September 15, 2002 O P - S F N E T Volume 9, 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 Editor 2. Madison Session on Special functions and Combinatorics 3. New book on Hilbert space, boundary value problems and orthogonal polynomials 4. Call for Nominations - The Peter Henrici Prize 5. 2003 SIAM Student Paper Prizes 6. Preprints in xxx Archive 7. About the Activity Group 8. Submitting contributions to OP-SF NET and Newsletter Calendar of Events: 2002 September 23-27: International Conference on Special Functions and their Applications, Chennai, India 9.2 #4 October 12-13: Special Session on Special functions and Combinatorics during the AMS meeting, Madison, WI, USA 9.4 #3 9.4 #2 2003 January 15-18: Annual Meeting of American Mathematical Society including special session on "Special Functions and q-Series" Baltimore, Maryland, USA 9.3 #1 May 14-17: Advances in Constructive Approximation, Nashville, Tennessee, USA 9.4 #7 June 18-21: Special session on "Constructive Approximation Theory" during the AMS-RSME Joint Meeting, Seville, Spain 9.4 #4 July 7-11: 5th International Congress on Industrial and Applied Mathematics, ICIAM 2003, Sydney, Australia. 8.6 #6 August 11-16: Fourth ISAAC Congress, Toronto, Canada 9.2 #6 9.4 #5 August 18-22: Seventh International Symposium on Orthogonal Polynomials, Special Functions and Applications, Copenhagen, Denmark 8.6 #7 9.4 #6 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 Laredo (2000), Inzell (2001) and Leuven (2002; see Topic #5). 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. Dan Lozier (OP-SF NET 9.4, Topic #2) suggests a SIAM-sponsored meeting in Orthogonal Polynomials and Special Functions to be held in Washington, DC in June 2004. Topic #1 ------------ OP-SF NET 9.5 ------------- September 15, 2002 ~~~~~~~~~~~~~ From: OP-SF NET Editor Subject: Message from the Editor There was a delay in sending out OP-SF NET 9.4. This was partly because we wanted to make sure that the Message from the Chair (Topic #2) did not misrepresent anything SIAM Director Jim Crowley had said about he matters discussed there. This took longer than expected. The matters discussed are important because they involve two possible new initiatives for our Activity Group: a SIAM-sponsored OP-SF Prize, and a SIAM-sponsored OP-SF Conference in Washington, DC, in June 2004. Please refer to the Message from the Chair in OP-SF NET 9.4 for further information. Topic #2 ------------ OP-SF NET 9.5 ------------- September 15, 2002 ~~~~~~~~~~~~~ From: OP-SF NET Editor Subject: Madison Session on Special functions and Combinatorics Here is the list of speakers and titles of talks in the Special Session on Combinatorics and Special Functions, organized by Richard Askey and Paul Terwilliger, to be held during the meeting of the American Mathematical Society in Madison Wisconsin, October 12-13, 2002. See OP-SF NET 9.4, Topic #3. Presenters are indicated by an asterisk. This is from the web site: http://www.ams.org/amsmtgs/2077_special.html New Formulas for Ramanujan's Tau Function and the Leech Lattice. Stephen C Milne*, The Ohio State University Special Functions Related to Representations of High Dimension Lie Groups. Alexander Rozenblyum*, New York City College of Technology, CUNY Fifth Order Mock Theta Functions. Boon P Yeap*, University of Illinois at Urbana-Champaign A proof of Askey-Wilson relations for Leonard pairs. Raimundas Vidunas*, University of Antwerp The pseudo cosine sequences of a distance-regular graph. A A Pascasio*, De La Salle University Paul M Terwilliger, University of Wisconsin On the Generalized Rogers--Ramanujan Continued Fraction. Bruce C. Berndt*, University of Illinois at Urbana-Champaign Ae Ja Yee, University of Illinois at Urbana-Champaign An indeterminate moment problem involving the Al-Salam--Chihara polynomials. Jacob Stordal Christiansen*, University of Copenhagen Mourad E. H. Ismail, University of South Florida Zeta Functions of Graphs: When Number Theory Meets Graph Theory. Audrey A. Terras*, U.C.S.D. Eigenvalue and Dual Eigenvalue Sequences for Three Mutually Adjacent Leonard Pairs. Brian L Hartwig*, University of Wisconsin A transformation on the space of rational functions. Victor H Moll*, Department of Mathematics, Tulane University On Ramanujan's Continued Fraction for $(q^2;q^3)_{\infty}/(q;q^3)_{\infty}$. George E Andrews, Pennsylvania State University Bruce C Berndt, University of Illinois Jaebum Sohn*, Ohio State University Ae Ja Yee, University of Illinois Alexandru Zaharescu, University of Illinois Sign Variations on the Macdonald Identities. David M Bressoud*, Macalester College New Ramanujan-Kolberg Type Partition Identities. Heekyoung Hahn*, UIUC Heng Huat Chan, National University of Singapore Richard P Lewis, University of Sussex Siew Lian Tan, Singapore Asymptotics of Krawtchouk polynomials and the covering radius of linear codes. A. Ashikhmin, Bell Labs, Lucent Technologies A. Barg*, Bell Labs, Lucent Technologies Determinants of Period Matrices and Applications to Multidimensional Beta Integrals. Qifu Zheng*, The College of New Jersey Some derivative identities and applications. Warren P Johnson*, Bates College Generalized Frobenius partitions with $k$ colors and Generalized Frobenius partitions with $k$ repetitions. Ae Ja Yee*, University of Illinois at Urbana-Champaign Sieved q-binomial coefficients. Dennis Stanton*, University of Minnesota Dennis White, University of Minnesota Quantum supergroup and q-polynomials. Yi Ming Zou*, University of Wisconsin-Milwaukee Pseudo primitive idempotents and almost 2-homogeneous bipartite distance-regular graphs. Michael S Lang*, University of Wisconsin -- La Crosse Elliptic hypergeometric series on root systems. Hjalmar Rosengren*, Chalmers University Askey-Wilson type functions, with bound states. Luc N. Haine*, University of Louvain Plamen I. Iliev, University of California at Berkeley The $q$-Difference Operator and the Rogers-Ramanujan Identities. George E. Andrews*, Penn State University Topic #3 ------------ OP-SF NET 9.5 ------------- September 15, 2002 ~~~~~~~~~~~~~ From: Tom Koornwinder Subject: New book on Hilbert space, boundary value problems and orthogonal Polynomials From: http://www.birkhauser.ch/books/math/6701.htm A.M. Krall, Hilbert space, boundary value problems and orthogonal Polynomials, Birkhauser, 2002. 368 pages, Hardcover, Euro 128.-, Swiss Francs 192.-; ISBN 3-7643-6701-6 This monograph consists of three parts: the abstract theory of Hilbert spaces, leading up to the spectral theory of unbounded self-adjoined operators; the application to linear Hamiltonian systems, giving the details of the spectral resolution; and further applications such as to orthogonal polynomials and Sobolev differential operators. Written in textbook style this up-to-date volume is geared towards graduate and postgraduate students and researchers interested in boundary value problems of linear differential equations or in orthogonal polynomials. Topic #4 ------------ OP-SF NET 9.5 ------------ September 15, 2002 ~~~~~~~~~~~~~ From: Joanna Littleton Subject: Call for Nominations - The Peter Henrici Prize Call for Nominations - The Peter Henrici Prize The Peter Henrici Prize is awarded jointly by the Eidgenossische Technische Hochschule Zurich (ETHZ) and the Society for Industrial and Applied Mathematics (SIAM). The prize is awarded for original contributions to applied analysis and numerical analysis and/or for exposition appropriate for applied mathematics and scientific computing. The prize is intended to recognize broad and extended contributions to these subjects, rather than a single outstanding work. The next award will be presented at the Fifth International Congress on Industrial and Applied Mathematics (ICIAM 2003) in Sydney, Australia, 7-11 July 2003. Eligibility There are no restrictions on eligibility beyond those specified above. Description of the Award The award is to include a certificate containing the citation and a cash prize of $2500 plus reasonable travel costs to attend the prize ceremony. Selection Committee The selection committee for the 2003 Henrici Prize consists of Germund Dahlquist (KTH, Stockholm, Sweden), Gene H. Golub (Stanford University), Martin Gutknecht, Chair (ETH Zurich), and Rolf Jeltsch (ETH Zurich). Nominations Nominations may be made by anyone, including members of the selection committee. It is the responsibility of the nominator to provide all relevant information to the selection committee, including a resume and any letter(s) of support. In case his or her nominee will be chosen, the nominator will also be asked to provide the draft of a citation of about 100 words that can be read at the award ceremony. Letters of nomination should be sent by DECEMBER 1, 2002, to Prof. Martin H. Gutknecht Chair, Selection Committee for Peter Henrici Prize c/o Allison Bogardo Society for Industrial and Applied Mathematics 3600 University City Science Center Philadelphia, PA 19104-2688 U.S.A. Telephone: 215-382-9800 Fax: 215-386-7999 E-mail: bogardo@siam.org or to Prof. Martin H. Gutknecht Seminar for Applied Mathematics ETH-Zentrum, HG CH-8092 Zurich Switzerland Telephone: (+41)(0)1-632-3464 Fax: (+41)(0)1-632-1104 E-mail: gutknecht@math.ethz.ch For additional information see http://www.siam.org/prizes/henrici.htm Topic #5 ------------ OP-SF NET 9.5 ------------- September 15, 2002 ~~~~~~~~~~~~~ From: Allison Bogardo Subject: 2003 SIAM Student Paper Prizes The 2003 SIAM Student Paper Prizes will be presented at the First Joint Meeting of CAIMS and SIAM, June 16-20, at the Queen Elizabeth Hotel in Montreal, Canada. This meeting also will serve as SIAM's 2003 Annual Meeting. Up to three papers will be selected for the prizes. Principal Guidelines -------------------- The SIAM Student Paper Prizes are awarded every year to the student author(s) of the most outstanding paper(s) submitted to the SIAM Student Paper Competition. This award is based solely on the merit and content of the student's contribution to submitted paper. The purpose of the Student Paper Prizes is to recognize outstanding scholarship by students in applied mathematics or computing. Selection Procedures -------------------- Eligibility Eligibility is restricted to students in good standing who have not received their Ph.D. at the time of submitting their entry or who have completed their degree within one year of submission of their entry. Submissions may be based on co-authored papers, provided that the student's advisor will attest that the student's work played a pivotal role in the results. A letter from the student's advisor or department chair must accompany each entry to verify these conditions. To enter the competition, a student must submit: (1) an extended abstract in English of a paper, and (2) a short biography. The total length of the submitted abstract (including bibliography) may not exceed five pages. The student also must submit the complete paper, which will be used for clarification of any questions the selection committee may have on the extended abstract. In addition, the student's advisor or an interested faculty member must submit a letter describing and evaluating the paper's contribution to the literature, and the student's role in the scholarship. For the 2003 award, all papers and accompanying documentation must be received at the SIAM office by February 16, 2003. Notification of Prize Winner ---------------------------- The SIAM president will notify the recipient(s) at least six weeks before the award date. Each recipient is required to present his or her paper at the meeting where the prizes are awarded; if attending the meeting poses a serious hardship, an exception may be granted by the SIAM president. Description of the Award ------------------------ Each recipient of the SIAM Student Paper Prize shall receive a framed certificate and a cash award of $1,000, plus $500 toward travel expenses. Please direct your submission and any questions you may have to A. Bogardo at SIAM, 3600 University City Science Center, Philadelphia, PA 19104-2688; telephone (215) 382-9800; e-mail to bogardo@siam.org. Topic #6 ------------ OP-SF NET 9.5 ------------- September 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.CO/0207030 Title: The Bailey lemma and Kostka polynomials Authors: S. Ole Warnaar Comments: 39 pages, AMS-LaTeX Subj-class: Combinatorics; Quantum Algebra MSC-class: Primary 05A19, 05E05, 11B65; Secondary 17B65, 33D15 math.CA/0207046 Title: Elliptic hypergeometric series on root systems Authors: Hjalmar Rosengren Comments: 27 pages Subj-class: Classical Analysis; Quantum Algebra MSC-class: 33D67; 11F50 math.CA/0207122 Title: Symmetric Functions and B_N-invariant Spherical Harmonics Authors: Charles F. Dunkl Comments: 22 pages Subj-class: Classical Analysis; Combinatorics MSC-class: 33C55, 05E05, 81Q05, 82D25 math.QA/0207159 Title: Fusion and exchange matrices for quantized sl(2) and associated q-special functions Authors: T.H. Koornwinder, N. Touhami Comments: 39 pages Subj-class: Quantum Algebra; Classical Analysis MSC-class: 17B37, 33D80 math.CO/0207175 Title: My Favorite Integer Sequences Authors: N.J.A. Sloane Comments: 27 pages, 13 figures Subj-class: Combinatorics; Number Theory MSC-class: 05-01, 11-01, 40-01 Journal-ref: Sequences and their Applications (Proceedings of SETA '98), C. Ding, T. Helleseth and H. Niederreiter (editors), Springer-Verlag, London, 1999, pp. 103-130 math.CO/0207192 Title: 321-polygon-avoiding permutations and Chebyshev polynomials Authors: T. Mansour, Z. Stankova Comments: 11 pages, 1 figure Subj-class: Combinatorics math.KT/0207222 Title: Functional equations of higher logarithms Authors: Herbert Gangl Comments: 14 pages, final version, to appear in Selecta Mathematica Subj-class: K-Theory and Homology MSC-class: 11G55, 33E20, 39B32 math.NT/0207236 Title: Random matrix theory and discrete moments of the Riemann zeta function Authors: C.P. Hughes Subj-class: Number Theory math.NT/0207237 Title: A general statement of the functional equation for the Riemann zeta-function Authors: Luis Baez-Duarte Comments: 3 pages Subj-class: Number Theory; Complex Variables math-ph/0207005 Title: Painlev\'e transcendent evaluations of finite system density matrices for 1d impenetrable Bosons Authors: P.J. Forrester, N.E. Frankel, T.M. Garoni, N.S. Witte Comments: AMSLatex, requires Commun. Math. Phys. style macros Subj-class: Mathematical Physics MSC-class: 81Hxx;15A52;33E17 math-ph/0207019 Title: Cyclic identities involving Jacobi elliptic functions - II Authors: Avinash Khare, Arul Lakshminarayan, Uday Sukhatme Comments: 34 pages, no figures Subj-class: Mathematical Physics; Exactly Solvable and Integrable Systems math-ph/0207022 Title: Exactly solvable periodic Darboux q-chains Authors: Ivan A. Dynnikov, Sergey V. Smirnov Comments: 3 pages, LaTeX, to appear in Russian Math. Surveys Subj-class: Mathematical Physics MSC-class: 39A12 (Primary) 39A70 (Secondary) math-ph/0207028 Title: Associated Lame and various other new classes of elliptic potentials from sl(2,R) and related orthogonal polynomials Authors: Asish Ganguly Comments: 34 pages, 4 tables, 1 figure, PDF file Subj-class: Mathematical Physics Journal-ref: Published in J. Math. Phys. 43,1980(2002) math-ph/0207044 Title: Random matrix theory and the zeros of zeta'(s) Authors: Francesco Mezzadri Comments: 17 pages, 4 figures Subj-class: Mathematical Physics; Number Theory MSC-class: 15A52; 11M99 cond-mat/0207745 Title: Replica field theories, Painleve transcendents and exact correlation functions Authors: Eugene Kanzieper Comments: 4 pages, revtex 4 Subj-class: Disordered Systems and Neural Networks; Mesoscopic Systems and Quantum Hall Effect; Exactly Solvable and Integrable Systems; Mathematical Physics math.CO/0208046 Title: Permutations Which Avoid 1243 and 2143, Continued Fractions, and Chebyshev Polynomials Authors: Eric S. Egge, Toufik Mansour Comments: 32 pages, 4 figures Subj-class: Combinatorics MSC-class: 05A05; 05A15 math.AG/0208097 Title: Intersection numbers of twisted cycles and the correlation functions of the conformal field theory II Authors: Katsuhisa Mimachi (Tokyo Inst Tech), Masaaki Yoshida (Kyushu Univ) Subj-class: Algebraic Geometry MSC-class: 33C70;81T40 math.NT/0208220 Title: Linear statistics for zeros of Riemann's zeta function Authors: C.P. Hughes, Z. Rudnick Subj-class: Number Theory math.CA/0208244 Title: Polynomial Solutions to Difference Equations Connected to Painleve' II-VI Authors: Gert Almkvist Comments: AMS-LaTeX, 9 pages, no figures Subj-class: Classical Analysis MSC-class: 39A10 math-ph/0208006 Title: Factorization method for functional equations of second order Authors: Anatol Odzijewicz, Tomasz Golinski Comments: 19 pages Subj-class: Mathematical Physics nlin.SI/0208002 Title: Differential systems for biorthogonal polynomials appearing in 2-matrix models and the associated Riemann-Hilbert problem Authors: M. Bertola, B. Eynard, J. Harnad Comments: v1:41 pages, 5 figures, 1 table. v2: Typos and other errors corrected. v3: Some conceptual changes, added appendix and two figures v4: Minor typographical changes, improved figures. v5: updated version (submitted) 49 pages, 7 figures, 1 table Subj-class: Exactly Solvable and Integrable Systems; Classical Analysis; Mathematical Physics nlin.SI/0207036 Title: The Riemann-Hilbert Problem for the Bi-Orthogonal Polynomials Authors: Andrei A. Kapaev (PDMI, St Petersburg) Comments: LaTeX, 15 pages. In compare to the original version, the derivation of the matrix wave function is simplified; some comments and references are added Subj-class: Exactly Solvable and Integrable Systems nlin.CD/0208024 Title: Hierarchy of one and many-parameter families of elliptic chaotic maps of cn and sn types Authors: M.A. Jafarizadeh, S. Behnia Comments: 14 pages, Latex Subj-class: Chaotic Dynamics Topic #7 ------------ OP-SF NET 9.5 ------------- September 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://staff.science.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 #8 ------------ OP-SF NET 9.5 ------------- September 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 9.6 should be sent by November 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 October 2002 issue is September 15, 2002, and for the February 2003 issue is January 15, 2003. 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