o - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - o November 15, 2001 O P - S F N E T Volume 8, Number 6 ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ Editor: Martin Muldoon muldoon@yorku.ca The Electronic News Net of the SIAM Activity Group on Orthogonal Polynomials and Special Functions Please send contributions to: poly@siam.org Subscribe by mailing to: poly-request@siam.org or to: listproc@nist.gov o - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - o Today's Topics: 1. Message from the Chair: 2. International Conference in Varanasi 3. Conference on Operator Theory in Bedlewo, Poland 4. International Workshop on Orthogonal Polynomials (Madrid) 5. SIAM turns 50 in 2002 6. ICIAM - Sydney 2003 7. 2003 OPSFA Symposium to be held in Copenhagen 8. Amsterdam Special Functions conference canceled 9. Update on "Special Functions in the Digital Age" 10. Update on FoCM'02 Workshop on Special Functions 11. Reports on Inzell Summer School 12. Report on a Conference in Honor of Bill Jones 13. Report from a Conference Honoring Claude Brezinski 14. CAOP flies again 15. Proceedings of 1998 Mount Holyoke Conference 16. Selected Papers of Frank Olver 17. SIAM adds text on Asymptotics to Classics Series 18. New book on Asymptotics and Mellin-Barnes Integrals 19. Book on Incomplete Gamma Functions 20. Preprints in xxx Archive 21. About the Activity Group 22. Submitting contributions to OP-SF NET and Newsletter Calendar of Events: 2002 February 20-21: Workshop on Approximation Theory, Tel Aviv, Israel 8.5 #2 March 2-4: Varanasi Conference on Special Functions 8.6 #2 May 11-18: Conference on Operator Theory in Bedlewo, Poland 8.6 #3 June 24-27: International Workshop on Orthogonal Polynomials, Leganes, Madrid 8.6 #4 July 1-5: International Conference on Differential, Difference Equations and their Applications. Patras, Greece 8.4 #3 July 8-12 - SIAM 50th Anniversary & Annual Meeting Philadelphia, Pennsylvania, USA 8.6 #5 July 22 - August 2: IMA Summer Program "Special Functions in the Digital Age" Minneapolis, Minnesota, USA 8.2 #7 8.6 #9 August 5-14: Workshop on Special Functions at FoCM'02, "Foundations of Computational Mathematics" Minneapolis, Minnesota, USA 8.1 #1 8.6 #10 August 12-17: Summer school in Orthogonal Polynomials and Special Functions, Leuven, Belgium 8.4 #4 2003 July 7-11: 5th International Congress on Industrial and Applied Mathematics, ICIAM 2003, Sydney, Australia. 8.6 #6 August 18-22: Seventh International Symposium on Orthogonal Polynomials, Special Functions and Applications, Copenhagen, Denmark 8.6 #7 Future plans: There are plans to organize a summer school on Orthogonal Polynomials and Special Functions in Portugal in July 2003. (Contact person: Amilcar Branquinho). This is in the series Inzell, 2001 (OP-SF NET 8.3, Topic #3), and Leuven, 2002 (OP-SF NET 8.4, Topic #4). The coordinator of the three summer schools is Erik Koelink (koelink@dutiaw4.twi.tudelft.nl). These summer schools are part of our Activity Group's scientific program. The scientific committee consists of Erik Koelink, Rupert Lasser, Amilcar Branquinho, Paco Marcellan and Walter Van Assche. Topic #1 ------------- OP-SF NET 8.6 ------------- November 15, 2001 ~~~~~~~~~~~~~ From: Daniel Lozier Subject: Message from the Chair Message from the Chair: I regret to inform our activity group members that we have abandoned our plans to have an OPSF minisymposium at the SIAM 50th Anniversary Meeting in Philadelphia in July 2002. The reasons are given in the following paragraphs. I wish to thank the OPSF program committee for its efforts. Thanks also to Nico Temme (CWI, Amsterdam) for his agreement to deliver the 45-minute topical address and the individuals who agreed to speak in the minisymposium: Arno Kuijlaars (KU Leuven, Belgium), Jesˇs S. Dehesa (Universidad de Granada, Spain), David Sattinger (Utah State University, USA) and William Reinhardt (University of Washington, Seattle, USA). My apologies to all of them. On March 21, 2001, our activity group officers received email asking us to suggest a topical speaker and propose a minisymposium for SIAM 50. We responded by contacting Nico and securing his agreement to present a 45-minute talk on Special Functions and Asymptotics. Nico also agreed to be co-organizer with our program chairman, Paco Marcellan, of a minisymposium on New Trends in Special Functions and Orthogonal Polynomials: From Classical Analysis to Applications. We were very disappointed to learn that Nico is not among the topical speakers chosen to speak at SIAM 50. Our experience with past SIAM annual meetings has often been that many of our members do not attend. This may be because they do not perceive the general program as sufficiently relevant to their research, and they may prefer to attend meetings that are focused on special functions. Also, annual meeting attendees who are not members of our group usually choose another minisymposium from the many running in parallel with ours. As a result attendance has been often been poor at OPSF minisymposia. The officers have discussed ways to overcome this problem. We came to the conclusion that a good way of counteracting the low visibility of OPSF at annual meetings would be to tie our minisymposium to a plenary talk. Therefore we hoped our topical speaker would be on the larger program at SIAM 50. Since this is not the case, we felt was better to withdraw the minisymposium. In subsequent discussions, SIAM representatives have reaffirmed their support for our activity group and their desire to work with us on future events. Several possibilities exist, and I will report on some of them in the next newsletter. Sincerely, Dan Lozier Chair, SIAM Activity Group on Orthogonal Polynomials and Special Functions Topic #2 ------------- OP-SF NET 8.6 ------------- November 15, 2001 ~~~~~~~~~~~~~ From: M. A. Pathan Subject: International Conference in Varanasi First Announcement The next International Conference of the Society of Special Functions and their Applications is scheduled to be held at Varanasi from March 4-6, 2002. The organizers of the conference have great pleasure in extending an invitation to those interested to participate in this conference and calls for papers for presentation. National and international funding agencies are being approached for sponsorship and it is hoped that all participants will be provided local hospitality for the duration of the Conference which will include invited talks by experts and paper presentation/poster sessions. You are requested to kindly send an abstract of your paper (not exceeding 500 words) on or before January 30, 2002 either by mail, email or fax to the General Secretary of the Society, Prof. M.A. Pathan. Organizing Committee Prof. R. P. Agarwal Prof. N. K. Thakare Prof. H. L. Manocha Prof. S. Bhargawa Prof. R. S. Pathak, Convenor & Local Organizing Secretary Prof. Arun Verma Prof. M. A. Pathan Prof. R. Y. Denis Prof. K. Srinivasa Rao Prof. A. K. Agrawal Prof. C. K. Sharma Dr. P. K. Banerji Dr. S. N. Singh Dr. M. Azhar Husain Dr. S. Ahmad Ali The following are the registration charges for participation in the conference: Delegate fee (Indian): Rs 400/- (for life members) Rs 500/- (for sessional members) Student participants fee: Rs 300/- (for life members) Rs 400/- (for sessional members) Foreign participants: $100. The registration charges may be paid through a Bank Draft in favour of "SSFA Conference 2002" payable at Varanasi. Pleas confirm your participation at your earliest to the Local Organizing Secretary: Prof. R. S. Pathak Department of Mathematics Banaras Hindu University Phones (Off.): +91-542-310291 Ext: 334 Varanasi 221 005, India (Res.): +91-542-275662 Any other information required by the participants may be addressed to the Local Organizing Secretary. ************************************************************************ Prof. M. A. Pathan General Secretary of SSFA & Chairman Department of Mathematics Phones (Off.): +91-571-701019 Aligarh Muslim University (Res.): +91-571-701282 Aligarh 201 022 Fax: +91-571-704229 India Email: mapathan@postmark.net Topic #3 ------------- OP-SF NET 8.6 ------------- November 15, 2001 ~~~~~~~~~~~~~ From: Walter Van Assche Subject: Operator Theory conference in Bedlewo, Poland There will be an international conference on "Operator Theory and its Applications in Mathematical Physics" in Bedlewo (near Poznan) in Poland, from May 11 to May 18, 2002. The topics of the conference are collected in three sections: 1) Singular perturbation in operator theory (organizers: W. Karwowski and P. Kurasov) 2) Random and quasiperiodic Schr\"odinger operators (organizers: P. Stollmann and G. Stolz) 3) Spectral analysis of Jacobi matrices: discrete models in quantum optics (organizers: W. Van Assche, J. Janas, S. Naboko) I would like to encourage people to participate, in particular to section 3. Plenary speakers include J.S. Geronimo (Georgia Institute of Technology, Atlanta), Gerard Teschl (University of Vienna), Thomas Kriecherbauer (Ludwig-Maximilians University, Munchen) and various others. The fee is $300 (before February 15, 2002) and covers lodging, food, banquet and conference material. Details can be found at http://www.impan.gov.pl/BC/02OperTh.html Topic #4 ------------- OP-SF NET 8.6 ------------- November 15, 2001 ~~~~~~~~~~~~~ From: Renato Alvares-Nodarse Subject: International Workshop on Orthogonal Polynomials (Madrid) International Workshop on Orthogonal Polynomials: Orthogonal Polynomials and Approximation Theory (IWOP'02), Leganes (Madrid), June 24--27, 2002. After a two-year break we will continue with the IWOP series started in 1992 (dedicated to Sobolev orthogonal polynomials), 1994 (polynomials orthogonal in the unit circle), 1996 (orthogonal polynomials in mathematical physics) and the last one in 1998 (dedicated to numerical applications and symbolic algorithms). This time, the 2002 edition will be dedicated to "Orthogonal Polynomials and Approximation Theory". The invited speakers will be J. S. Geronimo (Georgia Institute of Technology, USA), A. B. J. Kuijlaars (Katholieke University Leuven, Belgium), A. Martinez-Filkenshtein (University of Almeria, Spain), L. Jodar (University of Valencia, Spain) and P. Gonzalez Vera (University of La Laguna, Spain) The Scientific Committee consists of Paco Marcellan (Universidad Carlos III de Madrid), Jesus Dehesa (University of Granada), Antonio Duran (University of Sevilla), Guillermo Lopez Lagomasino (Universidad Carlos III de Madrid) and Walter Van Assche (Katholieke University Leuven) The Organizing Committee consists of Paco Marcellan (Universidad Carlos III de Madrid) Jorge Arvesu (Universidad Carlos III de Madrid) and Renato Alvarez-Nodarse (University of Sevilla) There will be six two-hour invited lectures, and 20 research seminars (20+5 min). Further information will appear in the official URL site of the IWOP'02 http://merlin.us.es/~renato/iwop/ Topic #5 ------------- OP-SF NET 8.6 ------------- November 15, 2001 ~~~~~~~~~~~~~ From: Marty Golubitsky and Margaret Wright Subject: SIAM turns 50 in 2002 Dear SIAM Member, SIAM will celebrate its 50th birthday at "SIAM50", a special annual meeting to be held in Philadelphia, July 8-12, 2002. This meeting will survey past accomplishments, highlight today's lively areas, and attempt to look into the future of applied and computational mathematics. On behalf of the organizing committee --- Marsha Berger, Heinz Engl, Walter Strauss, and ourselves --- we ask you to join us at SIAM50. Five outstanding researchers have agreed to give plenary talks: Ingrid Daubechies (Princeton University), Martin Groetschel (ZIB, Berlin), Philip J. Holmes (Princeton University), Cleve B. Moler (The Mathworks), and George C. Papanicolaou (Stanford University). SIAM50 will also feature twenty topical speakers covering the breadth of SIAM's interests. A novel element of SIAM50 will be five "minitutorials", invited minisymposia intended for non-experts. These sessions, chosen by a special committee, focus on applications where mathematics and computing are making substantial contributions: learning-based statistical methods in computer vision; reverse engineering gene networks; elliptic curve cryptography; discontinuous Galerkin methods for partial differential equations; and harmonic analysis in geometric modeling. As well as a wide variety of technical sessions, SIAM50 will offer * the opening reception with a 50-year retrospective, * the community lecture followed by a reception at the Franklin Institute, * exhibits about the history and future of applied mathematics, * an evening of professional development organized by a committee of SIAM's next generation, * diversity day, teachers day and * a gala banquet. (Come prepared with a toast for SIAM.) SIAM50 will include approximately 100 minisymposia, and we welcome minisymposium proposals (due on January 16, 2002). Abstracts for contributed and poster presentations are due on February 13, 2002. Details and updates are available at the SIAM website: www.siam.org/meetings/SIAM50/. We look forward to seeing you in Philadelphia next July. Best wishes, Marty Golubitsky Margaret Wright University of Houston New York University Co-Chairs SIAM50 Topic #6 ------------- OP-SF NET 8.6 ------------- November 15, 2001 ~~~~~~~~~~~~~ From: OP-SF NET Editor Subject: ICIAM - Sydney 2003 From: http://www.iciam.org/iciamHome/iciamHome_tf.html International Congress of Industrial and Applied Mathematics July 7-11, 2003 -- Sydney, Australia The International Program Committee has announced the names of the twenty-seven outstanding mathematical scientists who will be the invited speakers at ICIAM 2003: Brian (B.D.O.) Anderson, Australia systems, control and signal processing Marsha Berger, USA mesh generation, computational fluid dynamics, scientific computing Yann Brenier, France nonlinear PDE Franco Brezzi, Italy finite element methods, engineering applications Jennifer Tour Chayes, USA statistical physics, phase transitions, theory group at Microsoft Mark Davis, UK mathematical finance, stochastic analysis James Demmel, USA numerical linear algebra, simulation Peter Deuflhard, Germany modelling, simulation, optimization, scientific computing David Donoho, USA mathematical statistics, wavelets, visualization Yoshikazu Giga, Japan Navier-Stokes equations, nonlinear PDE Alice Guionnet, France particle approximations, random interactions, free probability related to large random matrices Tom (T.Y.) Hou, USA analysis and simulation of multiscale and free-boundary problems Jonathan Keating, UK dynamical systems, asymptotics, quantum chaos Rupert Klein, Germany computational fluid dynamics, modelling, combustion Nancy Kopell, USA dynamics of the nervous system, gene regulatory networks, geometric singular perturbations Tom (F.T.) Leighton, USA computer science, parallel algorithms, the internet Peter A. Markowich, Austria semiconductor modelling, kinetic equations, diffusion and dispersion Alexander Mielke, Germany nonlinear PDE, dynamics, continuum mechanics Harald Niederreiter, Singapore quasi-Monte Carlo methods, discrete mathematics Michael Ortiz, USA solid mechanics, materials George (G.C.) Papanicolaou, USA waves, diffusion, multi-scale phenomena Neil (N.J.A.) Sloane, USA error-correcting codes, sphere packings, integer sequences Philippe (Ph. L.) Toint, Belgium nonlinear optimization Ernie (E.O.) Tuck, Australia ship hydrodynamics, applied fluids Henk (H.A.) van der Vorst, Netherlands numerical linear algebra, iterative methods Ying Lung-an, China nonlinear PDE, numerical methods Vladimir (V.E.) Zakharov, Russia/USA turbulence, integrable systems, kinetics Submission of Minisymposium Proposals Minisymposia are at the heart of many international conferences in mathematics. For many ICIAM participants it is the minisymposia, in their variety and quality, that are their most attractive feature of the Congress. Mathematical scientists worldwide are now invited to arrange minisymposium proposals for ICIAM 2003, to be held in Sydney from July 7-11, 2003. If you wish to arrange minisymposia around the interests of the invited speakers of ICIAM 2003, then you are advised to make a start on this as early as possible. The closing date for minisymposium proposals will be in September-October 2002; the precise date will be announced when the Registration Circular is released in early 2002. More information on ICIAM 2003 is available at the web site: http://www.iciam.org/iciamHome/iciamHome_tf.html Topic #7 ------------- OP-SF NET 8.6 ------------- November 15, 2001 ~~~~~~~~~~~~~ From: Christian Berg Subject: 2003 OPSFA Symposium to be held in Copenhagen At the Sixth International Symposium on Orthogonal Polynomials, Special Functions and Applications (The 6th OPSFA) in Rome, June 18-22, 2001, there was a discussion of when and where the next meeting should take place. Teams from Holland and Denmark were both willing to host a meeting in 2003. It was left to those teams to find an agreement. Such an agreement has now been reached. The Copenhagen team promises to arrange the Seventh International Symposium on Orthogonal Polynomials, Special Functions and Applications (The 7th OPSFA) in Copenhagen, August 18-22, 2003. The plan is that the meeting will take place at the Department of Mathematics of the University of Copenhagen. The conference will be a continuation of the series of International Conferences with the meetings of Sevilla (1997), Patras (1999) and Rome/Ostia (2001) as the immediate predecessors. Information about the meeting will be made available at the homepage http://www.math.ku.dk/conf/opsfa2003/ In the coming half year steps will be taken to form an international scientific committee. The local organizing committee will be Professor Christian Berg, Ph.D. student Jacob Stordal Christiansen and Associate Professor Henrik L. Pedersen. Topic #8 ------------- OP-SF NET 8.6 ------------- November 15, 2001 ~~~~~~~~~~~~~ From: Tom Koornwinder, Erik Koelink, Nico Temme (, , ) Subject: Amsterdam Special Functions conference canceled As mentioned earlier, see in OP-SF NET 7.6, Topic #1, the next meeting in the series Fields-Toronto (1995) - CRM-Montreal (1996) - Mount Holyoke (1998) - Hong Kong (1999) - Arizona (2000) was expected to be held in Amsterdam in 2003, and organized by the three of us. Originally the meeting was expected in 2002, but we became aware of the two meetings at IMA, Minneapolis in July-August 2002 (see http://www.ima.umn.edu/digital-age/ and http://www.damtp.cam.ac.uk/user/na/FoCM/Conferences.html). During the Sixth International Symposium on Orthogonal Polynomials, Special Functions and Applications, June 18--22, 2001, Ostia-Roma, in the series .., Sevilla, Patras, we learned that Christian Berg is willing to organize the next meeting of this series in Copenhagen, in the summer of 2003. We have discussed with Christian several plans to combine, to have separate meetings, and so on, but we have decided to cancel the Amsterdam meeting. For us, and for Christian and his co-workers, organizing a meeting in 2004 or later is not possible. Also, we expect that two meetings in the same year would be a bad decision. More details on the Copenhagen meeting are given in Topic #7. Topic #9 ------------- OP-SF NET 8.6 ------------- November 15, 2001 ~~~~~~~~~~~~~ From: OP-SF NET Editor Subject: Update on "Special Functions in the Digital Age" As announced in OP-SF NET, Topic #7, an IMA Summer Program "Special Functions in the Digital Age will be held in Minneapolis, Minnesota, USA during the period July 22-August 2, 2002. [It will be followed by a Workshop on Special Functions which will be part of a Foundations of Computational Mathematics conference. See Topic #10.] The Summer Program Website http://www.ima.umn.edu/digital-age/ has been updated recently. There is additional information on the Program Plan and Tentative Schedule as well as a list of confirmed participants. Topic #10 ------------- OP-SF NET 8.6 ------------- November 15, 2001 ~~~~~~~~~~~~~ From: OP-SF NET Editor Subject: Update on FoCM'02 Workshop on Special Functions This is taken from the web site: http://turing.wins.uva.nl/~thk/FoCM02/ Workshop on Special Functions, FoCM'02, IMA, Minneapolis, 5-7 August 2002 This is one of the 19 workshops during the conference FoCM'02 at the IMA, University of Minnesota, Minneapolis, MN, USA, 5-14 August 2002. The workshop will run for 3 successive afternoons during 5-7 August (Monday - Wednesday). The workshop will be held immediately after the IMA 2002 Summer Program Special Functions in the Digital Age at the IMA in Minneapolis, 22 July - 2 August 2002. Workshop organizers Tom H. Koornwinder (Universiteit van Amsterdam; email thk@science.uva.nl) Adri Olde Daalhuis (University of Edinburgh; email adri@maths.ed.ac.uk). List of speakers (to be further completed) Peter A. Clarkson (University of Kent, Canterbury, UK) Chris Howls (University of Southampton, UK) Mourad E.H. Ismail (University of South Florida, Tampa, Florida, USA), Solutions of Bethe Ansatz equations in some physics models, see abstract*. Richard Paris (University of Abertay, Dundee, UK) Marko Petkovsek (University of Ljubljana, Slovenia), On the structure of multivariate hypergeometric terms. Vyacheslav P. Spiridonov (Bogoliubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, Dubna, Russia) Nico M. Temme (CWI, Amsterdam, Netherlands) Paul Terwilliger (University of Wisconsin-Madison, USA) Springer, publisher of the new journal "Foundations of Computational Mathematics", (http://link.springer-ny.com/link/service/journals/10208/index.htm) has offered to provide free copies of the August 2002 issue of the journal to the registrants at FoCM2002. Any article appearing in this issue will need to finish the refereeing process and have its final version in the editorial office before March 2002. *Abstract of Ismail's lecture The Bethe Ansatz equations are nonlinear algebraic equations satisfied by the eigenvalues of a physical system. Stieltjes solved these equations for the Coulomb gas model. This work is also connected to earlier work of Heine who counted the number of polynomial solutions to second order differential equations with polynomial coefficients. q-Analogues of these results will be described and I will show the connection with Bethe Ansatz equations for the XXX and XXZ models. In doing so one needs to develop a new theory of singularities of second order equations in the Askey-Wilson operators. This is based on joint work with S. S. Lin and S.S. Roan from Taipei. Topic #11 ------------- OP-SF NET 8.6 ------------- November 15, 2001 ~~~~~~~~~~~~~ From: OP-SF NET Editor Subjects: Reports on Inzell Summer School The Activity Group's Summer School on Orthogonal Polynomials, Harmonic Analysis, Approximation and Applications was held in Inzell (Germany) during September 17 - 21, 2001. The following reports from Frank Filbir and Christian Berg appeared in our October printed Newsletter: >From Frank Filbir After the first SIAG summer school 2000 in Laredo (Spain) the second one in a series of four took place from September 17th to 21th in Inzell, (Germany), a small town located south-east of Munich close to Salzburg. About 40 participants, mostly PhD students and young researchers from 7 different countries attended the meeting. The summer school was mainly focused on orthogonal polynomials and their various applications. We had main lectures (4 hours each) by Holger Dette (Bochum, Germany), Ryszard Szwarc (Wroclaw, Poland) and Yuan Xu (Eugene, Oregon, U.S.A.) and additionally 18 contributed talks. Unfortunately Kristian Seip (Trondheim, Norway) who was announced as a invited speaker too had to cancel his participation suddenly. Instead Rupert Lasser acted for him. Due to the serious problems with the transatlantic flights during that period William Connett (St. Louis, U.S.A.) was also not able to participate. Holger Dette presented a very stimulating lecture on canonical moments and their relations to the design problems in statistics. Ryszard Szwarc gave a very interesting and detailed lecture on the problem of non-negative linearization and the connections to commutative Banach algebras. Yuan Xu introduced us to the very challenging field of orthogonal polynomials of several variables. Finally, Rupert Lasser lectured on polynomial hypergroups and their applications to stochastics. Let me mention here only a few of the contributed talks (this is of course a very personal view). Els Coussement reported on her recent achievements about multiple orthogonal polynomials and the relations to Bessel functions of the second kind. In her talk Noemi Lain Fernandez gave us an impression about the difficulties of the construction of polynomial bases on the sphere with good localization properties. Finally, I would like to mention here the very nice presentation of Andreas Ruffing on raising and lowering operators for Charlier polynomials. As we all know the success of a meeting depends not only on the scientific program but also on the social program. On that score we were lucky to have gotten some support from the weather. Starting on Monday with a cloudy sky and rain we ended up on Wednesday (excursion day) with a nearly perfect sunny and warm day. Almost all participants went out for excursions in the nice surroundings of Inzell. However Ryszard Szwarc had to give up his plan to go skiing since all skiing areas within a reasonable distance were closed. We will pay more attention on those restrictions next time! The organizers would like to thank the sponsors of the summer school the GSF National Research Center and the graduate program "Applied Algorithmic Mathematics" of the Munich University of Technology. Due to their sponsorship we were also able to offer financial support to several participants. Last but not least the organizers wish to express their thanks to all participants for their various contributions! >From Christian Berg The second of four Summer Schools planned for the years 2000-2003 took place September 17-21, 2001 at Inzell in Bavaria, Germany close to Salzburg. The local Organizing Committee consisting of Frank Filbir (MU Lubeck), Brigitte Forster (TU Munchen) and Rupert Lasser (GSF Neuherberg and TU Munchen) had selected the very pleasant Hotel Chiemgauer Hof to provide some 40 participants with nice and abundant food and a good lecture hall. Approximately half of the participants were Ph.D. students or post docs. The program contained four series of lectures, each a total of 4 full hours divided into three sessions. In addition approximately 20 contributed talks were given. Holger Dette (RU Bochum) told us about "Canonical moments, orthogonal polynomials with applications to statistics", a subject with a rather new development as may be seen from the recent monograph by the speaker and W.J. Studden: "The theory of canonical moments with applications in statistics, probability and analysis", Wiley 1997. The canonical moments are defined for a probability measure with compact support, and since they are invariant under affine transformations of the probability, the definition is usually considered for measures on [0,1]. Dette presented the formulas for measures on [-1,1] because of applications to Jacobi polynomials. In many examples the canonical moments are much simpler than the ordinary moments, and they have many statistical applications, in particular to optimal design. Rupert Lasser had accepted with short notice to replace K. Seip, and he told us about "Applied Harmonic Analysis". He presented the main ideas of hypergroups--in the discrete setting to avoid technicalities--and constructed the Banach *-algebra with respect to a left invariant Haar function. He then applied the Gelfand theory in the commutative case and went as far as giving the analogues of the theorems of Bochner and Plancherel. An important example arizes in connection with orthogonal polynomials having non-negative linearization coefficients like the Gegenbauer polynomials. Under still further assumptions such a system defines a commutative hypergroup structure on {0,1,...}. The lectures by Lasser prepared us for those of Ryszard Szwarc (Wroclaw Univ.) "Orthogonal polynomials with applications to Banach algebras". After a general introduction to the theory of orthogonal polynomials of one variable, he focused on conditions leading to non-negative linearization coefficients (called property (P)). He presented Askey's sufficient condition and his own contributions based on a maximum principle for a discrete hyperbolic partial difference equation. The exact range of parameters for the generalized Chebyshev polynomials such that property (P) holds is still not known. The fourth series of lectures was given by Yuan Xu (Univ. of Oregon, Eugene) "Orthogonal polynomials of several variables". Earlier this year appeared the monograph by Charles Dunkl and the speaker with the same title, and a few years ago Xu presented many important general results for the several variable case of orthogonal polynomials in his Pitman Research Notes, vol. 312. Xu gave his version of the three-term recurrence relation with applications to a Christoffel-Darboux formula and to common zeros of the orthonormal polynomials of total degree N. There is no agreement as to which systems of orthogonal polynomials of several variables should be called classical. Easy cases occur by just taking products of classical weights from one variable, but also various radially symmetric weights are important. Xu showed us important systems for balls and the simplex and relations between orthogonal polynomials on a ball and on the unit sphere, generalizing the classical spherical harmonics. He also introduced us to the theory of h-harmonic polynomials due to Dunkl, where h belongs to a finite group of reflections. Xu stressed several times in his lectures that the theory of orthogonal polynomials in several variables is still in its very beginning. There are certainly already many fascinating results but large unexplored areas are waiting for examination. The participants were lucky that Xu had been already one week in Europe, when the Inzell meeting began. Otherwise he would most probably not have been able to leave the US. The disaster of September 11 prevented Bill Connett from participating. The meeting started with some rainy days, but on Wednesday afternoon (set aside for relaxing) the weather was sunny and warm, and the participants spread out in different groups, hiking on nearby mountains, going to Salzburg or visiting Konigsee, just to mention some of the many possibilities. On behalf of the participants I wish to thank the local organizers, the team of initiaters (Branquinho, Koelink, Lasser, Marcellan and Van Assche) as well as the Sponsors: The Graduate Program "Applied Algorithmic Mathematics", Technical University of Munich and the GSF-National Research Center for Environment and Health, Neuherberg for having given us all the chance to listen to exciting mathematics. Topic #12 ------------- OP-SF NET 8.6 ------------- November 15, 2001 ~~~~~~~~~~~~~ From: Walter Van Assche Subject: Report on a Conference in Honor of Bill Jones This year Bill Jones of the University of Colorado (Boulder, CO) reached the respectable age of 70, and since this is not a particularly interesting number, Phil Gustafson and Cathy Bonan-Hamada decided to organize a conference (on the Analytic Theory of Continued Fractions, Orthogonal Functions and Related Topics) to make 70 a special number for Bill. Mesa State College at Grand Junction, Colorado, was the place to be during the week of August 6-10 and 28 participants (and friends of Bill) showed up to sing happy birthday in various languages: Norwegian, (Brazilian) Portuguese, (Flemish) Dutch, and (American) English. There were plenary lectures by Annie Cuyt on "Recent applications of rational approximation theory", Lisa Lorentzen on "The computation of continued fractions", Olav Njastad on "Continued fractions associated with rational moment problems", myself on "The Riemann-Hilbert approach for relativistic Hermite polynomials", and Haakon Waadeland who gave a nice overview of his long relationship with Bill Jones. Several other participants gave talks on topics that Bill Jones has worked on: of course this includes continued fractions, but also Pade approximation, orthogonal and Laurent orthogonal polynomials, a great deal of frequency analysis (how can we use orthogonal polynomials on the unit circle to find frequencies in a signal?), computation of special functions, and various applications. For the latter we were fortunate to have as a participant David Field, a former student of Bill Jones, now working for General Motors. The conference even made the newspaper: The Denver Post of August 10, 2001 has an article "Math magicians boost mind-numbering skills", with a picture of Haakon Waadeland and Annie Cuyt and a well-written report. A short quote from the report is: "Heads nod knowingly. Eyes light up at the strings of Greek symbols on the overhead projector. This may be an international conference dedicated to the analytic theory of continued fractions, orthogonal functions, rational approximation and related topics, but to the two dozen people in this room who have been drawn to Mesa State from around the world this week, there is only one word to describe it all. Fun." And fun it was. We enjoyed listening to the talks, discussing some past, present and future research, and making plans for a new collaboration. Of course we also enjoyed the excursion (some to Colorado National Monument, others to Grand Mesa) and the sturdiest among us (including Bill and his wife Martha) even went on a white water raft trip on the Colorado river. Many thanks to Phil and Cathy for having this wonderful idea of a conference and for the smooth organization. Topic #13 ------------- OP-SF NET 8.6 ------------- November 15, 2001 ~~~~~~~~~~~~~ From: Daniela Calvetti Subject: Report from a Conference Honoring Claude Brezinski [We thank the authors (Daniella Calvetti and Lothar Reichel) for their permission to include this report which appeared in NA-digest. ] Numerical Algorithms 2001 The International Conference on Numerical Algorithms dedicated to Claude Brezinski on the occasion of his 60th birthday took place in Marrakesh, Morocco, October 1-5, 2001. The conference was attended by approximately 170 participants from 4 continents, and was characterized by a warm and friendly atmosphere. The week-long meeting featured a wealth of high quality talks on many diverse topics, from Pade' and rational approximation, orthogonal polynomials, extrapolation methods, quadrature, the solution of large linear or nonlinear systems of equations, inverse problems and optimization, reflecting the multifaceted nature of Claude Brezinski's research interests and scientific contributions. During his successful and productive career, Claude Brezinski (co)authored eleven books, over 160 research papers, started three scientific journals and served as a model and an inspirer for a large number of students and colleagues. Many of Claude's students, it was pointed out at the opening of the conference by the rector of the University of Marrakesh, are from Morocco, and Claude's work with these students and continued mentoring has been greatly beneficial to the growth of numerical analysis in Morocco. In addition to attending the lectures, the participants also had several opportunities to experience the magic charm of Morocco thanks to a full social program, which included mint tea in a palm orchard, dinner at an outdoor restaurant with a traditional Moroccan show, an excursion to Essaouira on the Atlantic coast, and a conference banquet complete two belly dancers and reminiscences by Peter Graves-Morris on the topic "My Conferences with Claude." Claude's high level of energy and vitality permeated the whole conference and was quite contagious. At the conference banquet he gave a presentation, complete with slides, on "What Really Happens at Conferences - and Never Gets Reported in the NA-Digest." Needless to say, details of Claude's talk cannot be revealed here. The organizing committee, which included B. Beckermann, A. Bentbib, B. Germain-Bonne, J.-P. Chehab, M. El Alaoui-Talibi, A. Lembarki, M. Prevost, A. Matos, A. Messaoudi, M. Redivo Zaglia, R. Sadaka, H. Sadok, and J. Van Iseghem did an excellent job and the conference ran extremely smoothly in spite of the many disruptions caused by the September 11 events. The members of committee were very helpful also with practical algorithms, like offering advice on what to eat and drink, how to negotiate a taxi fare and where and how to buy local crafts. Congratulations, Claude! You've got your transit papers. Daniela Calvetti and Lothar Reichel Topic #14 ------------- OP-SF NET 8.6 ------------- November 15, 2001 ~~~~~~~~~~~~~ From: Tom Koornwinder Subject: CAOP flies again CAOP is a package for calculating formulas by Maple for orthogonal polynomials belonging to the Askey scheme. It was developed by Rene Swarttouw in 1996 as one of the deliverables in a temporary project sponsored by RIACA. See OP-SF NET, 3.4 (1996), Topic 12. For some time this has worked well, but afterwards CAOP could no longer be made active on the web site where it resided. Recently CAOP has revived on the web page http://amstel.wins.uva.nl:7090/CAOP/ It is now maintained by Tom Koornwinder, in cooperation with Rene Swarttouw and Wolfram Koepf. Many thanks to Andre Heck, who provided technical assistance. Topic #15 ------------- OP-SF NET 8.6 ------------- November 15, 2001 ~~~~~~~~~~~~~ From: OP-SF NET Editor Subject: Proceedings of 1998 Mount Holyoke Conference This is the conference reported on in OP-SF NET 5.4, Topic #7. The following is from http://www.ams.org/bookstore. $q$-Series from a Contemporary Perspective Edited by: Mourad E. H. Ismail, University of South Florida, Tampa, FL, and Dennis W. Stanton, University of Minnesota, Minneapolis, MN Description This volume presents the proceedings of the Joint Summer Research Conference on $q$-series, combinatorics, and computer algebra held at Mount Holyoke College (South Hadley, MA). All of the papers were contributed by participants and offer original research on topics of current interest. Articles in the book reflect the diversity of areas that overlap with $q$-series, as well as the usefulness of $q$-series across the mathematical sciences. The conference was held in honor of Richard Askey on the occasion of his 65th birthday and the proceedings contain an article about Askey's contributions to special functions. - G. Gasper, M. E.-H. Ismail, T. Koornwinder, P. Nevai, and D. Stanton -- The mathematical contributions of Richard Askey - M. E. H. Ismail and D. W. Stanton -- Curriculum vitae of Richard A. Askey - K. Alladi -- Reformulations of a partition theorem of Göllnitz and $q$-series identities - G. E. Andrews -- Schur's theorem, partitions with odd parts and the Al-Salam-Carlitz polynomials - K. Aomoto and K. Iguchi -- Singularity and monodromy of quasi-hypergeometric functions - B. C. Berndt, H. H. Chan, and S.-S. Huang -- Incomplete elliptic integrals in Ramanujan's lost notebook - W. C. Connett and A. L. Schwartz -- Measure algebras associated with orthogonal polynomials - D. Foata and G. Han -- Word straightening and $q$-Eulerian calculus - O. Foda, K. S. M. Lee, Y. Pugai, and T. A. Welsh -- Path generating transforms - G. Gasper -- $q$-extensions of Erdélyi's fractional integral representations for hypergeometric functions and some summation formulas for double $q$-Kampé de Fériet series - R. Wm. Gosper, Jr. and S. K. Suslov -- Numerical investigation of basic Fourier series - M. D. Hirschhorn -- An identity of Ramanujan, and applications - M. E. H. Ismail and D. W. Stanton -- Addition theorems for the $q$-exponential function - K. W. J. Kadell -- The Schur functions for partitions with complex parts - J. Kaneko -- On Forrester's generalization of Morris constant term identity - A. N. Kirillov -- New combinatorial formula for modified Hall-Littlewood polynomials - C. Krattenthaler -- Schur function identities and the number of perfect matchings of Holey Aztec rectangles - S. C. Milne -- A new $U(n)$ generalization of the Jacobi triple product identity - H. Rosengren -- A new quantum algebraic interpretation of the Askey-Wilson polynomials - S. Sahi -- Some properties of Koornwinder polynomials - M. Schlosser -- A new multidimensional matrix inversion in $A_r$ Details: Publisher: American Mathematical Society Distributor: American Mathematical Society Series: Contemporary Mathematics, ISSN: 0271-4132 Volume: 254 Publication Year: 2000 ISBN: 0-8218-1150-9 Paging: 432 pp. Binding: Softcover List Price: $93 Institutional Member Price: $74 Individual Member Price: $56 Sale Price: $47 Order Code: CONM/254 Topic #16 ------------- OP-SF NET 8.6 ------------- November 15, 2001 ~~~~~~~~~~~~~ From: OP-SF NET Editor Subject: Selected Papers of Frank Olver http://www.wspc.com.sg/books/mathematics/4251.html World Scientific Series in 20th Century Mathematics - Vol. 7 SELECTED PAPERS OF F. W. J. OLVER (In 2 Volumes) edited by Roderick Wong (City University of Hong Kong) 1124pp Pub. date: Jan 2000 ISBN 981-02-4106-2(set) US$236 / Ł161 This is a collection of selected papers written by Frank W J Olver from 1949 to 1999. It contains his most important contributions to the fields of asymptotic analysis and numerical analysis, including the global existence of uniform asymptotic expansions for solution of ordinary differential equations and construction of error bounds. It is a valuable collection for anyone who works in, or uses, asymptotics, and should be on the shelves of all major libraries. Contents: - The Asymptotic Solution of Linear Differential Equations of the Second Order for Large Values of a Parameter - The Asymptotic Expansion of Bessel Functions of Large Order Uniform Asymptotic Expansions for Weber Parabolic Cylinder Functions of Large Orders - Error Bounds for the Liouville-Green (or WKB) Approximation - Error Analysis of Phase-Integral Methods - Numerical Solution of Second-Order Linear Difference Equations - Unsolved Problems in the Asymptotic Estimation of Special Functions - General Connection Formulae for Liouville-Green Approximations in the Complex Plane - Beyond Floating Point - On Stokes' Phenomenon and Converging Factors - Airy and Bessel Functions by Parallel Integration of ODEs - Hyperasymptotic Solutions of Second-Order Linear Differential Equations - On the Asymptotic and Numerical Solution of Linear Ordinary Differential Equations and 42 other papers Readership: Graduates in asymptotic analysis, differential equations and numerical & computational methods. "These two volumes exemplify a redoubtable mathematical talent, the work of a man who has done more than almost anyone else in the 20th century to bestow on the discipline of applied mathematics the elegance and rigor that its earliest practitioners such as Gauss and Laplace would have wished for it ... the books are beautifully bound and printed ... D S Jones has contributed an intimate and adulatory introduction, and Roderick Wong should be congratulated for bringing the entire effort to fruition." (From the review by Jet Wimp in SIAM Review, Vol 43, 2001) Topic #17 ------------- OP-SF NET 8.6 ------------- November 15, 2001 ~~~~~~~~~~~~~ From: OP-SF NET Editor Subject: SIAM adds text on Asymptotics to Classics Series Asymptotic Approximations of Integrals By R. Wong 2001 / xvii + 543 pages / Softcover / ISBN 0-89871-497-4 List Price $77.00 / SIAM Member Price $53.90 / Order Code CL34 The Society for Industrial and Applied Mathematics (SIAM) announces the August 2001 publication of Asymptotic Approximations of Integrals by Roderick Wong as volume 34 in its Classics in Applied Mathematics series. Asymptotic methods are frequently used in many branches of both pure and applied mathematics, and this classic text remains the most up-to-date book dealing with one important aspect of this area, namely, asymptotic approximations of integrals. In Asymptotic Approximations of Integrals, all results are proved rigorously, and many of the approximation formulas are accompanied by error bounds. A thorough discussion on multidimensional integrals is given, and references are provided. Asymptotic Approximations of Integrals contains the distributional method, which is not available elsewhere. Most of the examples in this text come from concrete applications. Since its publication twelve years ago, significant developments have occurred in the general theory of asymptotic expansions, including smoothing of the Stokes phenomenon, uniform exponentially improved asymptotic expansions, and hyperasymptotics. These new concepts belong to the area now known as exponential asymptotics. Expositions of these new theories are available in papers published in various journals, but not yet in book form. This book can be used either as a text for graduate students in mathematics, physics, and engineering or as a reference for research workers in these fields. Engineers and scientists will find it easy to apply the techniques and results presented. Roderick S. C. Wong is a Professor of Mathematics and Dean of the Faculty of Science and Engineering at the City University of Hong Kong. The author of over 80 published papers and four edited books, Professor Wong currently serves on the editorial board of seven journals. He is the recipient of several prestigious honors, awards, and grants and is an honorary professor at three universities. A complete table of contents and other information are available at SIAM's Web site at www.siam.org/catalog/. FOR ADDITIONAL INFORMATION and REVIEW COPIES, PLEASE CONTACT: Sara J. Triller, Developmental Editor (triller@siam.org) Topic #18 ------------- OP-SF NET 8.6 ------------- November 15, 2001 ~~~~~~~~~~~~~ From: OP-SF NET Editor Subject: New book on Asymptotics and Mellin-Barnes Integrals [From the web site: http://us.cambridge.org/mathematics/] Asymptotics and Mellin-Barnes Integrals Paris, R.B. and Kaminski, D. Cambridge University Press, 2001 SERIES: Encyclopedia of Mathematics and its Applications Hardback - ISBN: 0-521-79001-8; $95.00 Asymptotics and Mellin-Barnes Integrals provides an account of the use and properties of a type of complex integral representation that arises frequently in the study of special functions typically of interest in classical analysis and mathematical physics. After developing the properties of these integrals, their use in determining the asymptotic behavior of special functions is detailed. Although such integrals have a long history, the book's account includes recent research results in analytic number theory and hyperasymptotics. The book also fills a gap in the literature on asymptotic analysis and special functions by providing a thorough account of the use of Mellin-Barnes integrals that is otherwise not available in standard references on asymptotics. Topic #19 ------------- OP-SF NET 8.6 ------------- November 15, 2001 ~~~~~~~~~~~~~ From: OP-SF NET Editor Subject: Book on Incomplete Gamma Functions [From the www.crcpress.com web page] On a Class of Incomplete Gamma Functions with Applications M. Aslam Chaudhry and Syed M. Zubair, King Fahd Univ.of Petroleum & Minerals, Saudi Arabia 512 pp. Chapman & Hall/CRC , 2001, ISBN 1-58488-143-7, $79.95 Description The subject of special functions is rich and expanding continuously with the emergence of new problems encountered in engineering and applied science applications. The development of computational techniques and the rapid growth in computing power have increased the importance of the special functions and their formulae for analytic representations. However, problems remain, particularly in heat conduction, astrophysics, and probability theory, whose solutions seem to defy even the most general classes of special functions. On a Class of Incomplete Gamma Functions with Applications introduces a class of special functions, developed by the authors, useful in the analytic study of several heat conduction problems. It presents some basic properties of these functions, including their recurrence relations, special cases, asymptotic representations, and integral transform relationships. The authors explore applications of these generalized functions to problems in transient heat conduction, special cases of laser sources, and problems associated with heat transfer in human tissues. They also discuss applications to astrophysics, probability theory, and other problems in theory of functions and present a fundamental solution to time-dependent laser sources with convective-type boundary conditions. Appendices include an introduction to heat conduction, Fourier conduction, a table of Laplace transforms, and well-known results regarding the improper integrals. Filled with tabular and graphical representations for applications, this monograph offers a unique opportunity to add to your mathematical toolbox a new and useful class of special functions. Topic #20 ------------- OP-SF NET 8.6 ------------- November 15, 2001 ~~~~~~~~~~~~~ From: OPSF NET Editor Subject: Preprints in xxx Archive The following preprints related to the fields of orthogonal polynomials and special functions were recently posted or cross-listed to one of the subcategories of the xxx archives. See especially: http://front.math.ucdavis.edu/math.CA http://front.math.ucdavis.edu/math.CO http://front.math.ucdavis.edu/math.QA http://xxx.lanl.gov/archive/solv-int math.CO/0110031 Title: Cumulants, lattice paths, and orthogonal polynomials Authors: Franz Lehner Comments: 12 pages, AMS LaTeX, uses pstricks Subj-class: Combinatorics MSC-class: 05A15, 46L54; 11A55, 05E35 math.CO/0110165 Title: New Identities of Hall-Littlewood Polynomials and Rogers-Ramanujan Type Authors: F. Jouhet, J. Zeng Comments: 25 pages Subj-class: Combinatorics math.NT/0110238 Title: Some new formulas for $\pi$ Authors: Gert Almkvist (Lunds Universitet), Christian Krattenthaler (Universität Wien), Joakim Petersson (Lunds Universitet) Comments: 28 pages, LaTeX Subj-class: Number Theory; Classical Analysis MSC-class: 40A25 (Primary) 11B65 11Y60 65B10 (Secondary) math.CA/0110241 Title: Geometric and Physical Interpretation of Fractional Integration and Fractional Differentiation Authors: Igor Podlubny Comments: 18 pages, 7 figures, 1 table Subj-class: Classical Analysis; General Mathematics; Mathematical Physics MSC-class: 26A33 (Primary) 26A42, 83C99, 44A35, 45D05 (Secondary) math.QA/0110269 Title: A remark on Fourier pairing and binomial formula for Macdonald polynomials Authors: Andrei Okounkov Comments: 11 pages Subj-class: Quantum Algebra; Combinatorics math.CO/0110307 Title: The generalized Borwein conjecture. II. Refined q-trinomial coefficients Authors: S. Ole Warnaar Comments: 36 pages, AMS-LaTeX Subj-class: Combinatorics; Quantum Algebra MSC-class: Primary 05A15, 05A19; Secondary 33D15 hep-ph/0110083 Title: Nested Sums, Expansion of Transcendental Functions and Multi-Scale Multi-Loop Integrals Authors: Sven Moch, Peter Uwer, Stefan Weinzierl Comments: 27 pages Subj-class: High Energy Physics - Phenomenology; Quantum Algebra hep-th/0110097 Title: Lucas polynomials and a standard Lax representation for the polytropic gas dynamics Authors: A. Constandache, Ashok Das, F. Toppan Comments: 17 pages, LaTex Subj-class: High Energy Physics - Theory; Exactly Solvable and Integrable Systems; Number Theory hep-th/0110278 Title: Regularized Green's Function for the Inverse Square Potential Authors: Horacio~~ E. Camblong, Carlos R. Ordonez Comments: 11 pages Subj-class: High Energy Physics - Theory; Mathematical Physics math-ph/0110006 Title: The Weyl Algebra, Spherical Harmonics, and Hahn Polynomials Authors: Ewa Gnatowska, Aleksander Strasburger Comments: 13 pages, uses bcp01e.sty Subj-class: Mathematical Physics; Representation Theory MSC-class: Primary 81R10, 33C55; Secondary: 16W25, 33C45, 33C80 math-ph/0110020 Title: Heat Kernel Asymptotics of Zaremba Boundary Value Problem Authors: Ivan Avramidi Comments: 40 pages, no figures, LaTex2e, 90 KB Subj-class: Mathematical Physics; Analysis of PDEs; Spectral Theory MSC-class: 58J35, 58J37, 58J50, 58J32, 35P20, 35K20 math-ph/0110038 Title: An elementary construction of lowering and raising operators for the trigonometric Calogero-Sutherland model Authors: Wifredo Garcia Fuertes, Miguel Lorente, Askold Perelomov (Univ. de Oviedo) Comments: 11 pages, no figures, to appear in J. Phys. A: Math. Gen Subj-class: Mathematical Physics math-ph/0110042 Title: Closed-form sums for some perturbation series involving associated Laguerre polynomials Authors: Richard L. Hall, Nasser Saad, Attila B. von Keviczky Comments: 16 pages Subj-class: Mathematical Physics math.CO/0109010 Title: Combinatorial proofs of q-series identities Authors: Robin Chapman Comments: 14 pages. Submitted to Journal of Combinatorial Theory A Subj-class: Combinatorics; Number Theory MSC-class: 05A17;11P81 math.CO/0109013 Title: Matrices related to the Pascal triangle Authors: Roland Bacher Comments: 24 pages, major changes in section 1, minor changes in section 5, added references Subj-class: Combinatorics; Number Theory MSC-class: 11B39, 11B65, 11C20 Journal-ref: Preprint no 541 of Institut Fourier, Grenoble (France) math.GM/0109072 Title: A further step in the proof of Riemann hypothesis Authors: Matti Pitkanen Comments: 10 pages Subj-class: General Mathematics math.CO/0109141 Title: The WP - Bailey Tree and its Implications Authors: George E. Andrews, Alexander Berkovich Comments: 20 pages, comments added, notations improved, typos eliminated Subj-class: Combinatorics; Number Theory; Quantum Algebra MSC-class: 05A10, 05A19, 05A30, 11B65, 33D15 math.CA/0109149 Title: Elliptic solitons and Heun's equation Authors: A.O. Smirnov Comments: 19 pages, LaTeX2e (AMSLaTeX);Proposition 1 was corrected, two footnotes were added Subj-class: Classical Analysis; Spectral Theory math.CA/0109185 Title: The Askey Scheme for Hypergeometric Orthogonal Polynomials Viewed from Asymptotic Analysis Authors: Nico M. Temme, Jose L. Lopez Comments: 11 pages, 1 figure. Proceedings of the Fifth International Symposium on Orthogonal Polynomials, Special Functions and Their Applications, Patras, Greece, September 20--24, 1999.pages, 1 figure. Subj-class: Classical Analysis MSC-class: 33C45, 41A60, 41A10 Journal-ref: J. Comput. Appl. Math. Vol. 133 (2001) 623--633 math.NA/0109187 Title: On Non-Oscillating Integrals for Computing Inhomogeneous Airy Functions Authors: Amparo Gil, Javier Segura, Nico M. Temme Comments: 12 pages, 5 figures Subj-class: Numerical Analysis; Classical Analysis MSC-class: 33C10, 41A60, 65D20 Journal-ref: Math. Comput. 70, 1183-1194 (2000) math.CA/0109188 Title: Numerical and Asymptotic Aspects of Parabolic Cylinder Functions Authors: Nico M. Temme Comments: 16 pages, 1 figure Subj-class: Classical Analysis; Numerical Analysis MSC-class: 33C15, 41A60, 65D20 Journal-ref: J. Comput. Appl. Math. 121 (2000) 221-246 math.CA/0109201 Title: Meixner functions and polynomials related to Lie algebra representations Authors: Wolter Groenevelt, Erik Koelink Comments: 20 pages Subj-class: Classical Analysis; Representation Theory math.CA/0109222 Title: Contiguous relations of hypergeometric series Authors: Raimundas Vidunas Comments: 10 pages; submitted for the proceedings of Sixth International Symposium on Orthogonal Polynomials, Special Functions and their Applications, Rome, June 2001 Subj-class: Classical Analysis MSC-class: 33C05; 33C20; 33D15 hep-th/0109028 Title: Coherent States for Generalized Laguerre Functions Authors: Ahmed Jellal Comments: 12 pages, clarifications and references added, misprints corrected Subj-class: High Energy Physics - Theory; Mathematical Physics hep-th/0109136 Title: Analytic continuation of the Hurwitz Zeta Function with physical application Authors: Vittorio Barone Adesi, Sergio Zerbini Comments: 9 pages Subj-class: High Energy Physics - Theory; Mathematical Physics math-ph/0109004 Title: Zeros of some bi-orthogonal polynomials Authors: M.L. Mehta (CEA/Saclay, SPhT, France) Comments: tex mehta.tex, 1 file, 9 pages [SPhT-T01/086], submitted to J. Phys. A Subj-class: Mathematical Physics math-ph/0109006 Title: On recent strategies proposed for proving the Riemann hypothesis Authors: E. Elizalde, V. Moretti, S. Zerbini Comments: 7 pages, LaTeX, no figures Subj-class: Mathematical Physics; General Mathematics; Number Theory MSC-class: 11M26; 30B40; 14G10; 46E20 math-ph/0109018 Title: A concise expression for the ODE's of orthogonal polynomials Authors: Bertrand Eynard (SPHT Saclay; CRM Montreal) Subj-class: Mathematical Physics; Spectral Theory MSC-class: 05Exx nlin.SI/0110028 Title: First degree birational transformations of the Painlev\'e equations and their contiguity relations Authors: Robert Conte (CEA, Saclay), Micheline Musette (VUV, Brussels) Comments: LaTex 2e. To appear, J. Phys. A, Special issue SIDE IV Subj-class: Exactly Solvable and Integrable Systems nlin.SI/0110031 Title: A truncation for obtaining all the first degree birational transformations of the Painlev\'e transcendents Authors: Robert Conte (CEA, Saclay), Micheline Musette (VUB, Brussels) Comments: LaTex 2e. To appear, J. Nonlinear Math. Phys Subj-class: Exactly Solvable and Integrable Systems hep-th/0110126 Title: New relations in the algebra of the Baxter Q-operators Authors: A. A. Belavin, A. V. Odesskii, R. A. Usmanov Comments: 35 pages, LaTeX Subj-class: High Energy Physics - Theory; Quantum Algebra; Exactly Solvable and Integrable Systems math-ph/0110011 Title: The XXZ spin chain at $\Delta=- {1/2}$: Bethe roots, symmetric functions and determinants Authors: Jan de Gier, Murray Batchelor, Bernard Nienhuis, Saibal Mitra Comments: 11 pages, revtex Subj-class: Mathematical Physics; Combinatorics; Statistical Mechanics; Exactly Solvable and Integrable Systems MSC-class: 82B23; 05A15 math.QA/0109140 Title: Difference L operators related to q-characters Authors: A.Kuniba, M.Okado, J.Suzuki, Y.Yamada Comments: 25 pages, LaTeX2e, no figure Subj-class: Quantum Algebra; Representation Theory; Exactly Solvable and Integrable Systems MSC-class: 81R50(Primary),82B23(Secondary) Topic #21 -------------- OP-SF NET 8.6 ------------- November 15, 2001 ~~~~~~~~~~~~~ From: OP-SF NET Editor Subject: About the Activity Group The SIAM Activity Group on Orthogonal Polynomials and Special Functions consists of a broad set of mathematicians, both pure and applied. The Group also includes engineers and scientists, students as well as experts. We have around 140 members scattered about in more than 20 countries. Whatever your specialty might be, we welcome your participation in this classical, and yet modern, topic. Our WWW home page is: http://math.nist.gov/opsf/ This is a convenient point of entry to all the services provided by the Group. Our Webmaster is Bonita Saunders (bonita.saunders@nist.gov). The Activity Group sponsors OP-SF NET, which is transmitted periodically by SIAM. It is provided as a free public service; membership in SIAM is not required. The OP-SF Net Editor is Martin Muldoon (muldoon@yorku.ca). To receive the OP-SF NET, send your name and email address to poly-request@siam.org. Back issues can be obtained at the WWW addresses: http://turing.wins.uva.nl/~thk/opsfnet http://www.math.ohio-state.edu/JAT/DATA/OPSFNET/opsfnet.html http://math.nist.gov/opsfnet/archive The NET provides fast turnaround compared to the printed Newsletter, also sponsored by the Activity Group, and edited by Renato Alvarez-Nodarse and Rafael Yanez. It appears three times a year and is mailed by SIAM. Back issues are accessible at: http://www.mathematik.uni-kassel.de/~koepf/siam.html To receive the Newsletter, you must be a member of SIAM and of the Activity Group. SIAM has several categories of membership, including low-cost categories for students and residents of developing countries. For current information on SIAM and Activity Group membership, contact: Society for Industrial and Applied Mathematics 3600 University City Science Center Philadelphia, PA 19104-2688 USA phone: +1-215-382-9800 email: service@siam.org WWW : http://www.siam.org http://www.siam.org/membership/outreachmem.htm Finally, the Activity Group operates an email discussion group, called OP-SF Talk. To subscribe, send the email message subscribe opsftalk Your Name to listproc@nist.gov. To contribute an item to the discussion, send email to opsftalk@nist.gov. The archive of all messages is accessible at: http://math.nist.gov/opsftalk/archive Topic #22 ------------- OP-SF NET 8.6 ------------- November 15, 2001 ~~~~~~~~~~~~~ From: OP-SF NET Editor Subject: Submitting contributions to OP-SF NET and Newsletter To contribute a news item to OP-SF NET, send email to poly@siam.org with a copy to the OP-SF Editor . Please note that submissions to the Net are automatically considered for the Newsletter, and vice versa, unless the contributor requests otherwise. Contributions to OP-SF NET 9.1 should be sent by January 1, 2002. Please send your (printed) Newsletter contributions directly to the Editors: Renato Alvarez-Nodarse Departamento de Analisis Matematico Universidad de Sevilla Apdo. Postal 1160, Sevilla E-41080 Spain fax: +34-95-455-7972 e-mail: ran@us.es Rafael J. Yanez Departamento de Matematica Aplicada Universidad de Granada E-18071 Granada, Spain phone: +34-58-242941 fax: +34-58-242862 e-mail: ryanez@ugr.es preferably by email, and in latex format. Other formats are also acceptable and can be submitted by email, regular mail or fax. The deadline for submissions to be included in the February 2002 issue is January 15, 2002, and for the June 2002 issue is May 15, 2002. o - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - o OP-SF NET is a forum of the SIAM Activity Group on Special Functions and Orthogonal Polynomials. We disseminate your contributions on anything of interest to the special functions and orthogonal polynomials community. This includes announcements of conferences, forthcoming books, new software, electronic archives, research questions, job openings. o - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - o Send submissions to: poly@siam.org Subscribe by mailing to: poly-request@siam.org or to: listproc@nist.gov Get back issues from URL: http://turing.wins.uva.nl/~thk/opsfnet/ WWW home page of this Activity Group: http://math.nist.gov/opsf/ Information on joining SIAM and this activity group: service@siam.org o - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - o The elected Officers of the Activity Group (1999-2001) are: Daniel W. Lozier, Chair Walter Van Assche, Vice Chair Charles F. Dunkl, Secretary Francisco Marcellan, Program Director The appointed officers are: Renato Alvarez-Nodarse and Rafael J. Yanez, Newsletter Editors Martin Muldoon, OP-SF NET editor Bonita Saunders, Webmaster o - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - o