o - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - o November 15, 2006 O P - S F N E T Volume 13, Number 6 ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ Editors: Diego Dominici dominicd@newpaltz.edu 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. OPSFA - Marseille 2. Special AMS session on OP-SF 3. Kyiv Conference on Nonlinear Mathematical Physics 4. ICIAM Minisymposium on Web Math 5. Terence Tao to receive 2006 SASTRA Ramanujan prize 6. Alexei Okounkov and special functions 7. Book on Jack, Hall-Littlewood and Macdonald Polynomials 8. Corrections to Ismail book on orthogonal polynomials 9. Article on F. V. Atkinson 10. New Public Web Site for the DLMF 11. Call for Nominations - W. T. and Idalia Reid Prize 12. New developments for Journal of Physics A 13. Preprints in arXiv.org 14. About the Activity Group 15. Submitting contributions to OP-SF NET Calendar of Events: 2007 April 21-22: American Mathematical Society meeting in Tucson, Arizona, USA including Special Session on Special Functions and Orthogonal Polynomials 13.6 #2 http://www.ams.org/amsmtgs/2135_program_ss15.html#title June 24-30: Seventh International Conference: Symmetry in Nonlinear Mathematical Physics, Kyiv (Kiev), Ukraine 13.6 #3 http://www.imath.kiev.ua/~appmath/conf.html July 2-6: The 9th Conference on Orthogonal Polynomials, Special Functions and Applications, Marseille, France 13.6 #1 http://www.cpt.univ-mrs.fr/~cosmo/WEB_OPSFA9/OPSFA9_Bulletin1.html July 9-13: International Conference on SCIentific Computation and Differential Equations, Saint-Malo, France http://scicade07.irisa.fr/ July 16-20: ICIAM 2007 - 6th International Congress on Industrial and Applied Mathematics, including Minisymposium on Web Math Zurich, Switzerland http://www.iciam07.ch 13.4 #2 13.6 #4 September 9-14: Applications of Macdonald Polynomials, Banff International Research Station, Banff, Alberta, Canada www.pims.math.ca/birs/birspages.php?task=displayevent&event_id=07w5048 13.5 #1 Topic #1 ---------- OP-SF NET 13.6 ---------- November 15, 2006 ~~~~~~~~~~~~~~ From: OP-SF NET Editors Subject: OPSFA - Marseille The following information is taken from: http://www.cpt.univ-mrs.fr/~cosmo/WEB_OPSFA9/OPSFA9_Bulletin1.html 9th OPSFA July, 2nd-6th 2007 - Marseille - Bulletin (1) The 9th Conference on Orthogonal Polynomials, Special Functions and Applications will take place from the 2nd to 6th of July 2007 at the International Center for Mathematical Meetings (CIRM). It is located on the Universite de la Mediterranee's Campus (Marseille). CIRM is a center for high level scientific meetings in Mathematics, Theoretical Physics, Scientific Computing, Computer Algebra, etc... Background and scope The 9th International Symposium on Orthogonal Polynomials, Special Functions and Applications follows the European Conferences of Bar-le-Duc (France, 1984) opened by Jean Dieudonne, Segovia (Spain, 1986), Erice (Italy, 1990), Granada (Spain, 1991), Evian (France, 1992), Delft (Holland, 1994, in honour of Thomas Jan Stieltjes (1856-1894)), Sevilla (Spain 1997), Patras (Greece, 1999, in honour of Theodore Chihara), Rome (Ostia, Italy, 2001), Copenhagen (Denmark, 2003, in honour of Richard Askey) and Munich (Germany, 2005). It covers the field of orthogonal polynomials (OP), special functions and their applications to other mathematical areas: for instance, q-special functions and quantum groups, Jacobi matrices and integrable Toda lattices, Riemann-Hilbert problem and random matrices models), physics chemistry and biology. The Organizers: Jacek Gilewicz (Toulon, France), Roland Triay (Marseille, France), Galliano Valent (Paris, France) The International Scientific Committee: Francesco Altomare (Bari, Italy), Richard Askey (Madison, USA), Bernhard Beckermann (Lille, France), Christian Berg (Copenhagen, Denmark), Jesus Sanchez Dehesa (Granada, Spain), Mourad E. H. Ismail (Florida, USA), Valeriy Kalyagin (Nijni-Novgorod, Russia), Marek Kowalski (Warsaw, Poland), Alphonse Magnus (Louvain-la-Neuve, Belgium), Francisco Marcellan (Madrid, Spain), Herbert Stahl (Berlin, Germany), Galliano Valent (Paris, France), Walter Van Assche (Leuven, Belgium). The Scope of the Seminars: They are traditionally rather wide and include selected topics on : * Special Functions, OP and q-Extensions * q-Difference Equations * OPRL and OPUC * Real and Complex Jacobi matrices * Jacobi matrices and Integrability * Hermite-PadŽ Approximants * Continued Fractions * Determinate and Indeterminate Moment Problems * Riemann-Hilbert approach to OP * Matrix OP Invited Speakers * Alexander APTEKAREV (Keldysh Institute, Moscow, Russia) * Bernhard BECKERMANN (University of Lille, Lille, France) * Sergey DENISOV (University of Madison, Madison, USA) * Leonid GOLINSKII (Institute for low temperature physics, Kharkov, Ukraine) * Alberto GRUNBAUM (University of California, Berkeley, USA) * Mourad ISMAIL (University of Central Florida, Orlando, USA) * Rowan KILLIP (University of California, Los Angeles, USA) * Arno KUIJLAARS (Katholieke Universiteit, Leuven, Belgium) * Rupert LASSER (TUM, Munich, Germany) * Alphonse MAGNUS (Catholic University of Louvain, Louvain-la-Neuve, Belgium) * Francisco MARCELLAN (University Carlos III, Madrid, Spain) * Andrei MARTINEZ-FINKELSHTEIN (University of Almeria, Almeria, Spain) * Wieslaw PLESNIAK (Jagellonian University, Krakow, Poland) * Jean-Pierre RAMIS (University Paul Sabatier, Toulouse, France) * Barry SIMON (Caltech, Los Angeles, USA) * Herbert STAHL (TFH, Berlin, Germany) * Walter Van ASSCHE (Katholieke Universiteit, Leuven, Belgium) Practical Information Contribution: The procedure for registration and submitting contributions will be explained in Bulletin 2. Travel: Participants are expected to arrive on Sunday July 1st (evening) and leave on Saturday July 7th (morning), with no possible extension organized by the Conference. In case of sufficient funding, transport by coaches from (and to) Marseille-Marignane Airport will be organized by the Conference; further informations will be provided in Bulletin 2. There is additional information at the web site. Accommodation: Accommodation will be provided for all participants, either at CIRM (see rates information at the web site) or in the student village (single bedrooms EURO 20 per night). Other options (hotels in Marseille or in Cassis; see web site for links) will not be arranged by the Conference. Walking: CIRM is located within a 20 minutes walk from the "Calanques", with no public transportation. It might be wise to wear comfortable walking shoes and to have a flashlight to make the walk easier by night. The secretariat addresses are as follows: Administration: triay@lcpt.univ-mrs.fr Local Arrangements: gilewicz@cpt.univ-mrs.fr Scientific Program: gvalent@lumimath.univ-mrs.fr Topic #2 ---------- OP-SF NET 13.6 ---------- November 15, 2006 ~~~~~~~~~~~~~~ From: OP-SF NET Editors Subject: Special AMS session on OP-SF There will be a Special Session on Special Functions and Orthogonal Polynomials, organized by Diego Dominici, State University of New York at New Paltz (dominicd@newpaltz.edu ) and Robert S. Maier, University of Arizona (rsm@math.arizona.edu ) the 2007 Spring Western Section Meeting of the American Mathematical Society to be held at Tucson, AZ, April 21-22, 2007 (Saturday - Sunday). See http://www.ams.org/amsmtgs/2135_program_ss15.html#title Topic #3 ---------- OP-SF NET 13.6 ---------- November 15, 2006 ~~~~~~~~~~~~~~ From: OP-SF NET Editors Subject: Kyiv Conference on Nonlinear Mathematical Physics The following information is taken from the conference web site: http://www.imath.kiev.ua/~appmath/conf.html Seventh International Conference: Symmetry in Nonlinear Mathematical Physics June 24-30, 2007 Institute of Mathematics, National Academy of Sciences of Ukraine, Kyiv (Kiev), Ukraine TOPICS to be discussed at this conference include * Geometrical methods in mathematical physics * Lie theory and differential equations * Integrable and nonintegrable systems, solitons, Painleve analysis * Dynamical systems and quantum chaos * Exactly and quasi-exactly solvable models * Supergroups and nonlinear algebraic structures * Lie groups and algebras, representation theory and special functions * q-algebras, quantum groups and noncommutative geometry * Supersymmetry and supergravity, strings and branes * Cosmology and quantum gravity Among the tentative participants are Carl Bender (St. Louis, USA) - Faster than Hermitian quantum mechanics Francesco Calogero (Rome, Italy) - Isochronous systems Jose F. Carinena (Zaragoza, Spain) - Super-integrability preserving deformations of super-integrable systems Peter Clarkson (Kent, UK) - Rational solutions of soliton equations Heinz-Dietrich Doebner (Clausthal, Germany) - Nonlinear evolutions on configurations spaces as consequence of their global structure Michael Eastwood (Adelaide, Australia) - Symmetries and invariant differential pairings Athanassios Fokas (Cambridge, UK) - Integrable nonlinear PDEs in 4+2 and 3+1 Roman Jackiw (Cambridge, USA) - Weyl-invariant dynamics Niky Kamran (Montreal, Canada) - Wave equations in black hole geometries Iosif Khriplovich (Novosibirsk, Russia) - First-order formalism in quantum gravity Anatoliy Klimyk (Kyiv, Ukraine) - Antisymmetric exponential functions and (anti)symmetric multivariate Fourier and trigonometric transforms Tom Koornwinder (Amsterdam, the Netherlands) - Structure relations for bispectral systems Petr Kulish (St. Petersburg, Russia) - Quantum group symmetries of integrable spin chains Peter Leach (Durban, South Africa) - Lie Groups and Quantum Mechanics Franco Magri (Milano, Italy) - to be announced Alexander Mikhailov (Leeds, UK) - to be announced Willard Miller (Minneapolis, USA) - Classification and structure theory for second order superintegrable systems in classical and quantum mechanics Mikhail Olshanetsky (Moscow, Russia) - 4d gauge theories and classical integrable systems Jiri Patera (Montreal, Canada) - Lie algebra image processing in 3D. Applications to brain imaging Vladislav Pukhnachov (Novosibirsk, Russia) - Group analysis of the Navier-Stokes equations Tudor Ratiu (Lausanne, Switzerland) - New integrable geodesic flows on the symplectic group Israel Michael Sigal (Toronto, Canada) - Some mathematical problems in the Ginzburg-Landau theory of superconductivity Alexander Varchenko (Chapel Hill, USA) - The B. and M. Shapiro conjecture in real algebraic geometry and the Bethe ansatz Pavel Winternitz (Montreal, Canada) - Continuous symmetries of difference equations with applications in physics and numerical analysis The deadline for registration isÐ May 24, 200. The registration form details of accommodation. registration, etc and information on previous conferences in the series are available at the web site http://www.imath.kiev.ua/~appmath/conf.html Conference Address: Anatoly Nikitin Institute of Mathematics, National Academy of Sciences of Ukraine 3 Tereshchenkivs'ka Street, Kyiv 4, 01601 Ukraine E-mail: appmath@imath.kiev.ua Fax: +38 044 235 20 10 Phone: +38 044 234 63 22 Topic #4 ---------- OP-SF NET 13.6 ---------- November 15, 2006 ~~~~~~~~~~~~~~ From: Dan Lozier lozier@nist.gov Subject: ICIAM Minisymposium on Web Math A minisymposium "Math on the Web: Content Development and Implementation" is being scheduled for the International Congress on Industrial and Applied Mathematics, to be held in Zurich, July 16-20, 2007. The speakers and their titles are: Frank Olver, Writing and Editing the DLMF Michael Berry, Envisioning Light: Software-Assisted Research in Optical Singularities Robert Miner, Lessons from the Trenches: A Survey of Approaches to Large-Scale Projects Abdou Youssef, Recent Advances in Math Search Bruce Miller, Creating Webs of Math using LaTeX Stephen Watt, Respecting Implicit Semantics in Mathematical Markup Paul Libbrecht, Content-Level Mathematics: Its Use in Learning on the Web Olga Caprotti, Language Technologies for Semantic Markup in Mathematics Topic #5 ---------- OP-SF NET 13.6 ---------- November 15, 2006 ~~~~~~~~~~~~~~ From: OP-SF NET Editors Subject: Terence Tao to receive 2006 SASTRA Ramanujan prize Thanks to Tom Koornwinder for drawing our attention to this news item at http://www.math.ufl.edu/sastra-prize/2006.html TERENCE TAO TO RECEIVE 2006 SASTRA RAMANUJAN PRIZE The 2006 SASTRA Ramanujan Prize will be awarded to Professor Terence Tao of the University of California at Los Angeles (UCLA). This annual prize, which was launched in 2005, is for outstanding contributions to areas of mathematics influenced by the genius Srinivasa Ramanujan. The age limit for the prize has been set at 32 because Ramanujan achieved so much in his brief life of 32 years. The $10,000 prize will be awarded at the International Conference on Number Theory and Combinatorics, Dec 19-22, at SASTRA University in Kumbakonam, India, Ramanujan's hometown. Professor Tao has made path-breaking contributions in number theory, harmonic analysis, representation theory, and partial differential equations. His work has had major impact in combinatorics and ergodic theory as well. In the course of making significant progress on fundamental long-standing problems in these different areas, Tao has collaborated with a wide range of mathematicians. One of Tao's most notable contributions is to the famous Kakeya Problem in higher dimensions, which has major applications in Fourier analysis and partial differential equations. One important aspect of the problem is to determine the fractal dimension of the set generated by rotating a needle in n-dimensional space. In joint work with Nets Katz, Izabella Laba and others, Tao significantly improved all previously known estimates for the fractal dimension using new and surprisingly simple combinatorial ideas in an ingenious way. Another of Tao's outstanding contributions is his joint work with Ben Green on long arithmetic progressions of prime numbers. One of the deepest results in this area is a theorem of the Hungarian mathematician Szemeredi which asserts that any set of positive integers which has positive density will have arbitrarily long arithmetic progressions. Another proof of Szemeredi's theorem using very different ideas was given by 1998 Fields Medallist Timothy Gowers. Szemeredi's theorem does not apply to the primes which, due to their sparseness, have density zero. Nevertheless it was conjectured that there are arbitrarily long arithmetic progressions of prime numbers and this was proved by Tao and Green by combining methods of ergodic theory with the ideas of Gowers. Yet another fundamental contribution of Tao concerns the sum-product problem which is due to the late Paul Erdos, one of the greatest mathematicians of the twentieth century, and his brilliant protege Szemeredi. Roughly speaking, this problem of Erdos and Szemeredi states that either the sumset or the product set of any set of N numbers must be large. Tao was the first to recognize the significance of this problem in combinatorial number theory and harmonic analysis. In collaboration with 1994 Fields Medallist Jean Bourgain and Nets Katz, Tao made important generalizations and refinements of the original Erdos-Szemeredi problem. This "sum-product theory" has become one of the key ingredients in many recent breakthroughs in harmonic analysis and number theory. Tao's work has also provided a fresh look at the properties of wave maps which occur naturally in Einstein's theory of general relativity. In other contributions that have major impact in physics, Tao and collaborators have provided new insights in the theory of Schroedinger equations, which for example, are used to describe the behaviour of light in an optical cable. Finally, in collaboration with Allen Knutson, Tao solved the well-known saturation conjecture in representation theory. Thus, at this very young age of 31, Tao is one of the most versatile mathematicians of our generation. Tao was born in Adelaide, Australia in 1975 and lived there until 1992. He did his BSc (Honours) and MSc at Flinders University of South Australia. He then went to Princeton University in 1992 for his PhD, which he completed in 1996 under the direction of Professor Elias Stein. He received a Sloan Dissertation Fellowship for the final year of his PhD work. He is currently professor at the University of California in Los Angeles. Honours have come in a steady stream to Tao in the past few years. For his fundamental work in analysis, he was the recipient of the Salem Prize in 2000. He also received the Bocher Prize of the American Mathematical Society (AMS) in 2002, and the AMS Conant Prize in 2005. And in August 2006, at the International Congress of Mathematicians in Madrid, Tao was awarded the prestigious Fields Medal. Following that, Tao was awarded the MacArthur Fellowship. Tao emerged as the top choice for the SASTRA Prize from a pool of brilliant young mathematicians from around the world. The international panel of experts who formed 2006 SASTRA Ramanujan Prize Committee are: Chair - Krishnaswami Alladi (University of Florida), George Andrews (The Pennsylvania State University), Manjul Bhargava (Princeton University), James Lepowsky (Rutgers University), Tom Koornwinder (University of Amsterdam), Kannan Soundararajan (University of Michigan and Stanford University), and Michel Waldschmidt (University of Paris). By awarding the first SASTRA Ramanujan Prizes to Manjul Bhargava and Kannan Soundararajan in 2005, an exceptionally high standard was set. This is now continued with the award of the 2006 SASTRA Prize to Terence Tao. Krishnaswami Alladi Chair, 2006 SASTRA Ramanujan Prize Committee University of Florida Topic #6 ---------- OP-SF NET 13.6 ---------- November 15, 2006 ~~~~~~~~~~~~~~ From: OP-SF NET Editors Subject: Alexei Okounkov and special functions Alexei Okounkov, who was awarded on of the 2006 Fields medals is known for his work in representation theory, probability theory, and algebraic geometry. Among his many publications, he has about ten papers dealing with special functions, mostly in the second half of the nineties, and notably on Jack and Macdonald polynomials and their shifted versions. (Thanks to Tom Koornwinder for this information.) Topic #7 ---------- OP-SF NET 13.6 ---------- November 15, 2006 ~~~~~~~~~~~~~~ From: Tom Koornwinder thk@science.uva.nl Subject: Book on Jack, Hall-Littlewood and Macdonald Polynomials The following information is from the web site: http://www.ams.org/bookstore?fn=20&arg1=conmseries&item=CONM-417 Jack, Hall-Littlewood and Macdonald Polynomials Edited by: Vadim B. Kuznetsov, and Siddhartha Sahi, Rutgers University, New Brunswick, NJ American Mathematical Society Contemporary Mathematics, Volume: 417 2006; 360 pp; softcover ISBN-10: 0-8218-3683-8 ISBN-13: 978-0-8218-3683-5 List Price: US$99; AMS Member Price: US$79 "The subject of symmetric functions began with the work of Jacobi, Schur, Weyl, Young and others on the Schur polynomials. In the 1950's and 60's, far-reaching generalizations of Schur polynomials were obtained by Hall and Littlewood (independently) and, in a different direction, by Jack. In the 1980's, Macdonald unified these developments by introducing a family of polynomials associated with arbitrary root systems. "The last twenty years have witnessed considerable progress in this area, revealing new and profound connections with representation theory, algebraic geometry, combinatorics, special functions, classical analysis and mathematical physics. All these fields and more are represented in this volume, which contains the proceedings of a conference on "Jack, Hall-Littlewood and Macdonald polynomials" held at ICMS, Edinburgh, during September 23-26, 2003. "In addition to new results by leading researchers, the book contains a wealth of historical material, including brief biographies of Hall, Littlewood, Jack and Macdonald; the original papers of Littlewood and Jack; notes on Hall's work by Macdonald; and a recently discovered unpublished manuscript by Jack (annotated by Macdonald). The book will be invaluable to students and researchers who wish to learn about this beautiful and exciting subject." Readership: Research mathematicians interested in algebraic combinatorics. Table of Contents Part 1. Historic Material * B. D. Sleeman -- Henry Jack 1917-1978 * A. O. Morris -- Philip Hall * A. O. Morris -- Dudley Ernest Littlewood * A. O. Morris -- Ian Macdonald * I. G. Macdonald -- The algebra of partitions * D. E. Littlewood -- On certain symmetric functions * H. Jack -- A class of symmetric polynomials with a parameter * H. Jack -- A class of polynomials in search of a definition, or the symmetric group parametrized * I. G. Macdonald -- Commentary on the previous paper * H. Jack, G. de B. Robinson, and W. N. Everitt -- First letter from Henry Jack to G. de B. Robinson/Second letter reply from G. de B. Robinson to Henry Jack/Third letter from W. N. Everitt to G. de B. Robinson Part 2. Research Articles * H. Coskun and R. A. Gustafson -- Well-poised Macdonald functions $W_{\lambda}$ and Jackson coefficients $\omega_\lambda$ on $BC_n$ * J. F. van Diejen -- Asymptotics of multivariate orthogonal polynomials with hyperoctahedral symmetry * P. Etingof and A. Oblomkov -- Quantization, orbifold cohomology, and Cherednik algebras * B. Ion and S. Sahi -- Triple groups and Cherednik algebras * M. Kasatani, T. Miwa, A. N. Sergeev, and A. P. Veselov -- Coincident root loci and Jack and Macdonald polynomials for special values of the parameters * T. H. Koornwinder -- Lowering and raising operators for some special orthogonal polynomials * V. B. Kuznetsov and E. K. Sklyanin -- Factorization of symmetric polynomials * E. Langmann -- A method to derive explicit formulas for an elliptic generalization of the Jack polynomials * M. Lassalle -- A short proof of generalized Jacobi-Trudi expansions for Macdonald polynomials * A. Okounkov and G. Olshanski -- Limits of $BC$-type orthogonal polynomials as the number of variables goes to infinity * E. M. Rains -- A difference-integral representation of Koornwinder polynomials * M. Schlosser -- Explicit computation of the $q,t$-Littlewood-Richardson coefficients * V. P. Spiridonov -- A multiparameter summation formula for Riemann theta functions Part 3. Vadim Borisovich Kuznetsov 1963-2005 * B. D. Sleeman and E. K. Sklyanin -- Vadim Borisovich Kuznetsov 1963-2005 Topic #8 ---------- OP-SF NET 13.6 ---------- November 15, 2006 ~~~~~~~~~~~~~~ From: Mourad Ismail ismail@math.ucf.edu Subject: Corrections to book on orthogonal polynomials Some corrections to the book "Classical and Quantum Orthogonal Polynomials in one Variable", Cambridge University Press, 2005, announced in OP-SF NET 12.6, Topic #6, are to be found at http://math.ucf.edu/~ismail/ismail_files/Cambridgeerrata.pdf Topic #9 ---------- OP-SF NET 13.6 ---------- November 15, 2006 ~~~~~~~~~~~~~~ From: OP-SF NET Editors Subject: Article on F. V. Atkinson We draw attention to the article Angelo B. Mingarelli, A glimpse into the life and times of F. V. Atkinson, Mathematische Nachrichten, vol. 278 (2005), 1364-1387. This gives a very complete and moving account of Atkinson (1916-2002) and his work including fundamental results on orthogonal polynomials and spectral theory of ordinary differential equations. Topic #10 ---------- OP-SF NET 13.6 ---------- November 15, 2006 ~~~~~~~~~~~~~~ From: Dan Lozier lozier@nist.gov Subject: New Public Web Site for the DLMF The Digital Library of Mathematical Functions is being created as a Web and hardcopy replacement for the Abramowitz and Stegun Handbook of Mathematical Functions. It will contain almost 40 chapters presenting useful properties of special functions and describing essential methods for working with the functions. The Web version will include interactive graphics, links to available software, a search capability based on mathematical queries, and many other special features. Public release is planned in 2007. A public Web site, http://dlmf.nist.gov , has existed since project inception. Tremendous progress has been made recently in refining the Web capabilities and making them user-friendly. Most of the current capabilities of the NIST internal Web site are accessible now at http://dlmf.nist.gov/Contents , together with a new sample chapter on the gamma and related functions. Everyone is invited to have a look and use the feedback links to send comments to the project leaders. The DLMF is a project of the National Institute of Standards and Technology with external funding provided by the National Science Foundation. Its contributors include approximately 50 authors and validators from outside NIST. Topic #11 ---------- OP-SF NET 13.6 ---------- November 15, 2006 ~~~~~~~~~~~~~~ From: J. M. Littleton Littleton@siam.org Subject: Call for Nominations - W. T. and Idalia Reid Prize CALL FOR NOMINATIONS - W. T. and Idalia Reid Prize The W. T. and Idalia Reid Prize is awarded 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. The prize will be awarded at the 2007 SIAM Conference on Control and Its Applications (CT07) to be held June 29 - July 1, 2007, in San Francisco, California. The award consists of an engraved medal and a $10,000 cash prize. The prize recipient is requested to present a lecture at the meeting. SIAM will reimburse reasonable travel expenses for the recipient to attend the meeting and give the lecture. Nominations, including a description of achievement(s), should be addressed to Professor H. T. Banks, Chair, W. T. and Idalia Reid Prize Committee and sent by NOVEMBER 30, 2006, to J. M. Littleton at littleton@siam.org . Inquiries should be addressed to littleton@siam.org . Complete calls for nominations for SIAM prizes can be found at www.siam.org/prizes/nominations.php . Topic #12 ---------- OP-SF NET 13.6 ---------- November 15, 2006 ~~~~~~~~~~~~~~ From: OP-SF NET Editors Subject: New developments for Journal of Physics A The following is extracted from an email from Carl Bender jphysa@iop.org . We would like to tell you about some forthcoming changes happening in Journal of Physics A (JPA) in 2007. As you know, JPA is a journal of theoretical physics focusing on sophisticated mathematical and computational techniques. From issue 1 of 2007 the journal will change its title to Journal of Physics A: Mathematical and Theoretical to better reflect the nature, scope and spirit of the research we publish. We are also pleased to announce that the journal is launching a brand new article type entitled Fast Track Communications: Short Innovative Papers (FTCs). FTCs will announce important new results in mathematical and theoretical physics and are free from the constraint of 'general interest'. Full details about Fast Track Communications will be available on the journal website soon at http://www.iop.org/EJ/journal/JPhysa . If you would like to know more about these developments, you can also read an announcement by Carl Bender and Neil Scriven online at http://herald.iop.org/jpa.dev/m81/ayc/200185/link/412 . For further information about these changes or any other aspect of the journal, please do not hesitate to contact Neil Scriven at neil.scriven@iop.org . Carl Bender, Washington University, St Louis, MO, USA Editor-in-Chief, Journal of Physics A: Mathematical and General and Neil Scriven, Publisher, Journal of Physics A: Mathematical and General http://www.iop.org/ej/journal/jphysa Topic #13 ---------- OP-SF NET 13.6 ---------- November 15, 2006 ~~~~~~~~~~~~~~ From: OP-SF NET Editors Subject: Preprints in arXiv.org The following preprints related to the fields of orthogonal polynomials and special functions were posted or cross-listed to one of the subcategories of arXiv.org during September and October 2006. 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 [The list below was inadvertently omitted from the version of OP-SF NET mailed to members of the Activity Group on November 16, 2006.] http://www.arxiv.org/abs/math.CA/0609023 Title: Fourth-order Bessel-type special functions: a survey Authors: W. N. Everitt Subj-class: Classical Analysis and ODEs MSC-class: 33C10; 34B05; 34L05 http://www.arxiv.org/abs/math.NT/0609086 Title: p-adic q-expansion of alternating sums of powers Authors: Taekyun Kim Comments: 12 pages Subj-class: Number Theory MSC-class: 11S80, 11B68, 11m98 http://www.arxiv.org/abs/math.CA/0609094 Title: Pade and Hermite-Pade approximation and orthogonality Authors: Walter Van Assche Comments: 31 pages Subj-class: Classical Analysis and ODEs; Numerical Analysis MSC-class: 41A21; 41A28; 42C05; 33C45 Journal-ref: Surveys in Approximation Theory 2 (2006), 61-91 http://www.arxiv.org/abs/math.CA/0609196 Title: Hyperbolic Schwarz map for the hypergeometric differential equation Authors: Takeshi Sasaki, Kotaro Yamada, Masaaki Yoshida Comments: 16 pages, 8 figures Subj-class: Classical Analysis and ODEs MSC-class: 33C05, 53C42 http://www.arxiv.org/abs/math.NT/0609283 Title: Fibonacci numbers and orthogonal polynomials Authors: Christian Berg Subj-class: Number Theory; Classical Analysis and ODEs MSC-class: 11B39;33D45 http://www.arxiv.org/abs/math.PR/0609442 Title: Convexity of the median in the gamma distribution Authors: Christian Berg, Henrik L. Pedersen Subj-class: Probability; Classical Analysis and ODEs MSC-class: 60E05;41A60;33B15 http://www.arxiv.org/abs/math.FA/0609451 Title: Asymptotics of the Airy-kernel determinant Authors: P. Deift, A. Its, I. Krasovsky Comments: 41 pages, 6 figures Subj-class: Functional Analysis; Mathematical Physics http://www.arxiv.org/abs/math.CO/0609596 Title: Some identities and formulas involving generalized Catalan numbers Authors: Siu-Ah Ng Comments: 19 pages, 7 figures Subj-class: Combinatorics http://www.arxiv.org/abs/math.NT/0609775 Title: On Plouffe's Ramanujan Identities Authors: Linas Vepstas Comments: 16 pages, 3 figures Subj-class: Number Theory; Combinatorics MSC-class: 11M06 http://www.arxiv.org/abs/math.NT/0609799 Title: Multiple series connected to Hoffman's conjecture on multiple zeta values Authors: Stephane Fischler Comments: 22 pages Subj-class: Number Theory MSC-class: 33C20, 33C70, 11M06, 11J20, 11J72 http://www.arxiv.org/abs/gr-qc/0609020 Title: Introduction to spectral methods Authors: Philippe Grandclement (LUTH) Comments: 20 pages, 15 figures Subj-class: General Relativity and Quantum Cosmology; Spectral Theory; Computational Physics Journal-ref: Stellar fluid dynamics and numerical simulations: from the sun to neutron stars, France (2006) 153 http://www.arxiv.org/abs/math-ph/0609035 Title: Criterion for polynomial solutions to a class of linear differential equation of second order Authors: Nasser Saad, Richard L. Hall, Hakan Ciftci Comments: 12 pages Subj-class: Mathematical Physics MSC-class: 34B40; 81Q05; 81Q15 http://www.arxiv.org/abs/math-ph/0609087 Title: Iterative solution of differential equations Authors: Paolo Amore, Hakan Ciftci, Francisco M. Fernandez Comments: 12 pages Subj-class: Mathematical Physics http://www.arxiv.org/abs/nlin.SI/0609007 Title: Single polymer dynamics in elongational flow and the confluent Heun equation Authors: D. Vincenzi, E. Bodenschatz Comments: 9 pages, 6 figures Subj-class: Exactly Solvable and Integrable Systems; Mathematical Physics; Soft Condensed Matter Journal-ref: J. Phys. A: Math. Gen., vol. 39, pp. 10691-10701 (2006) http://www.arxiv.org/abs/math.NT/0610108 Title: The Continuing Story of Zeta Authors: Graham Everest, Christian Roettger, Tom Ward Comments: Extra references added Subj-class: Number Theory; General Mathematics MSC-class: 11M06 http://www.arxiv.org/abs/math.CA/0610109 Title: On Erd\'{e}lyi-Magnus-Nevai conjecture for Jacobi polynomials Authors: Ilia Krasikov Subj-class: Classical Analysis and ODEs MSC-class: 33C45 http://www.arxiv.org/abs/math.CA/0610111 Title: An upper bound on Jacobi polynomials Authors: Ilia Krasikov Subj-class: Classical Analysis and ODEs MSC-class: 33C45 http://www.arxiv.org/abs/math.CA/0610128 Title: A matrix Rodrigues formula for classical orthogonal polynomials in two variables Authors: A. Alvarez de Morales, L. Fernandez, T. E. Perez, M. A. Pi–ar Comments: 17 pages Subj-class: Classical Analysis and ODEs MSC-class: 42C05 (Primary) 33C50 (Secondary) http://www.arxiv.org/abs/math.CA/0610153 Title: A semiclassical perspective on multivariate orthogonal polynomials Authors: M. Alvarez de Morales, L. Fernandez, T. E. Perez, M. A. Pi–ar Comments: 10 pages Subj-class: Classical Analysis and ODEs MSC-class: 42C05 (Primary) 33C50 (Secondary) http://www.arxiv.org/abs/math.CO/0610185 Title: Actions on permutations and unimodality of descent polynomials Authors: Petter Branden Comments: 18 pages Subj-class: Combinatorics MSC-class: 06A0; 05A05; 05E99;13F55 http://www.arxiv.org/abs/math.CA/0610191 Title: Asymptotics of a ${}_3F_2$ polynomial associated with the Catalan-Larcombe-French sequence Authors: Nico M. Temme Comments: 10 pages, 1 figure. Accepted for publication in {\em Analysis and Applications} Subj-class: Classical Analysis and ODEs MSC-class: 41A60; 33C20; 11B83; 33C10 http://www.arxiv.org/abs/math.NT/0610281 Title: Gaussian hypergeometric series and extensions of supercongruences Authors: Robert Osburn, Carsten Schneider Comments: 28 pages Subj-class: Number Theory MSC-class: 11F33, 33F10, 11S80 http://www.arxiv.org/abs/math.CA/0610471 Title: Random Matrix Theory and the Sixth Painlev\'e Equation Authors: P.J. Forrester, N.S. Witte Comments: Dedicated to the centenary of the publication of the Painlev\'e VI equation in the Comptes Rendus de l'Academie des Sciences de Paris by Richard Fuchs in 1905 Subj-class: Classical Analysis and ODEs; Mathematical Physics MSC-class: 05E35; 39A05; 37F10; 33C45; 34M55 Journal-ref: J. Phys. A: Math. Gen. {\bf 39}, 12211-12233 (2006) http://www.arxiv.org/abs/math.CV/0610479 Title: Difference independence of the Riemann zeta function Authors: Yik-Man Chiang, Shaoji Feng Comments: To appear in Acta Arithmetica Subj-class: Complex Variables; Number Theory MSC-class: 10H05, 30D35 http://www.arxiv.org/abs/math.CA/0610499 Title: The generalized-Euler-constant function $\gamma(z)$ and a generalization of Somos's quadratic recurrence constant Authors: Jonathan Sondow, Petros Hadjicostas Comments: 26 pages, 2 figures, to appear in J. Math. Anal. Appl Subj-class: Classical Analysis and ODEs; Number Theory MSC-class: 11M35, 11Y55, 11Y60, 33B15, 33B30, 40A05, 40A20 http://www.arxiv.org/abs/math.CO/0610546 Title: Finite q-identities related to well-known theorems of Euler and Gauss Authors: Johann Cigler Comments: 10 pages Subj-class: Combinatorics MSC-class: 05A30; 11B65 http://www.arxiv.org/abs/math.CA/0610673 Title: Special Solutions of the Sixth Painleve Equation with Solvable Monodromy Authors: Kazuo Kaneko, Shoji Okumura Comments: 15 pages, 6 figures Subj-class: Classical Analysis and ODEs MSC-class: 34M55; 33E17 http://www.arxiv.org/abs/math.MG/0610856 Title: Semidefinite programming, multivariate orthogonal polynomials, and codes in spherical caps Authors: Christine Bachoc, Frank Vallentin Comments: 14 pages Subj-class: Metric Geometry; Combinatorics MSC-class: 52C17, 90C22 http://www.arxiv.org/abs/math.CA/0610953 Title: Controllability of the Laguerre and the Jacobi Equations Authors: Diomedes Barcenas, Hugo Leiva, Yamilet Quintana, Wilfredo Urbina Comments: 10 pages Subj-class: Classical Analysis and ODEs; Analysis of PDEs MSC-class: 93B05; 93C25 http://www.arxiv.org/abs/math.SP/0610987 Title: Zeros of OPUC and Long Time Asymptotics of Schur and Related Flows Authors: Barry Simon Subj-class: Spectral Theory MSC-class: 05E25; 37K10; 39A11 http://www.arxiv.org/abs/math.SP/0610989 Title: Poisson Brackets of Orthogonal Polynomials Authors: Maria Jose Cantero, Barry Simon Subj-class: Spectral Theory MSC-class: 05E25; 37K10; 53D17 http://www.arxiv.org/abs/math-ph/0610071 Title: Nonlinear Integral-Equation Formulation of Orthogonal Polynomials Authors: Carl M. Bender, E. Ben-Naim Comments: 7 pages Subj-class: Mathematical Physics http://www.arxiv.org/abs/math-ph/0610079 Title: Examples of Feynman-Jackson integrals Authors: Rafael Diaz, Eddy Pariguan Comments: 5 figures, 10 pages Subj-class: Mathematical Physics http://www.arxiv.org/abs/nlin.SI/0610048 Title: Hypergeometric solutions to ultradiscrete Painleve equations Authors: Chris M. Ormerod Comments: 10 pages, 2 figures Subj-class: Exactly Solvable and Integrable Systems http://www.arxiv.org/abs/nlin.SI/0610058 Title: Relations for zeros of special polynomials associated to the Painleve equations Authors: Nikolai A. Kudryashov, Maria V. Demina Comments: 17 pages, 5 figures Subj-class: Exactly Solvable and Integrable Systems Topic #14 ---------- OP-SF NET 13.6 ---------- November 15, 2006 ~~~~~~~~~~~~~~ From: OP-SF NET Editors 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 Editors are Diego Dominici (dominicd@newpaltz.edu) and 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 #15 ---------- OP-SF NET 13.6 ---------- November 15, 2006 ~~~~~~~~~~~~~~ From: OP-SF NET Editors 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 one of the OP-SF Editors dominicd@newpaltz.edu or muldoon@yorku.ca . Contributions to OP-SF NET 14.1 should be sent by January 1, 2007. 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: Diego Dominici, OP-SF NET co-editor Martin Muldoon, OP-SF NET co-editor Bonita Saunders, Webmaster o - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - o