o - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - o January 15, 2002 O P - S F N E T Volume 9, Number 1 ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ 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. Delay in distributing OP-SF NET 8.6 2. Reorganizing OP-SF NET, etc. 3. Election Results 4. 9th International Krawtchouk Conference 5. van Moerbeke to give LMS lectures 6. Laredo Summer School on Approximation Methods in Systems Theory 7. Patras Conference on Differential and Difference Equations 8. History of Approximation Theory Homepage 9. Ramanujan: Essays and Surveys 10. q-Series Conference Proceedings 11. Wolfram's "Mathematical Functions" 12. Preprints in xxx Archive 13. About the Activity Group 14. 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 4-6: Varanasi Conference on Special Functions 8.6 #2 May 11-18: Conference on Operator Theory in Bedlewo, Poland 8.6 #3 May 16-18: 9th International Krawtchouk Conference Kyiv (Kiev), Ukraine 9.1 #4 June 27 - July 2: van Moerbeke on Random Matrices, etc., Leeds, UK 9.1 #5 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, 9.1 #7 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 September 2-6: Summer School on Approximation Methods in Systems Theory, Laredo, Spain. 9.1 #6 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 9.1 ------------- January 15, 2002 ~~~~~~~~~~~~~ From: OP-SF NET Editor Subject: Delay in distributing OP-SF NET 8.6 I sent the most recent issue of OP-SF NET to SIAM on November 16, 2001. It is normally distributed to the membership within a couple of days, after SIAM staff have checked it over. In the case of the November issue, they wanted to look further at the background of the announcement of the decision of the Activity Group not to mount a minisymposium at SIAM 50 (see Topic #1 in OP-SF NET 8.6). This led to a delay of several weeks, for which I received an apology from SIAM Director Jim Crowley. Topic #2 ------------- OP-SF NET 9.1 ------------- January 15, 2002 ~~~~~~~~~~~~~ From: Dan Lozier Subject: Reorganizing OP-SF NET, etc. Your activity group officers are considering a way of improving communications among the membership. Our main forms of communication are OP-SF NET, OP-SF WEB and the printed newsletter. Until now each has been the responsibility of one or two individuals who are appointed by the officers to serve as editors and Webmaster. Because each type of communication provides much the same information, just in different formats, the appointed individuals have worked closely with each other. Our idea is to formalize this spirit of cooperation by abandoning the individual appointments and establishing instead a Communications Committee. The committee will gather and disseminate useful information just as before. It could consist of any reasonable number of people. Some might be responsible for specific tasks, such as preparing the meetings calendar, arranging for book reviews, or managing the problems section. Others may act as advisers, and still others might be involved primarily in production aspects. Details are still being worked out and I will give a progress report in the next OP-SF NET. If you have comments or suggestions, or if you are interested in serving in some capacity, please let me know. Dan Lozier Topic #3 ------------- OP-SF NET 9.1 ------------- January 15, 2002 ~~~~~~~~~~~~~ From: OP-SF NET Editor Subject: Election Results Recently SIAM announced the results of the election for the new officers of our activity group for the three-year term ending December 31, 2004. The results are as follows: Chair Dan Lozier Vice Chair Walter Van Assche Program Director Paco Marcellan Secretary Peter Clarkson Welcome back to Dan, Walter and Paco, and to Peter, "Welcome aboard." The activity group is in good hands for the next three years. Many thanks to Charles Dunkl for his activities as an officer since the activity group's creation, first as Chair, later as Secretary. In fact, Charles Dunkl is the founding father of our SIAG and we owe a lot to him. Topic #4 ------------- OP-SF NET 9.1 ------------- January 15, 2002 ~~~~~~~~~~~~~ From: Vadim Zelenkov Subject: 9th International Krawtchouk Conference The 9th International Scientific Krawtchouk (Kravchuk) Conference will take place on May 16-18, 2002 in National Technical University of Ukraine (KPI, Kiev) Sections Differential and Integral Equations, their Application Algebra, Geometry. Mathematical and Numerical Analysis Probability Theory and Mathematical Statistics History and Technique of Mathematical Teaching Abstract (1 page) to be submitted by March 1, 2002 to: Prof. Nina Virchenko, M. Kravchuk Conference Phys.-Math. Faculty, National Technical University of Ukraine (KPI) # 37, Peremogy Prospect, corpus # 7, room # 437 Kyiv 03056, Ukraine Phone: +380 44 4411441 Email: kr_conference@yahoo.com See details at Krawtchouk Polynomials Home Page: http://zelenkov.isir.minsk.by/orthpol/ or http://www.geocities.com/orthpol/ Topic #5 ------------- OP-SF NET 9.1 ------------- January 15, 2002 ~~~~~~~~~~~~~ From: Vadim Kuznetsov Subject: van Moerbeke to give LMS lectures LONDON MATHEMATICAL SOCIETY INVITED LECTURE SERIES Random matrices, random permutations and integrable lattices Pierre van Moerbeke School of Mathematics, Department of Applied Mathematics University of Leeds, Leeds, UK June 27 - July 2, 2002 The web-page of the 2002 LMS Invited course by Professor Pierre van Moerbeke, to be held in Leeds in next summer, is now created. Please, look at the address: http://maths.leeds.ac.uk/~vadim/LMS_course.htm Please register and/or circulate this information among those interested. Topic #6 ------------- OP-SF NET 9.1 ------------- January 15, 2002 ~~~~~~~~~~~~~ From: Paco Marcellan Subject: Laredo Summer School on Approximation Methods in Systems Theory Summer School on Approximation Methods in Systems Theory. Laredo, Spain. September 2-6, 2002. Organizers: Guillermo López Lagomasino (lago@math.uc3m.es) and Francisco Marcellán (pacomarc@ing.uc3m.es). Departamento de Matemáticas. Universidad Carlos III de Madrid An international Summer School on Approximation Methods in Systems Theory will be held in Laredo, Spain in the framework of The Summer Courses of Universidad de Cantabria. This is a joint activity with Universidad Carlos III de Madrid in order to attract postgraduate students as well as researchers interested in Approximation Theory and the applications in Systems Theory. The lecturers will be: Laurent Baratchart INRIA, Sophia-Antipolis. France Extremal Problems for Analytic Functions and System Identification. Adhemar Bultheel Department of Computer Science, Katholieke Universiteit Leuven. Belgium. Orthogonal bases for numerically Robust System Identification. Diederich Hinrichsen Fachbereich 3, (Mathematik), Universität Bremen. Germany. Spectral Analysis of uncertain systems. Guillermo López Lagomasino Departamento de Matemáticas, Universidad Carlos III de Madrid. Spain. Approximation of Transfer Functions for Control Systems of finite dimension. Francisco Marcellán Departamento de Matemáticas, Universidad Carlos III de Madrid. Spain. Orthogonal Functions in Systems and Control. Postgraduate students can apply for grants. For more information, please contact the organizers before April 1st, 2002. Topic #7 ------------- OP-SF NET 9.1 ------------- January 15, 2002 ~~~~~~~~~~~~~ From: OP-SF NET Editor Subject: Patras Conference on Differential and Difference Equations International Conference on Differential, Difference Equations and Their Applications: Dedicated to E. K. Ifantis, Patras. Greece, July 1-5. 2002. This information is taken from the web site; http://thalis.math.upatras.gr/~panos/EnglVersion/Webpage/icddea.html More information, including registration form, is available there. SECOND ANNOUNCEMENT According to the overwhelming response to the first circular, we expect about 120 scientists from all over the world. If you would like to give a talk, please indicate its title on the registration form (which should be sent before March 31, 2002 to the Conference Mailing Address). We shall do our best to set up a balanced programme. We look forward to seeing you in Patras in July. The main subjects of ICDDEA will include: Ordinary Differential Equations. Partial Differential Equations. Ordinary Difference Equations. Partial Difference Equations. Applications. Scope, topics and program The International Conference on Differential, Difference Equations and their Applications intend to cover the field of differential equations, difference equations and their applications in the scientific areas of mathematics, physics and other sciences. This Conference is a forum for presentation and discussion of all aspects of differential and difference equations, ranging from the fundamental to the applied. The aim of the Conference is to provide a common meeting ground for specialists in differential equations, difference equations and related topics, as well as in the rich variety of scientific applications of these subjects. The scientific program will include plenary lectures of 1 hour (50 minutes for presentation and 10 minutes for discussion), invited lectures of 30 minutes (25 minutes for presentation and 5 minutes for discussion) and research seminars of 20 minutes (15 minutes for presentation and 5 minutes for discussion). An approximate time table will be given in the third announcement, which will be sent only to those who register for the Conference. The final program will be given on the registration desk on Sunday, June 31 or Monday 1 July. Local Organizing Committee Chrysi. G. Kokologiannaki (Department of Mathematics, University of Patras) (chrykok@math.upatras.gr) Eugenia N. Petropoulou (Department of Mathematics, University of Patras) (jenny@math.upatras.gr) Panayiotis D. Siafarikas (Department of Mathematics, University of Patras) (panos@math.upatras.gr) Scientific Committee Ondrej Dosly (Czech Republic) Takasi Kusano (Japan) Andrea Laforgia (Italy) Martin Muldoon Canada) Panayiotis Siafarikas (Greece) PLENARY LECTURES · R. P. Agarwal (Singapore), Recent trends in discrete boundary value problems. · A. Fokas ( U. K. ), Differential forms, spectral theory and boundary value problems. · A. Kartsatos ( U.S.A. ), Some recent developments in topological degree theory in Banach spaces and its applications to partial differential equations. · I. Kiguradze (Georgia), On periodic solutions of two-dimensional nonautonomous differential systems. · G. Ladas ( U.S.A. ), Open problems and conjectures in difference equations. INVITED LECTURES · N. Alikakos (Greece), to be announced later. · I. Antoniou (Greece), Statistical Analysis of Evolution Equations. · N. Artemiadis (Greece), The mathematician’s share in the general human condition. · G. Barbatis (Greece), Heat kernel estimates for singular elliptic operators. · A. Charalambopoulos (Greece), Scattering of elastic waves from infinite surfaces. · G. Dassios (Greece), Anisotropic effects for the inverse magnetoenchephalography problem. · D. Dimitrov (Brasil), Electrostatics, Lame differential equation and zeros of orthogonal polynomials. · Z. Dosla (Czech Republic), Some aspects of nonlinear second order differential and difference equations · O. Dosly (Czech Republic), Symplectic and Hamiltonian systems: Transformations and oscillation theory. · W. Eberhard (Germany), to be announced later. · S. Filippas (Greece), to be announced later. · A. Georgescu (Romania), Dynamics and bifurcation in biological and economical dynamics. · A. Grispolakis (Greece), to be announced later. · M. Grillakis (U.S.A.), to be announced later. · I. Gyori (Hungary), to be announced later. · A. Himonas (U.S.A.), Analyticity of the Cauchy problem for an integrable evolution equation. · S. Kamvisis (Greece), to be announced later. · K. Karanikas (Greece), A variety orthogonal sequence based on wavelet sampling theory for applications on differential equations. · K. Kiriaki (Greece), The linear sampling method in linear elasticity. · D. Kravaritis (Greece), to be announced later. · T. Kusano (Japan), Nonoscillatory half-linear differential equations and regular variation. · L. Littlejohn (U.S.A.), to be announced later. · A. Lomtatidze (Czech Republic), On bounded solutions of functional differential equations. · S. K. Ntouyas (Greece), Neutral functional differential inclusions. · G. Papaschinopoulos (Greece), On a fuzzy difference equation. · C. Philos (Greece), to be announced later. · D. O’ Regan (Ireland), to be announced later. · P. E. Ricci (Italy), Generalizations of the Bernoulli and Appell polynomials. · M. Sambandham (U.S.A.), Stability properties of hybrid fuzzy differential equation. · I. Schinas (Greece), to be announced later. · A. Schneider (Germany), to be announced later. · N. Stavrakakis (Greece), to be announced later. · I. Stavroulakis (Greece), Oscillations of functional differential equations. · I. Stratis (Greece), Propagation of electromagnetic waves in complex media: a time-domain analysis. · A. Tertikas (Greece), to be announced later. · A. Tzavaras (U.S.A.), Diffusive effects in the long time evolution of nonlinear convection equations. · E. van Doorn (Netherlands), On orthogonal polynomials and infinite systems of differential equations arising in Markov-process analysis. · J. Vosmansky (Czech Republic), to be announced later. Abstracts All participants who wish to present a talk, are kindly requested to send a title and an abstract written in English before April 30, 2002. The abstract should not exceed one page but should have a minimum of 10 lines with the description of the topic covered in a comprehensive manner. Since the abstracts will be reproduced directly in the book of abstracts, their typographical quality should be as good as possible. The plenary and invited speakers are also requested to send a one page abstract of their presentation. Publications The proceedings of the Conference will be published as a special issue of the journal ABSTRACT AND APPLIED ANALYSIS. IMPORTANT: Submitted papers must be received before 15 September, 2002. Registration fees · Participants: 240 Euro. · Students (under formal verification): 120 Euro. · Accompanying person: 90 Euro. After March 31, 2002, all participants and their companions must pay an additional fee of 30 Euro for late registration. Participant's and student's fee include: · Admission to the Conference. · Conference documents. · Book of Abstracts. · Conference Proceedings. · Welcome dinner. · Official reception. · Guided visit to ancient Delphi. · Lunches from 1 July to 5 July. · Transportation from the hotels to the Conference Site and vice versa. · Transportation from the hotels to the sites of the social events. Payment of the registration fee should be made in Euro by bank-to-bank transfer to bank account no.131 01 009179 92 of Agricultural Bank of Greece, Patras branch The total sum should be NETTO, i.e. all bank expenses must be covered by the payer and should not be deducted from the amount paid. A copy of the corresponding bank receipt should be sent together with the Registration Form (by fax or ordinary mail). In each payment the name(s) of the participant(s) must be stated. Cancellations should be made to the local organising committee in writing. The following rules will apply: · cancellation received before April 30, 2002: 80% refund · cancellation received before May 30, 2002: 50% refund · cancellation received after May 30, 2002: no refund. Accommodation All participants will be lodged in rooms at some of the hotels of Patras, which are near the Conference Site or in the centre of Patras. Special rates have been arranged, starting at about 40 Euro per day for a single room with breakfast. See the web site for more information. Conference Site The conference will be held at the Conference and Cultural Hall of the University of Patras, located at the University Campus (this campus is well connected to the city centre of Patras by buses. The city centre is only 7 km from the Conference Site ). The city itself and its surroundings are special attractions. Beaches are beside the hotels which are located 3 km from the Conference Site. Patras may be reached easily by car, bus (3 hours) (there exist a National Road from Athens that connects Athens with Patras ), train (it lies along the National Road from Athens to Patras) (3,5 hours) and ship (especially for people coming from Italy). Conference Mailing Address INTERNATIONAL CONFERENCE ON DIFFERENTIAL, DIFFERENCE EQUATIONS AND THEIR APPLICATIONS Department of Mathematics (to Prof. P. D. Siafarikas) University of Patras 26500 Patras Greece Tel. - Fax: +(3) 061 997169 E-Mail: icddea@math.upatras.gr http://thalis.math.upatras.gr/~panos/EnglVersion/Webpage/icddea.html Topic #8 ------------- OP-SF NET 9.1 ------------- January 15, 2002 ~~~~~~~~~~~~~ From: Allan Pinkus Subject: History of Approximation Theory Homepage [This item, which appeared in AT-NET BULLETIN NO. 108, is included at the suggestion of Tom Koornwinder. For AT-NET Bulletin, see the WWW home-page: http://www.uni-giessen.de/www-Numerische-Mathematik/at-net] History of Approximation Theory Homepage ---------------------------------------- We wish to announce the beginnings of a homepage devoted to the History of Approximation Theory (HAT). It is to be found at: http://www.math.technion.ac.il/hat/ or at its mirror site: http://www.cs.wisc.edu/~deboor/HAT/ We welcome any and all suggestions, comments, help, support and criticism. Allan Pinkus Carl de Boor Topic #9 ------------- OP-SF NET 9.1 ------------- January 15, 2002 ~~~~~~~~~~~~~ From: Tom Koornwinder Subject: Ramanujan: Essays and Surveys [From: http://www.ams.org/bookstore] Ramanujan: Essays and Surveys Edited by: Bruce C. Berndt, University of Illinois, Urbana-Champaign, IL, and Robert A. Rankin, University of Glasgow, Scotland Description This book contains essays on Ramanujan and his work that were written especially for this volume. It also includes important survey articles in areas influenced by Ramanujan's mathematics. Most of the articles in the book are nontechnical, but even those that are more technical contain substantial sections that will engage the general reader. The book opens with the only four existing photographs of Ramanujan, presenting historical accounts of them and information about other people in the photos. This section includes an account of a cryptic family history written by his younger brother, S. Lakshmi Narasimhan. Following are articles on Ramanujan's illness by R. A. Rankin, the British physician D. A. B. Young, and Nobel laureate S. Chandrasekhar. They present a study of his symptoms, a convincing diagnosis of the cause of his death, and a thorough exposition of Ramanujan's life as a patient in English sanitariums and nursing homes. Following this are biographies of S. Janaki (Mrs. Ramanujan) and S. Narayana Iyer, Chief Accountant of the Madras Port Trust Office, who first communicated Ramanujan's work to the Journal of the Indian Mathematical Society. The last half of the book begins with a section on "Ramanujan's Manuscripts and Notebooks". Included is an important article by G. E. Andrews on Ramanujan's lost notebook. The final two sections feature both nontechnical articles, such as Jonathan and Peter Borwein's "Ramanujan and pi", and more technical articles by Freeman Dyson, Atle Selberg, Richard Askey, and G. N. Watson. This volume complements the book Ramanujan: Letters and Commentary, Volume 9, in the AMS series, History of Mathematics. For more on Ramanujan, see these AMS publications, Ramanujan: Twelve Lectures on Subjects Suggested by His Life and Work, Volume 136.H, and Collected Papers of Srinivasa Ramanujan, Volume 159.H, in the AMS Chelsea Publishing series. Copublished with the London Mathematical Society. Members of the LMS may order directly from the AMS at the AMS member price. The LMS is registered with the Charity Commissioners. Contents R. A. Rankin -- Commentary (by R. A. R.) The life of Ramanujan The four photographs of Ramanujan The books studied by Ramanujan in India The influence of Carr's synopsis on Ramanujan The notebooks of Srinivasa Ramanujan A recently discovered letter giving Ramanujan's examination scores On Ramanujan The Ramanujan family record Ramanujan's illness Ramanujan as a patient Ramanujan's illness An incident in the life of S. Ramanujan, F.R.S.: Conversations with G. H. Hardy, F.R.S. and J. E. Littlewood, F.R.S. and their sequel S. Janaki S. Janaki Ammal (Mrs. Ramanujan) Conversation "I didn't understand his work, but I knew his worth" S. Narayana Iyer A short biography of S. Narayana Iyer The distribution of primes Some theorems in summation E. H. Neville Srinivasa Ramanujan University lectures in Madras Ramanujan's manuscripts and notebooks Ramanujan's manuscripts and notebooks Ramanujan's manuscripts and notebooks, II An overview of Ramanujan's notebooks An introduction to Ramanujan's "lost" notebook Nontechnical articles on Ramanujan's work Ramanujan and pi pi related developments since 1988 Reflections around the Ramanujan centenary The problems submitted by Ramanujan to the Journal of the Indian Mathematical Society Somewhat more technical articles on Ramanujan's work A walk through Ramanujan's garden Ramanujan and hypergeometric and basic hypergeometric series The final problem: An account of the mock theta functions Details: Publisher: American Mathematical Society, London Mathematical Society Distributor: American Mathematical Society Series: History of Mathematics, ISSN: 0899-2428 Volume: 22 Publication Year: 2001 ISBN: 0-8218-2624-7 Paging: 347 pp. Binding: Hardcover List Price: $79 Institutional Member Price: $63 Individual Member Price: $63 Order Code: HMATH/22 Topic #10 ------------- OP-SF NET 9.1 ------------- January 15, 2002 ~~~~~~~~~~~~~ From: OP-SF NET Editor Subject: q-Series Conference Proceedings [From: http://www.ams.org/bookstore] q-Series with Applications to Combinatorics, Number Theory, and Physics Edited by: Bruce C. Berndt, University of Illinois, Urbana, IL, and Ken Ono, University of Wisconsin, Madison, WI Description The subject of q-series can be said to begin with Euler and his pentagonal number theorem. In fact, q-series are sometimes called Eulerian series. Contributions were made by Gauss, Jacobi, and Cauchy, but the first attempt at a systematic development, especially from the point of view of studying series with the products in the summands, was made by E. Heine in 1847. In the latter part of the nineteenth and in the early part of the twentieth centuries, two English mathematicians, L. J. Rogers and F. H. Jackson, made fundamental contributions. In 1940, G. H. Hardy described what we now call Ramanujan's famous _1\psi_1 summation theorem as "a remarkable formula with many parameters." This is now one of the fundamental theorems of the subject. Despite humble beginnings, the subject of q-series has flourished in the past three decades, particularly with its applications to combinatorics, number theory, and physics. During the year 2000, the University of Illinois embraced The Millennial Year in Number Theory. One of the events that year was the conference q-Series with Applications to Combinatorics, Number Theory, and Physics. This event gathered mathematicians from the world over to lecture and discuss their research. This volume presents nineteen of the papers presented at the conference. The excellent lectures that are included chart pathways into the future and survey the numerous applications of q-series to combinatorics, number theory, and physics. Contents (authors names are not given) q-series Congruences and conjectures for the partition function MacMahon's partition analysis VII: Constrained compositions Crystal bases and $q$-identities The Bailey-Rogers-Ramanujan group Multiple polylogarithms: A brief survey Swinnerton-Dyer type congruences for certain Eisenstein series More generating functions for $L$-function values On sums of an even number of squares, and an even number of triangular numbers: An elementary approach based on Ramanujan's $_1\psi_1$ summation formula Some remarks on multiple Sears transformations Another way to count colored Frobenius partitions Proof of a summation formula for an $\tilde A_n$ basic hypergeometric series conjectured by Warnaar On the representation of integers as sums of squares 3-regular partitions and a modular K3 surface A new look at Hecke's indefinite theta series A proof of a multivariable elliptic summation formula conjectured by Warnaar Multilateral transformations of $q$-series with quotients of parameters that are nonnegative integral powers of $q$ Completeness of basic trigonometric system in $\mathcal{L}^{p}$ The generalized Borwein conjecture. I. The Burge transform Mock $\vartheta$-functions and real analytic modular forms Details: Publisher: American Mathematical Society Distributor: American Mathematical Society Series: Contemporary Mathematics, ISSN: 0271-4132 Volume: 291 Publication Year: 2001 ISBN: 0-8218-2746-4 Paging: 277 pp. Binding: Softcover List Price: $69 Institutional Member Price: $55 Individual Member Price: $41 Order Code: CONM/291 Topic #11 ------------- OP-SF NET 9.1 ------------- January 15, 2002 ~~~~~~~~~~~~~ From: Oleg Marichev Subject: Wolfram's "Mathematical Functions" Dear Colleagues, Let me invite you to visit the new version of our site with 37000 formulas: http://functions.wolfram.com See also the modified http://mathworld.wolfram.com (which has returned). Oleg Marichev Topic #12 ------------- OP-SF NET 9.1 ------------- January 15, 2002 ~~~~~~~~~~~~~ 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.NT/0111012 Title: Spacing of zeros of Hecke L-functions and the class number problem Authors: J. Brian Conrey, Henryk Iwaniec Comments: 61 pages Subj-class: Number Theory math.NT/0111013 Title: Real zeros of quadratic Dirichlet L-functions Authors: J. Brian Conrey, Kannan Soundararajan Comments: 38 pages Subj-class: Number Theory math.QA/0111022 Title: Some remarks on q-deformed multiple polylogarithms Authors: Karl-Georg Schlesinger Comments: 11 pages Subj-class: Quantum Algebra MSC-class: 11G55; 17B37 math.CO/0111059 Title: Nouvelles statistiques de partitions pour les q-nombres de Stirling de seconde espece Authors: Zeng jiang et Ksavrelof gerald Comments: 13 pages Subj-class: Combinatorics math.CA/0111252 Title: The Riemann-Hilbert approach to strong asymptotics for orthogonal polynomials on [-1,1] Authors: A.B.J. Kuijlaars, K.T-R McLaughlin, W. Van Assche, M. Vanlessen Comments: 50 pages, 7 figures, 33 references Subj-class: Classical Analysis; Complex Variables MSC-class: 30E25; 35Q15; 42C05 math.CO/0111328 Title: Evaluations of some determinants of matrices related to the Pascal triangle Authors: Christian Krattenthaler (Universit„t Wien) Comments: 19 pages, AmS-TeX Subj-class: Combinatorics; Linear Algebra; Number Theory MSC-class: 05A19 (Primary) 05A10 11C20 15A15 33C45 (Secondary) hep-th/0111067 Title: Inverse Scattering, the Coupling Constant Spectrum, and the Riemann Hypothesis Authors: N. N. Khuri Comments: 107 pages, 1 figure, Latex Subj-class: High Energy Physics - Theory; Mathematical Physics; Analysis of PDEs; Number Theory math-ph/0111007 Title: Fredholm determinants, Jimbo-Miwa-Ueno tau-functions, and representation theory Authors: Alexei Borodin, Percy Deift Comments: AMSTeX, 62 pages Subj-class: Mathematical Physics; Classical Analysis; Representation Theory math-ph/0111008 Title: Discrete gap probabilities and discrete Painleve equations Authors: Alexei Borodin Comments: AMSTeX, 43 pages, 1 figure Subj-class: Mathematical Physics; Classical Analysis; Combinatorics; Representation Theory math.QA/0112009 Title: Hypergeometric Solutions of the qKZ Equation at Level Zero Authors: Vitaly Tarasov Comments: 8 pages, latex 2.09, czjphys209.sty required Subj-class: Quantum Algebra Journal-ref: Czech. J. Phys. 50 (2000) no.1, 193--200 math.QA/0112035 Title: BC_n-symmetric polynomials Authors: Eric M. Rains Comments: 63 pages, LaTeX (AMS macros) Subj-class: Quantum Algebra; Combinatorics math.QA/0112127 Title: A differential ideal of symmetric polynomials spanned by Jack polynomials at $\beta=-(r-1)/(k+1)$ Authors: B.Feigin, M.Jimbo, T.Miwa, E.Mukhin Comments: Latex, 12 pages Subj-class: Quantum Algebra; Combinatorics math.NT/0112137 Title: Trigonometric Expansions of Theta Functions Authors: A. Raouf Chouikha Comments: 15 pages Subj-class: Number Theory; Classical Analysis MSC-class: Primary: 33E05; Secondary: 33E20, 34A20 math.DS/0112156 Title: An estimate of the number of zeros of abelian integrals for special hamiltonians of arbitrary degree Authors: A.A.Glutsyuk, Yu.S.Ilyashenko Comments: 61 pages, figures will be added later Subj-class: Dynamical Systems; Complex Variables MSC-class: 34C, 37G math.CA/0112179 Title: The Heun equation and the Calogero-Moser-Sutherland system II: the perturbation and the algebraic solution Authors: Kouichi Takemura Comments: 46 pages Subj-class: Classical Analysis; Spectral Theory; Mathematical Physics; Exactly Solvable and Integrable Systems MSC-class: 33E15; 81Q10 math.CO/0112194 Title: Free martingale polynomials Authors: Michael Anshelevich Comments: AMS-LaTeX with Times fonts; 25 pages Subj-class: Combinatorics; Classical Analysis; Operator Algebras; Probability Theory MSC-class: 46L54; 05A40 math.NT/0112196 Title: The Highest-Lowest Zero and other Applications of Positivity Authors: Stephen D. Miller Comments: 25 pages, 15 figures. To appear in the Duke Math. Journal. Subj-class: Number Theory; Representation Theory cond-mat/0112386 Title: q-Random Matrix Ensembles Authors: K.A. Muttalib, Y. Chen, M.E.H. Ismail Comments: 23 pages, review article Subj-class: Disordered Systems and Neural Networks; Statistical Mechanics; Mathematical Physics Journal-ref: Symbolic Computation, Number Theory, Special Functions, Physics and Combinatorics; Developments in Mathematics, vol 4, Eds. F.G. Garvan and M.E.H. Ismail (Kluwer, 2001) math-ph/0112005 Title: Scattering phase shift for relativistic exponential-type separable potentials Authors: A. D. Alhaidari Comments: Accepted for publication in J. Phys. A, to appear in January 2002. Replaced with a more portable PDF version Subj-class: Mathematical Physics Journal-ref: J. Phys. A 34, 11273 (2001) math-ph/0112008 Title: Sum Rules for Jacobi Matrices and Their Applications to Spectral Theory Authors: Rowan Killip, Barry Simon Subj-class: Mathematical Physics; Classical Analysis MSC-class: 34L05, 42C05, 47B36, 81Q10 math-ph/0112012 Title: Integrals of monomials over the orthogonal group Authors: Thomas Gorin Comments: 9 pages, no figures Subj-class: Mathematical Physics math-ph/0112014 Title: Some Diophantine relations involving circular functions of rational angles Authors: F.Calogero, A.M.Perelomov Comments: 4 pages, an old paper (1979) posted for archival purposes Subj-class: Mathematical Physics Journal-ref: Linear Algebra and Applications 25, 91-94 (1979) math-ph/0112020 Title: A fractional generalization of the Riccati equation Authors: A.L. Madueño, H. Rosu, J. Socorro Comments: 7 pages, revtex, minor changes, two references added Subj-class: Mathematical Physics math-ph/0112021 Title: A remark on the matrix Airy function Authors: A.M.Perelomov Comments: 4 pages Subj-class: Mathematical Physics Journal-ref: Theoretical and Mathematical Physics, 123, 671-672 (2000) math-ph/0112027 Title: Lieb-Thirring Inequalities for Jacobi Matrices Authors: Dirk Hundertmark, Barry Simon Comments: 21 pages, LaTeX2e Subj-class: Mathematical Physics math-ph/0112028 Title: Subalgebras of $\gc_N$ and Jacobi polynomials Authors: Alberto De Sole, Victor G. Kac Comments: 35 pages, LaTex Subj-class: Mathematical Physics math-ph/0112030 Title: Trigonometry of 'complex Hermitian' type homogeneous symmetric spaces Authors: Ramon Ortega, Mariano Santander Comments: 46 pages, LaTeX Subj-class: Mathematical Physics math-ph/0112050 Title: Heat kernel-zeta function relationship coming from the classical moment problem Authors: M. Tierz, E.Elizalde Comments: 17 pages Subj-class: Mathematical Physics; Chaotic Dynamics nlin.SI/0112043 Title: Generating Function Associated with the Rational Solutions of the Painlev\'e II Equation Authors: Katsunori Iwasaki, Kenji Kajiwara, Toshiya Nakamura (Graduate School of Mathematics, Kyushu University) Comments: 7 pages Subj-class: Exactly Solvable and Integrable Systems nlin.SI/0112045 Title: q-Painlev\'e systems arising from q-KP hierarchy Authors: Kenji Kajiwara (1), Masatoshi Noumi (2), Yasuhiko Yamada (2) ((1) Graduate School of Mathematics, Kyushu University, (2) Department of Mathematics, Kobe University) Comments: 10 pages Subj-class: Exactly Solvable and Integrable Systems Topic #13 ------------- OP-SF NET 9.1 ------------- January 15, 2002 ~~~~~~~~~~~~~ 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 #14 ------------- OP-SF NET 9.1 ------------- January 15, 2002 ~~~~~~~~~~~~~ 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 9.2 should be sent by March 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 (2002-2004) are: Daniel W. Lozier, Chair Walter Van Assche, Vice Chair Peter Clarkson, 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