o - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - o September 15, 2005 O P - S F N E T Volume 12, Number 5 ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ 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. Special Session at Annandale-on-Hudson, NY 3. Report from Santander meeting 4. Calls for Nominations - SIAM Prizes and Awards 5. Preprints in arXiv.org 6. About the Activity Group 7. Submitting contributions to OP-SF NET Calendar of Events: 2005 October 8-9: American Mathematical Society Eastern Section Meeting including Special Session on Special Functions and Orthogonal Polynomials: Theory and Applications, Bard College, Annandale-on-Hudson, New York, USA http://www.ams.org/amsmtgs/2120_program.html 2006 March 27-31: Spectral Theory and Mathematical Physics, A Conference in Honor of Barry Simon's 60th Birthday, Pasadena, California, USA 12.2, #2 http://www.math.caltech.edu/simonfest.html May 6-11: International Conference on Fourier and Complex Analysis: Classical Problems - Current View, Protaras, Cyprus 12.4, #1 July 10-14: SIAM Annual Meeting, Boston, Massachusetts, USA http://www.siam.org/meetings/an06/index.php July 10-14: Symmetries and Integrability of Difference Equations 7, Melbourne, Australia http://www.physics.utu.fi/theory/SIDE/ August 22-30 International Congress of Mathematicians, Madrid, Spain http://www.icm2006.org/ September 4-29: Short programme "The Painleve Equations and Monodromy Problems", Newton Institute. Cambridge, UK http://www.newton.cam.ac.uk/programmes/PEM/index.html 12.3, #2 (Note correction of date from earlier versions of this Calendar) September (exact date to be announced): AMADE 2006, Minsk, Belarus http://www.amade-bsu.com/ 12.3 #3 2007 July (dates to be announced): OPSFA - Orthogonal Polynomials, Special Functions and their Applications, Marseille, France Topic #1 ---------- OP-SF NET 12.5 ----------- September 15, 2005 ~~~~~~~~~~~~~~ From: Peter A. Clarkson Subject: Message from the Chair Welcome to the lastest OPSF newsletter. One of the major conferences in our field this summer was the "International Conference on Difference Equations, Special Functions and Applications", which was a joint meeting involving OPSFA, ICDEA and SIDE, held in Munich in late July. Some reports on the meeting should appear in the next newsletter. I would be grateful to hear comments about this meeting, in particular from those of you attended the meeting; please email them to me (P.A.Clarkson@kent.ac.uk). Would you like to see more of these joint meetings in the future? Any suggestions about changes in the format of such a meeting would also be welcome. For your information, the next OPSFA meeting is due to be held in July 2007 in Marseille, France; the next SIDE meeting is due to be held in July 2006 in Melbourne, Australia. I look forward to hearing from you. Topic 2 ---------- OP-SF NET 12.5 ----------- September 15, 2005 ~~~~~~~~~~~~~~ From: OP-SF NET Editor Subject: Special Session at Annandale-on-Hudson, NY The American Mathematical Society Eastern Section Meeting on October 8-9, 2005 (Saturday-Sunday) at Bard College, Annandale-on-Hudson, NY, will include a Special Session on "Special Functions and Orthogonal Polynomials: Theory and Applications" organized by Diego Dominici, SUNY at New Paltz. Here is the schedule of talks taken from http://www.ams.org/amsmtgs/2120_program_ss7.html#title Saturday 9:00 David Terhune, Pennsylvania State University, A Weight-Depth Theorem for a Class of Multiple L-values. 9:30 Alexander Rozenblyum, New York City College of Technology, q-orthogonal polynomials related to representations of the quantum group U_q(so(4)). 10:00 George E. Andrews, Pennsylvania State University, Carlitz and the General 3-Phi-2 10:30 Paul M Terwilliger, University of Wisconsin, Madison, Tridiagonal pairs of q-geometric type 2:30 Lawrence A Fialkow, SUNY New Paltz, Can a minimal degree 6 cubature rule for the disk have all points inside? 3:00 Carl F. Lorenzo, NASA Glenn Research Center, An Overview of the Fractional Exponential and Trigonometric Functions 3:30 Martin E Muldoon, York University, Continuous ranking of zeros of special functions 4:00 Daniel W. Lozier, National Institute of Standards and Technology, The DLMF Project: Lessons Learned and Future Directions 4:30 Diego Dominici, SUNY New Paltz, Nested Derivatives: A simple method for computing series expansions of inverse functions Sunday 9:00 Mizan Rahman, Carleton University, Polynomials in 2 Variables: a Limit Case of the 9-j Symbols. 9:30 Ph. Feinsilver, Southern Illinois University, Carbondale, Second quantization and recurrences 10:00 F. Alberto Grunbaum, UC Berkeley, Matrix valued orthogonal polynomials satisfying differential equations 10:30 Gestur Olafsson, Louisiana State University in Baton Rouge, Differential Recursion Relations for Laguerre Functions on Symmetric Cones 2:30 Percy Deift, Courant Institute, NYU, On the Bus Problem in Cuernevaca, Mexico 3:00 Alexander Varchenko, University of North Carolina at Chapel Hill, Multiple Orthogonal Polynomials and a Counterexample to Gaudin Bethe Ansatz Conjecture 3:30 Audrey A. Terras, University of California at San Diego Fourier Expansions of Complex Valued Modular Forms on Finite Upper Half Planes 4:00 Brian W Curtin, University of South Florida, Modular Leonard triples of Bannai-Ito type 4:30 Robert P. Boyer, Drexel University, Asymptotic Zero Distributions for Polynomials from Combinatorics. Topic #3 ---------- OP-SF NET 12.5 ----------- September 15, 2005 ~~~~~~~~~~~~~~ From: Tom Koornwinder Subject: Report from Santander meeting Report on the conference "Special functions: Asymptotic Analysis and Computation", in honor of Nico Temme's 65th Birthday, Santander, Spain, 4-6 July 2005 This was a mathematically interesting, and also a most enjoyable conference. Nico Temme's achievements in special functions and asymptotics are well-known: consider, for instance his many papers, his book "Special Functions, An Introduction to the Classical Functions of Mathematical Physics" (Wiley 1996), and his heavy involvement in the preparation of the NIST Digital Library of Mathematical Functions. Because Nico has reached the age of 65, he has officially retired from the CWI (Centre for Mathematics and Computer Science) in Amsterdam, where he has spent his whole professional life. The CWI had already organized a nice farewell symposium "From here to infinity" and farewell party for Nico on May 27, 2005. His Spanish collaborators and coauthors Amparo Gil and Javier Segura (Santander) and Jose Luis Lopez (Pamplona), together with Nico's former student Adri Olde Daalhuis (Edinburgh), had the good idea to organize an international three-day conference in his honor in Spain. The SIAM OPSF Activity Group acted as a co-sponsor of the conference. The title "Special functions: Asymptotic Analysis and Computation" reflected Nico's main interests in mathematics and 17 invited forty-minute speakers represented Nico's major scientific contacts. Additionally, there were 13 contributed 20-minute talks and a few contributions to the poster session. Altogether there were 56 registered participants. Let me mention here the invited speakers, with some grouping in categories: - Asymptotics: Kathy Driver, Wolfgang Gawronski, Carla Giordano, Chris Howls, David Kaminski, Adri Olde Daalhuis, Richard Paris, Roderick Wong - Applications in physics and chemistry: Jonathan Connor, Jesus Dehesa, Francesco Mainardi - Other topics: - DLMF project: Dan Lozier - q- and multivariable special functions: Tom Koornwinder - orthogonal polynomials: Paco Marcellan - Painleve equations: Peter Clarkson - Riemann-Hilbert problems: Arno Kuijlaars - Connection problems: Javier Sesma Asymptotics in connection with special functions was evidently an important focus of this conference. The state of the art could be heard from leading researchers in this area. Dan Lozier had good news about the DLMF project. It is approaching completion. Dan carried a draft of all chapters with him for inspection by anyone interested. The location of the conference was splendid. The lecture were held in a building at Santander's beautiful waterfront with nice beaches overlooking a small bay, and the Atlantic Ocean in the distance. But temperatures were only around 20 C (normal on Spain's northern coast in summer), there was some rain, and the sea was very cold: you needed a wetsuit for swimming. The social program included a reception in Santander's city hall and an excursion to Santillana del Mar, where we were given a guided tour of the old church and historic houses. The conference dinner was also held here. There were some after-dinner speeches highlighting episodes from Nico's scientific life. The final address at the conference was by Nico himself. He recalled some experiences during his career and lessons learned from them. He thanked the speakers and organizers and made it clear that his official retirement would not mean a retirement from research and publication. This conference was a satellite meeting of the FoCM conference which was held in Santander during June 30 - July 9. During the first three afternoons of this FoCM conference a workshop was held on "Special Functions and Orthogonal Polynomials", organized by Guillermo Lopez and Ed Saff. Also during this workshop there were many interesting lectures. As it turned out, there was a special focus on Riemann-Hilbert problems in connection with special functions. [The conference web site http://www.sf05.unican.es/ contains some photos and announces that the Proceedings will appear as a special issue of Journal of Computational and Applied Mathematics. - Ed.] Topic #4 ---------- OP-SF NET 12.5 ----------- September 15, 2005 ~~~~~~~~~~~~~~ From: OP-SF NET Editor Subject: Calls for Nominations - SIAM Prizes and Awards SIAM recently issued calls for nominations for several awards. (1) SIAM Activity Group on Analysis of PDE Prize The SIAM Activity Group on Analysis of Partial Differential Equations (SIAG/APDE) Prize, established in 2005, is awarded to the author(s) of the most outstanding paper, as determined by the prize committee, on a topic in Partial Differential Equations published in English in a peer-reviewed journal within the four calendar years preceding the year of the award. Nominations, including bibliographic citation and a justification, should be submitted by December 31, 2005. For further information, see: http://www.siam.org/prizes/nominations/nom_siagapde.php (2) The Richard C. DiPrima Prize The Richard C. DiPrima Prize is awarded every two years to a young scientist, based on an outstanding doctoral dissertation in applied mathematics. Nominations, along with a copy of the dissertation, should be sent by October 15, 2005. For further information, see: http://www.siam.org/prizes/nominations/nom_diprima.php (3) The Julian Cole Lectureship The Julian Cole Lectureship is awarded every four years to a member of the scientific or engineering community for an outstanding contribution to the mathematical characterization and solution of a challenging problem in the physical or biological sciences, or in engineering, or for the development of mathematical methods for the solution of such problems. For further information, see: http://www.siam.org/prizes/nominations/nom_cole.php (4) SIAM Activity Group on Linear Algebra Prize The SIAM Activity Group on Linear Algebra (SIAG/LA) Prize is awarded to the author(s) of the most outstanding paper on a topic in applicable linear algebra published in a peer-reviewed journal in the three calendar years preceding the year of the award. Nominations, including a copy of the nominated paper, should be sent by January 15, 2006. For further information, see: http://www.siam.org/prizes/nominations/nom_laprize.php (5) W. T. and Idalia Reid Prize The award will be given for research in, or other contributions to, the broadly defined areas of differential equations and control theory. The prize may be given either for a single notable achievement or for a collection of such achievements. Committee Chair H. T. Banks wishes to stress the breadth of the eligible fields. For further information, see http://www.siam.org/prizes/nominations/nom_reid.php Topic #5 ---------- OP-SF NET 12.5 ----------- September 15, 2005 ~~~~~~~~~~~~~~ From: OP-SF NET Editor Subject: Preprints in arXiv.org 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 arXiv.org. 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 http://arxiv.org/abs/math.CA/0507108 Title: A Direct Proof of Landen's Transformation Authors: Mark B. Villarino Comments: 8 pages Subj-class: Classical Analysis and ODEs; General Mathematics MSC-class: 33C05, 33C75 http://arxiv.org/abs/math.RT/0507111 Title: A special value of the spectral zeta function of the non-commutative harmonic oscillators Authors: Hiroyuki Ochiai Comments: 5 pages, no figures Subj-class: Representation Theory; Number Theory MSC-class: 11M36; 33C20 http://arxiv.org/abs/math.CO/0507225 Title: q-Catalan numbers and q-Narayana polynomials Authors: Johann Cigler Comments: 10 pages Subj-class: Combinatorics MSC-class: 05A15;05A30 http://arxiv.org/abs/math.CO/0507268 Title: The Fermat cubic, elliptic functions, continued fractions, and a combinatorial excursion Authors: Eric van Fossen Conrad, Philippe Flajolet Comments: 44 pages; submitted to "Seminaire Lotharingien de Combinatoire" (journal), July 2005 Subj-class: Combinatorics; Probability MSC-class: 05A15; 30B70; 33C75; 60C05 http://arxiv.org/abs/math.AG/0507436 Title: Hypergeometric series and Hodge cycles of four dimensional cubic hypersurfaces Authors: Hossein Movasati, Stefen Reiter Comments: 18 pages Subj-class: Algebraic Geometry; Number Theory MSC-class: 14C30 http://arxiv.org/abs/math.NT/0507450 Title: Low lying zeros of L-functions with orthogonal symmetry Authors: C.P. Hughes, Steven J. Miller Comments: 31 pages Subj-class: Number Theory; Mathematical Physics MSC-class: 11M26 (primary), 11G05, 11G40, 11M26 (secondary) http://arxiv.org/abs/math.CV/0507534 Title: Uniformization by Lauricella functions--an overview of the theory of Deligne-Mostow Authors: Eduard Looijenga Comments: 28 pages, based on lectures given at the CIMPA summer school, Istanbul (2005) Subj-class: Complex Variables; Algebraic Geometry MSC-class: 33C65; 22E40; 32G20 http://arxiv.org/abs/math.CA/0507580 Title: A family of Sobolev Orthogonal Polynomials on the Unit Ball Authors: Yuan Xu Subj-class: Classical Analysis and ODEs MSC-class: 42A38, 42B08, 42B15 http://arxiv.org/abs/math.CA/0508039 Title: Discrete orthogonal polynomials and difference equations of several variables Authors: Plamen Iliev, Yuan Xu Comments: 31 pages Subj-class: Classical Analysis and ODEs MSC-class: 42C05; 33C45 http://arxiv.org/abs/math.NT/0508042 Title: New Vacca-Type Rational Series for Euler's Constant and Its "Alternating" Analog ln(4/Pi) Authors: Jonathan Sondow Comments: 6 pages, submitted for publication, presented at the XXIVth Journe\'es Arithme\'tiques in Marseilles Subj-class: Number Theory; Classical Analysis and ODEs MSC-class: Primary 11Y60, Secondary 40A99 http://arxiv.org/abs/math.QA/0508058 Title: Painleve VI, Rigid Tops and Reflection Equation Authors: A. Levin, M. Olshanetsky, A. Zotov Comments: 32 pages Subj-class: Quantum Algebra; Mathematical Physics; Exactly Solvable and Integrable Systems MSC-class: 81R50; 16W30; 70E40 http://arxiv.org/abs/math.CA/0508093 Title: The Heun equation and the Calogero-Moser-Sutherland system V: generalized Darboux transformations Authors: Kouichi Takemura Comments: 24 pages Subj-class: Classical Analysis and ODEs; Quantum Algebra; Mathematical Physics; Exactly Solvable and Integrable Systems MSC-class: 33E10,34M35,82B23 http://arxiv.org/abs/math.SG/0508113 Title: CMV: the unitary analogue of Jacobi matrices Authors: R. Killip, I. Nenciu Subj-class: Symplectic Geometry; Mathematical Physics MSC-class: 70H06 http://arxiv.org/abs/math.CA/0508117 Title: Szego polynomials: a view from the Riemann-Hilbert window Authors: A. Martinez-Finkelshtein Comments: 20 pages, 6 figures Subj-class: Classical Analysis and ODEs; Complex Variables MSC-class: 42C05 http://arxiv.org/abs/math.CA/0508157 Title: New Exact Solutions of Differential Equations Derived by Fractional Calculus Authors: F. S. Felber Comments: 4 pages, 3 figures, to be published in Applied Mathematics and Computation Subj-class: Classical Analysis and ODEs; Numerical Analysis MSC-class: 34M25; 34M10; 34M05; 34M45 http://arxiv.org/abs/math.CA/0508224 Title: On Extensions of a Theorem of Baxter Authors: J. S. Geronimo, A. Martinez-Finkelshtein Comments: 11 pages Subj-class: Classical Analysis and ODEs http://arxiv.org/abs/math.CA/0508264 Title: Asymptotic analysis of the Askey-scheme II: from Charlier to Hermite Authors: Diego Dominici Comments: 10 pages Subj-class: Classical Analysis and ODEs MSC-class: 33C45 (Primary) 34E05, 33C10 (Secondary) http://arxiv.org/abs/math.FA/0508544 Title: Asymptotics of orthogonal polynomials beyond the scope of Szego's theorem Authors: F. Peherstorfer, A. Volberg, P. Yuditskii Subj-class: Functional Analysis; Spectral Theory MSC-class: 42B20, 42C15 http://arxiv.org/abs/math.CA/0508581 Title: Localized polynomial frames on the interval with Jacobi weights Authors: Pencho Petrushev, Yuan Xu Comments: J. Four. Anal. Appl. (to appear) Subj-class: Classical Analysis and ODEs MSC-class: 42A38, 42B08, 42B15 http://arxiv.org/abs/astro-ph/0508514 Title: Fast spin +-2 spherical harmonics transforms Authors: Y. Wiaux (1), L. Jacques (2), P. Vandergheynst (1) ((1) Swiss Federal Institute of Technology, Lausanne, Switzerland, (2) Universite catholique de Louvain, Louvain-la-Neuve, Belgium) Comments: 9 pages, 0 figure, Revtex4 (emulateapj) Subj-class: Astrophysics; Mathematical Physics http://arxiv.org/abs/math-ph/0508008 Title: - XSummer - Transcendental Functions and Symbolic Summation in FORM Authors: S. Moch, P. Uwer Comments: 21 pages, 1 figure, Latex Subj-class: Mathematical Physics http://arxiv.org/abs/math-ph/0508032 Title: Spectra of observables in the q-oscillator and q-analogue of the Fourier transform Authors: Anatoliy Klimyk Comments: 18 pages Subj-class: Mathematical Physics; Spectral Theory MSC-class: 81Q10; 81S05; 41B15 http://arxiv.org/abs/math-ph/0508062 Title: Multi-critical unitary random matrix ensembles and the general Painleve II equation Authors: T. Claeys, A.B.J. Kuijlaars, M. Vanlessen Comments: 37 pages, 4 figures Subj-class: Mathematical Physics; Complex Variables MSC-class: 15A52; 31A25; 35Q15; 82B23 http://arxiv.org/abs/math-ph/0508066 Title: Elliptic Faulhaber polynomials and Lam\'e densities of states Authors: M.-P. Grosset, A.P. Veselov Comments: 22 pages, 1 figure Subj-class: Mathematical Physics; General Mathematics MSC-class: 11B83, 33E05 Topic #6 ---------- OP-SF NET 12.5 ----------- September 15, 2005 ~~~~~~~~~~~~~~ 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://staff.science.uva.nl/~thk/opsfnet http://www.math.ohio-state.edu/JAT/DATA/OPSFNET/opsfnet.html http://math.nist.gov/opsfnet/archive For several years the Activity Group sponsored a printed Newsletter, most recently edited by Rafael Yanez. Back issues are accessible at: http://www.mathematik.uni-kassel.de/~koepf/siam.html Given the widespread availability of email and the Internet, the need for the printed Newsletter has decreased. Discussions are underway concerning whether an annual printed Newsletter or Annual Report should be instituted. 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 #7 ---------- OP-SF NET 12.5 ----------- September 15, 2005 ~~~~~~~~~~~~~~ From: OP-SF NET Editor Subject: Submitting contributions to OP-SF NET To contribute a news item to OP-SF NET, send email to poly@siam.org with a copy to the OP-SF Editor . Contributions to OP-SF NET 12.6 should be sent by November 1, 2005. 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 Back issues can be obtained at the WWW addresses: http://staff.science.uva.nl/~thk/opsfnet http://www.math.ohio-state.edu/JAT/DATA/OPSFNET/opsfnet.html http://math.nist.gov/opsfnet/archive 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 (2005-2007) are: Peter A. Clarkson, Chair Daniel W. Lozier, Vice Chair Javier Segura, Secretary Peter A. McCoy, Program Director The appointed officers are: Martin Muldoon, OP-SF NET editor Bonita Saunders, Webmaster o - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - o o - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - o September 15, 2005 O P - S F N E T Volume 12, Number 5 ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ 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. Special Session at Annandale-on-Hudson, NY 3. Report from Santander meeting 4. Calls for Nominations - SIAM Prizes and Awards 5. Preprints in arXiv.org 6. About the Activity Group 7. Submitting contributions to OP-SF NET Calendar of Events: 2005 October 8-9: American Mathematical Society Eastern Section Meeting including Special Session on Special Functions and Orthogonal Polynomials: Theory and Applications, Bard College, Annandale-on-Hudson, New York, USA http://www.ams.org/amsmtgs/2120_program.html 2006 March 27-31: Spectral Theory and Mathematical Physics, A Conference in Honor of Barry Simon's 60th Birthday, Pasadena, California, USA 12.2, #2 http://www.math.caltech.edu/simonfest.html May 6-11: International Conference on Fourier and Complex Analysis: Classical Problems - Current View, Protaras, Cyprus 12.4, #1 July 10-14: SIAM Annual Meeting, Boston, Massachusetts, USA http://www.siam.org/meetings/an06/index.php July 10-14: Symmetries and Integrability of Difference Equations 7, Melbourne, Australia http://www.physics.utu.fi/theory/SIDE/ August 22-30 International Congress of Mathematicians, Madrid, Spain http://www.icm2006.org/ September 4-29: Short programme "The Painleve Equations and Monodromy Problems", Newton Institute. Cambridge, UK http://www.newton.cam.ac.uk/programmes/PEM/index.html 12.3, #2 (Note correction of date from earlier versions of this Calendar) September (exact date to be announced): AMADE 2006, Minsk, Belarus http://www.amade-bsu.com/ 12.3 #3 2007 July (dates to be announced): OPSFA - Orthogonal Polynomials, Special Functions and their Applications, Marseille, France Topic #1 ---------- OP-SF NET 12.5 ----------- September 15, 2005 ~~~~~~~~~~~~~~ From: Peter A. Clarkson Subject: Message from the Chair Welcome to the lastest OPSF newsletter. One of the major conferences in our field this summer was the "International Conference on Difference Equations, Special Functions and Applications", which was a joint meeting involving OPSFA, ICDEA and SIDE, held in Munich in late July. Some reports on the meeting should appear in the next newsletter. I would be grateful to hear comments about this meeting, in particular from those of you attended the meeting; please email them to me (P.A.Clarkson@kent.ac.uk). Would you like to see more of these joint meetings in the future? Any suggestions about changes in the format of such a meeting would also be welcome. For your information, the next OPSFA meeting is due to be held in July 2007 in Marseille, France; the next SIDE meeting is due to be held in July 2006 in Melbourne, Australia. I look forward to hearing from you. Topic 2 ---------- OP-SF NET 12.5 ----------- September 15, 2005 ~~~~~~~~~~~~~~ From: OP-SF NET Editor Subject: Special Session at Annandale-on-Hudson, NY The American Mathematical Society Eastern Section Meeting on October 8-9, 2005 (Saturday-Sunday) at Bard College, Annandale-on-Hudson, NY, will include a Special Session on "Special Functions and Orthogonal Polynomials: Theory and Applications" organized by Diego Dominici, SUNY at New Paltz. Here is the schedule of talks taken from http://www.ams.org/amsmtgs/2120_program_ss7.html#title Saturday 9:00 David Terhune, Pennsylvania State University, A Weight-Depth Theorem for a Class of Multiple L-values. 9:30 Alexander Rozenblyum, New York City College of Technology, q-orthogonal polynomials related to representations of the quantum group U_q(so(4)). 10:00 George E. Andrews, Pennsylvania State University, Carlitz and the General 3-Phi-2 10:30 Paul M Terwilliger, University of Wisconsin, Madison, Tridiagonal pairs of q-geometric type 2:30 Lawrence A Fialkow, SUNY New Paltz, Can a minimal degree 6 cubature rule for the disk have all points inside? 3:00 Carl F. Lorenzo, NASA Glenn Research Center, An Overview of the Fractional Exponential and Trigonometric Functions 3:30 Martin E Muldoon, York University, Continuous ranking of zeros of special functions 4:00 Daniel W. Lozier, National Institute of Standards and Technology, The DLMF Project: Lessons Learned and Future Directions 4:30 Diego Dominici, SUNY New Paltz, Nested Derivatives: A simple method for computing series expansions of inverse functions Sunday 9:00 Mizan Rahman, Carleton University, Polynomials in 2 Variables: a Limit Case of the 9-j Symbols. 9:30 Ph. Feinsilver, Southern Illinois University, Carbondale, Second quantization and recurrences 10:00 F. Alberto Grunbaum, UC Berkeley, Matrix valued orthogonal polynomials satisfying differential equations 10:30 Gestur Olafsson, Louisiana State University in Baton Rouge, Differential Recursion Relations for Laguerre Functions on Symmetric Cones 2:30 Percy Deift, Courant Institute, NYU, On the Bus Problem in Cuernevaca, Mexico 3:00 Alexander Varchenko, University of North Carolina at Chapel Hill, Multiple Orthogonal Polynomials and a Counterexample to Gaudin Bethe Ansatz Conjecture 3:30 Audrey A. Terras, University of California at San Diego Fourier Expansions of Complex Valued Modular Forms on Finite Upper Half Planes 4:00 Brian W Curtin, University of South Florida, Modular Leonard triples of Bannai-Ito type 4:30 Robert P. Boyer, Drexel University, Asymptotic Zero Distributions for Polynomials from Combinatorics. Topic #3 ---------- OP-SF NET 12.5 ----------- September 15, 2005 ~~~~~~~~~~~~~~ From: Tom Koornwinder Subject: Report from Santander meeting Report on the conference "Special functions: Asymptotic Analysis and Computation", in honor of Nico Temme's 65th Birthday, Santander, Spain, 4-6 July 2005 This was a mathematically interesting, and also a most enjoyable conference. Nico Temme's achievements in special functions and asymptotics are well-known: consider, for instance his many papers, his book "Special Functions, An Introduction to the Classical Functions of Mathematical Physics" (Wiley 1996), and his heavy involvement in the preparation of the NIST Digital Library of Mathematical Functions. Because Nico has reached the age of 65, he has officially retired from the CWI (Centre for Mathematics and Computer Science) in Amsterdam, where he has spent his whole professional life. The CWI had already organized a nice farewell symposium "From here to infinity" and farewell party for Nico on May 27, 2005. His Spanish collaborators and coauthors Amparo Gil and Javier Segura (Santander) and Jose Luis Lopez (Pamplona), together with Nico's former student Adri Olde Daalhuis (Edinburgh), had the good idea to organize an international three-day conference in his honor in Spain. The SIAM OPSF Activity Group acted as a co-sponsor of the conference. The title "Special functions: Asymptotic Analysis and Computation" reflected Nico's main interests in mathematics and 17 invited forty-minute speakers represented Nico's major scientific contacts. Additionally, there were 13 contributed 20-minute talks and a few contributions to the poster session. Altogether there were 56 registered participants. Let me mention here the invited speakers, with some grouping in categories: - Asymptotics: Kathy Driver, Wolfgang Gawronski, Carla Giordano, Chris Howls, David Kaminski, Adri Olde Daalhuis, Richard Paris, Roderick Wong - Applications in physics and chemistry: Jonathan Connor, Jesus Dehesa, Francesco Mainardi - Other topics: - DLMF project: Dan Lozier - q- and multivariable special functions: Tom Koornwinder - orthogonal polynomials: Paco Marcellan - Painleve equations: Peter Clarkson - Riemann-Hilbert problems: Arno Kuijlaars - Connection problems: Javier Sesma Asymptotics in connection with special functions was evidently an important focus of this conference. The state of the art could be heard from leading researchers in this area. Dan Lozier had good news about the DLMF project. It is approaching completion. Dan carried a draft of all chapters with him for inspection by anyone interested. The location of the conference was splendid. The lecture were held in a building at Santander's beautiful waterfront with nice beaches overlooking a small bay, and the Atlantic Ocean in the distance. But temperatures were only around 20 C (normal on Spain's northern coast in summer), there was some rain, and the sea was very cold: you needed a wetsuit for swimming. The social program included a reception in Santander's city hall and an excursion to Santillana del Mar, where we were given a guided tour of the old church and historic houses. The conference dinner was also held here. There were some after-dinner speeches highlighting episodes from Nico's scientific life. The final address at the conference was by Nico himself. He recalled some experiences during his career and lessons learned from them. He thanked the speakers and organizers and made it clear that his official retirement would not mean a retirement from research and publication. This conference was a satellite meeting of the FoCM conference which was held in Santander during June 30 - July 9. During the first three afternoons of this FoCM conference a workshop was held on "Special Functions and Orthogonal Polynomials", organized by Guillermo Lopez and Ed Saff. Also during this workshop there were many interesting lectures. As it turned out, there was a special focus on Riemann-Hilbert problems in connection with special functions. [The conference web site http://www.sf05.unican.es/ contains some photos and announces that the Proceedings will appear as a special issue of Journal of Computational and Applied Mathematics. - Ed.] Topic #4 ---------- OP-SF NET 12.5 ----------- September 15, 2005 ~~~~~~~~~~~~~~ From: OP-SF NET Editor Subject: Calls for Nominations - SIAM Prizes and Awards SIAM recently issued calls for nominations for several awards. (1) SIAM Activity Group on Analysis of PDE Prize The SIAM Activity Group on Analysis of Partial Differential Equations (SIAG/APDE) Prize, established in 2005, is awarded to the author(s) of the most outstanding paper, as determined by the prize committee, on a topic in Partial Differential Equations published in English in a peer-reviewed journal within the four calendar years preceding the year of the award. Nominations, including bibliographic citation and a justification, should be submitted by December 31, 2005. For further information, see: http://www.siam.org/prizes/nominations/nom_siagapde.php (2) The Richard C. DiPrima Prize The Richard C. DiPrima Prize is awarded every two years to a young scientist, based on an outstanding doctoral dissertation in applied mathematics. Nominations, along with a copy of the dissertation, should be sent by October 15, 2005. For further information, see: http://www.siam.org/prizes/nominations/nom_diprima.php (3) The Julian Cole Lectureship The Julian Cole Lectureship is awarded every four years to a member of the scientific or engineering community for an outstanding contribution to the mathematical characterization and solution of a challenging problem in the physical or biological sciences, or in engineering, or for the development of mathematical methods for the solution of such problems. For further information, see: http://www.siam.org/prizes/nominations/nom_cole.php (4) SIAM Activity Group on Linear Algebra Prize The SIAM Activity Group on Linear Algebra (SIAG/LA) Prize is awarded to the author(s) of the most outstanding paper on a topic in applicable linear algebra published in a peer-reviewed journal in the three calendar years preceding the year of the award. Nominations, including a copy of the nominated paper, should be sent by January 15, 2006. For further information, see: http://www.siam.org/prizes/nominations/nom_laprize.php (5) W. T. and Idalia Reid Prize The award will be given for research in, or other contributions to, the broadly defined areas of differential equations and control theory. The prize may be given either for a single notable achievement or for a collection of such achievements. Committee Chair H. T. Banks wishes to stress the breadth of the eligible fields. For further information, see http://www.siam.org/prizes/nominations/nom_reid.php Topic #5 ---------- OP-SF NET 12.5 ----------- September 15, 2005 ~~~~~~~~~~~~~~ From: OP-SF NET Editor Subject: Preprints in arXiv.org 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 arXiv.org. 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 http://arxiv.org/abs/math.CA/0507108 Title: A Direct Proof of Landen's Transformation Authors: Mark B. Villarino Comments: 8 pages Subj-class: Classical Analysis and ODEs; General Mathematics MSC-class: 33C05, 33C75 http://arxiv.org/abs/math.RT/0507111 Title: A special value of the spectral zeta function of the non-commutative harmonic oscillators Authors: Hiroyuki Ochiai Comments: 5 pages, no figures Subj-class: Representation Theory; Number Theory MSC-class: 11M36; 33C20 http://arxiv.org/abs/math.CO/0507225 Title: q-Catalan numbers and q-Narayana polynomials Authors: Johann Cigler Comments: 10 pages Subj-class: Combinatorics MSC-class: 05A15;05A30 http://arxiv.org/abs/math.CO/0507268 Title: The Fermat cubic, elliptic functions, continued fractions, and a combinatorial excursion Authors: Eric van Fossen Conrad, Philippe Flajolet Comments: 44 pages; submitted to "Seminaire Lotharingien de Combinatoire" (journal), July 2005 Subj-class: Combinatorics; Probability MSC-class: 05A15; 30B70; 33C75; 60C05 http://arxiv.org/abs/math.AG/0507436 Title: Hypergeometric series and Hodge cycles of four dimensional cubic hypersurfaces Authors: Hossein Movasati, Stefen Reiter Comments: 18 pages Subj-class: Algebraic Geometry; Number Theory MSC-class: 14C30 http://arxiv.org/abs/math.NT/0507450 Title: Low lying zeros of L-functions with orthogonal symmetry Authors: C.P. Hughes, Steven J. Miller Comments: 31 pages Subj-class: Number Theory; Mathematical Physics MSC-class: 11M26 (primary), 11G05, 11G40, 11M26 (secondary) http://arxiv.org/abs/math.CV/0507534 Title: Uniformization by Lauricella functions--an overview of the theory of Deligne-Mostow Authors: Eduard Looijenga Comments: 28 pages, based on lectures given at the CIMPA summer school, Istanbul (2005) Subj-class: Complex Variables; Algebraic Geometry MSC-class: 33C65; 22E40; 32G20 http://arxiv.org/abs/math.CA/0507580 Title: A family of Sobolev Orthogonal Polynomials on the Unit Ball Authors: Yuan Xu Subj-class: Classical Analysis and ODEs MSC-class: 42A38, 42B08, 42B15 http://arxiv.org/abs/math.CA/0508039 Title: Discrete orthogonal polynomials and difference equations of several variables Authors: Plamen Iliev, Yuan Xu Comments: 31 pages Subj-class: Classical Analysis and ODEs MSC-class: 42C05; 33C45 http://arxiv.org/abs/math.NT/0508042 Title: New Vacca-Type Rational Series for Euler's Constant and Its "Alternating" Analog ln(4/Pi) Authors: Jonathan Sondow Comments: 6 pages, submitted for publication, presented at the XXIVth Journe\'es Arithme\'tiques in Marseilles Subj-class: Number Theory; Classical Analysis and ODEs MSC-class: Primary 11Y60, Secondary 40A99 http://arxiv.org/abs/math.QA/0508058 Title: Painleve VI, Rigid Tops and Reflection Equation Authors: A. Levin, M. Olshanetsky, A. Zotov Comments: 32 pages Subj-class: Quantum Algebra; Mathematical Physics; Exactly Solvable and Integrable Systems MSC-class: 81R50; 16W30; 70E40 http://arxiv.org/abs/math.CA/0508093 Title: The Heun equation and the Calogero-Moser-Sutherland system V: generalized Darboux transformations Authors: Kouichi Takemura Comments: 24 pages Subj-class: Classical Analysis and ODEs; Quantum Algebra; Mathematical Physics; Exactly Solvable and Integrable Systems MSC-class: 33E10,34M35,82B23 http://arxiv.org/abs/math.SG/0508113 Title: CMV: the unitary analogue of Jacobi matrices Authors: R. Killip, I. Nenciu Subj-class: Symplectic Geometry; Mathematical Physics MSC-class: 70H06 http://arxiv.org/abs/math.CA/0508117 Title: Szego polynomials: a view from the Riemann-Hilbert window Authors: A. Martinez-Finkelshtein Comments: 20 pages, 6 figures Subj-class: Classical Analysis and ODEs; Complex Variables MSC-class: 42C05 http://arxiv.org/abs/math.CA/0508157 Title: New Exact Solutions of Differential Equations Derived by Fractional Calculus Authors: F. S. Felber Comments: 4 pages, 3 figures, to be published in Applied Mathematics and Computation Subj-class: Classical Analysis and ODEs; Numerical Analysis MSC-class: 34M25; 34M10; 34M05; 34M45 http://arxiv.org/abs/math.CA/0508224 Title: On Extensions of a Theorem of Baxter Authors: J. S. Geronimo, A. Martinez-Finkelshtein Comments: 11 pages Subj-class: Classical Analysis and ODEs http://arxiv.org/abs/math.CA/0508264 Title: Asymptotic analysis of the Askey-scheme II: from Charlier to Hermite Authors: Diego Dominici Comments: 10 pages Subj-class: Classical Analysis and ODEs MSC-class: 33C45 (Primary) 34E05, 33C10 (Secondary) http://arxiv.org/abs/math.FA/0508544 Title: Asymptotics of orthogonal polynomials beyond the scope of Szego's theorem Authors: F. Peherstorfer, A. Volberg, P. Yuditskii Subj-class: Functional Analysis; Spectral Theory MSC-class: 42B20, 42C15 http://arxiv.org/abs/math.CA/0508581 Title: Localized polynomial frames on the interval with Jacobi weights Authors: Pencho Petrushev, Yuan Xu Comments: J. Four. Anal. Appl. (to appear) Subj-class: Classical Analysis and ODEs MSC-class: 42A38, 42B08, 42B15 http://arxiv.org/abs/astro-ph/0508514 Title: Fast spin +-2 spherical harmonics transforms Authors: Y. Wiaux (1), L. Jacques (2), P. Vandergheynst (1) ((1) Swiss Federal Institute of Technology, Lausanne, Switzerland, (2) Universite catholique de Louvain, Louvain-la-Neuve, Belgium) Comments: 9 pages, 0 figure, Revtex4 (emulateapj) Subj-class: Astrophysics; Mathematical Physics http://arxiv.org/abs/math-ph/0508008 Title: - XSummer - Transcendental Functions and Symbolic Summation in FORM Authors: S. Moch, P. Uwer Comments: 21 pages, 1 figure, Latex Subj-class: Mathematical Physics http://arxiv.org/abs/math-ph/0508032 Title: Spectra of observables in the q-oscillator and q-analogue of the Fourier transform Authors: Anatoliy Klimyk Comments: 18 pages Subj-class: Mathematical Physics; Spectral Theory MSC-class: 81Q10; 81S05; 41B15 http://arxiv.org/abs/math-ph/0508062 Title: Multi-critical unitary random matrix ensembles and the general Painleve II equation Authors: T. Claeys, A.B.J. Kuijlaars, M. Vanlessen Comments: 37 pages, 4 figures Subj-class: Mathematical Physics; Complex Variables MSC-class: 15A52; 31A25; 35Q15; 82B23 http://arxiv.org/abs/math-ph/0508066 Title: Elliptic Faulhaber polynomials and Lam\'e densities of states Authors: M.-P. Grosset, A.P. Veselov Comments: 22 pages, 1 figure Subj-class: Mathematical Physics; General Mathematics MSC-class: 11B83, 33E05 Topic #6 ---------- OP-SF NET 12.5 ----------- September 15, 2005 ~~~~~~~~~~~~~~ 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. 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