January 15, 2001 O P - S F N E T Volume 8, 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. Workshop on Special Functions at FoCM'02 2. Conference "Applications of the Macdonald Polynomials" 3. OPSFA Symposium - Rome 4. Ian Sneddon Obituary 5. New book on Fourier Analysis 6. New book on Orthogonal Polynomials and Random Matrices 7. OP-SF preprints in xxx archive 8. About the Activity Group 9. Submitting contributions to OP-SF NET and Newsletter Calendar of Events: February 15-19: International Conference on Analytic Methods of Analysis and Differential Equations, Minsk, Belarus 7.6 #2 April 17-20: Conference "Applications of the Macdonald Polynomials", Newton Institute, Cambridge, UK 7.5 #2, 8.1 #2 June 18-22: Symposium on Orthogonal Polynomials, Special Functions and Applications, Rome, Italy 7.3 #2, 8.1 #2 June 25 - July 6: Workshop "The Macdonald Polynomials", Newton Institute, Cambridge, UK 7.5 #2 July 2-12: Summer School on Applied Analysis, Hong Kong 7.5 #3 July 9-13: SIAM Annual Meeting, San Diego, California, USA See: http://www.siam.org/meetings/an01/ July 9-22: Summer School in Asymptotic Combinatorics, St. Petersburg, Russia 7.6 #3 August 6-10: Analytic theory of continued fractions, orthogonal functions and related topics, Grand Junction, Colorado, USA 7.4 #5 August 20-24: 3rd International meeting on Approximation Theory, Dortmund, Germany 7.4 #6 October 1-5: "Numerical Algorithms", Conference in Honor of Claude Brezinski, Marrakesh, Morocco 7.3 #3 2002 July 22 - August 2: IMA Summer Program "Special Functions in the Digital Age" Minneapolis, Minnesota, USA See: http://www.ima.umn.edu/digital-age/ August 5-14: Workshop on Special Functions at FoCM'02, "Foundations of Computational Mathematics" Minneapolis, Minnesota, USA 8.1 #1 Future plans: * There are plans to organize summer schools on "Orthogonal Polynomials and Special Functions" in Europe during the coming three years: - 2001 (probably September): in Germany (contact person: Rupert Lasser ) - 2002 : in the Netherlands or Belgium (contact person: Erik Koelink ). - 2003 (time undecided): in Portugal (contact person: Amilcar Branquinho). The coordinator of the three summer schools is Erik Koelink (koelink@twi.tudelft.nl). These summer schools are part of our Activity Group's scientific program. The scientific committee consists of Erik Koelink, Rupert Lasser, Amilcar Branquinho, Paco Marcellan and Walter Van Assche. Topic #1 ------------ OP-SF NET 8.1 -------------- January 15, 2001 ~~~~~~~~~~~~~ From: Tom Koornwinder Subject: Workshop on Special Functions at FoCM'02 A workshop on Special Functions will be organized by Tom Koornwinder and Adri Olde Daalhuis at the conference FoCM'02 at the IMA, Minneapolis, MN, USA, 5-14 August 2002. This workshop, one of nineteen workshops during this conference, will run for 3 successive afternoons during 5-7 August 2002 (Monday - Wednesday). This will be immediately after the IMA 2002 Summer Program "Special Functions in the Digital Age" at the IMA in Minneapolis, 22 July - 2 August 2002. Talks in the workshop are by invitation, but feel free to contact the workshop organizers if you wish to present a talk. Further information will appear on webpage http://www.science.uva.nl/~thk/FoCM02/ Tom Koornwinder (thk@science.uva.nl) Adri Olde Daalhuis (adri@maths.ed.ac.uk) Topic #2 ------------ OP-SF NET 8.1 -------------- January 15, 2001 ~~~~~~~~~~~~~ From: OP-SF NET Editor Subject: EuroConference: Applications of the Macdonald Polynomials This inforamtion is taken from the web site: http://www.newton.cam.ac.uk/programs/SFM/sfmw02.html Isaac Newton Institute for Mathematical Sciences, Cambridge, UK EuroConference APPLICATIONS OF THE MACDONALD POLYNOMIALS 17 – 20 April 2001 Organisers: B. Leclerc, M. Nazarov, M. Noumi, J.-Y. Thibon Topics/Theme of Conference: Macdonald polynomials and related special functions in mathematical physics, harmonic analysis, and representation theory. In particular: classical and quantum many-body problems, integrable models in statistical physics and quantum field theory, quantum symmetric spaces, deformations of Virasoro and W algebras, quantum Knizhnik-Zamolodchikov equations. Speakers: H. Awata, J.-F. van Diejen, C. Dunkl, J. Faraut, P. Forrester, K. Hasegawa, G. Heckman, N. Jing, T. Koornwinder, K. Mimachi, S. Odake, E. Opdam, S. Ruijsenaars, J. Shiraishi, J. Stokman, V. Tarasov. Location and Cost: The EuroConference will take place at the Newton Institute and accommodation for participants will be provided in single study bedrooms at Wolfson Court, a hall of residence adjacent to the Institute. The workshop package costs £300, which includes registration fee, accommodation, breakfast and dinner from dinner on Monday 16 April until breakfast on Saturday 21 April 2001, and lunches and refreshments on the days that lectures take place. Please note: Due to the Easter Holiday, Accommodation at Wolfson Court is only available from Monday 16 April until breakfast on Saturday 21 April 2001. If you require additional nights’ accommodation before of after this period you will need to arrange this. A list of nearby Bed and Breakfast accommodation and Hotels is available. [See web site.] The EuroConference is supported by the European Community and funding is available to support some young researchers. It is intended for nationals of EC Member States and of Iceland, Liechtenstein, Norway, Israel, Bulgaria, Cyprus, Czech Republic, Estonia, Hungary, Latvia, Lithuania, Poland, Romania, Slovakia, Slovenia and Switzerland, who must all be under 35 years of age. Self-supporting participants of any age and nationality are welcome to apply. Applications Forms: Completed application forms [see web site] should be sent to Tracey Andrew, Programme and Conference Secretary, Isaac Newton Institute for Mathematical Sciences, 20 Clarkson Road, Cambridge, CB3 0EH, UK, or via email to: t.andrew@newton.cam.ac.uk Extended Closing date: for receipt of applications is 31 January 2001 Tentative Program: Tuesday 17 April 09.00-10.00 Registration 10.00-11.00 P Forrester (Melbourne) Jack polynomials and the calculation of correlation functions in many body systems I 11.00-11.30 Coffee 11.30-12.30 H Awata (Nagoya) Deformed Virasoro algebras and related topics I 12.30-14.00 Lunch at the Centre for Mathematical Sciences 14.00-15.00 C Dunkl (Virginia) Spherical harmonics of type B and generalized binomial coefficients 15.00-16.00 J Faraut (Marie Curie) A Ramanujan formula for spherical Fourier series 16.00-16.30 Tea 16.30-17.30 K Hasegawa (Tohoku) Deforming Noumi-Yamada's realization of Weyl group as rational transformations 17.30-18.30 Welcome Wine Reception Wednesday 18 April 10.00-11.00 P Forrester (Melbourne) Jack polynomials and the calculation of correlation functions in many body systems II 11.00-11.30 Coffee 11.30-12.30 S Odake (Shinshu) Deformed Virasoro algebras and related topics II 12.30-14.00 Lunch at the Centre for Mathematical Sciences 14.00-15.00 G Heckman (Nijmegen) The moduli space of rational elliptic surfaces 15.00-16.00 N Jing (Nijmegen) Vertex representations and McKay correspondence 16.00-16.30 Tea 16.30-17.30 V Kuznetsov (Leeds) On separation of variables for Schur polynomials Thursday 19 April 10.00-11.00 M Olshanetsky (Moscow) Multicomponent Painleve type equations and classical integrable many-body systems 11.00-11.30 Coffee 11.30-12.30 J Shiraishi (Tokyo) Deformed Virasoro algebras and related topics III 12.30-14.00 Lunch at the Centre for Mathematical Sciences 14.00-15.00 V Tarasov (Steklov) Difference equations compatible with the Knizhnik-Zamolodchikov differential equations 15.00-16.00 J Stokman (Amsterdam) Gaussians associated with Macdonald-Koornwinder polynomials 16.00-16.30 Tea 16.30-17.30 E Opdam (Amsterdam) to be announced 19.30- . Conference Dinner - Christ's College Friday 20 April 10.00-11.00 J-F Van Diejen (Chile) Elliptic Selberg integrals and applications 11.00-11.30 Coffee 11.30-12.30 S Ruijsenaars (CWI) to be announced 12.30-14.00 Lunch at the Centre for Mathematical Sciences 14.00-15.00 K Mimachi (Kyushu) A Cauchy formula for the Macdonald-Koornwinder polynomials and its applications 15.00-16.00 T Koornwinder (Amsterdam) to be announced 16.00-16.00 Tea Topic #3 ------------ OP-SF NET 8.1 -------------- January 15, 2001 ~~~~~~~~~~~~~ From: Organizing Committee Subject: OPSFA - Roma [This is an edited version of the Second Circular which appears at the new web site: http://web2.mat.uniroma3.it/opsfa2001/] SIXTH INTERNATIONAL SYMPOSIUM ON ORTHOGONAL POLYNOMIALS, SPECIAL FUNCTIONS AND APPLICATIONS (OPSFA), ROMA - ITALY, JUNE 18 - 22, 2001 SECOND CIRCULAR Dear colleague, The Department of Mathematics of the University Roma Tre and the Department of Mathematics "Guido Castelnuovo" of the University of Roma "La Sapienza" are delighted to organize the Sixth international Symposium on Orthogonal Polynomials, Special Functions and their applications (OPSFA), which will be held for the first time in Roma on June 18 - 22, 2001. Since we received many preregistration forms, we expect about 200 scientists from all over the world. The Symposium is partially granted by C.N.R. - G.N.I.M. (National Research Council - National Group for Mathematical Informatics). As we wrote in the old web page, the Symposium will take place in a great hotel situated at Lido di Ostia, which is a seaside resort on the outskirts of Roma; all participants will be lodged in the same hotel, and will be freely transported from and to the International Airport "Leonardo da Vinci" of Fiumicino (which is a few km away) by the hotel's bus. Also, it is easy to reach the centre of Roma from the Symposium site, since a new train station (Lido di Ostia Nord) was opened near the hotel just a few months ago. Anyway, participants which do not want to go to Roma may also find a very pleasant environment in Ostia. We look forward to seeing you in Roma next June. SCOPE, TOPICS AND PROGRAM The 6th International Symposium OPSFA follows the European Conferences of Bar-Le-Duc (France, 1984), Segovia (Spain, 1986), Erice (Italy, 1990), Granada (Spain, 1991, VII SPOA), Evian (France, 1992), Delft (Holland, 1994, in honour of Thomas Jan Stieltjes Jr. (1856-1894)), Sevilla (Spain, 1997, VIII SPOA) and Patra (Greece, 1999, in honour of Theodore Chihara). It covers the field of orthogonal polynomials and special functions and their applications in the other areas of mathematics, physics and other sciences. This Symposium is a forum for presentation and discussion of all aspects of orthogonal polynomials and special functions, ranging from the fundamental to the applied. The aim of the Symposium is to provide a common meeting ground for specialists in orthogonal polynomials, special functions and related topics, such as moment problems, rational approximation, matrix orthogonal polynomials, Sobolev orthogonal polynomials as well as in the rich variety of scientific applications of these objects. The scientific program includes plenary lectures and research seminars. An approximate timetable will be given in the third circular, which will be sent to all those who register for the Symposium. The final program will be distributed at the registration desk on June 17 (Sunday). INVITED SPEAKERS There will be 8 plenary lectures and about 100 research seminars or contributed talks organized into parallel sessions. The time assigned for a plenary lecture is 60 minutes (50 minutes for presentation and 10 minutes for discussion); research seminars are assigned 25 minutes (20 minutes for presentation and 5 minutes for discussion). All participants are invited to submit a 25-minute research seminar; please send us a short abstract (not more than 15 - 20 lines) of your talk in TEX or LATEX format not later than March 31, 2001. The invited speakers are: R. Askey (University of Wisconsin - USA) C. Dunkl (University of Virginia - USA) À. Elbert (Academy of Sciences Budapest - Hungary) D. Sattinger (Utah State University - USA) D. Stanton (University of Minnesota - USA) S. K. Suslov (Arizona State University - USA) N. Temme (C.W.I. - Netherlands) W. Van Assche (K.U. Leuwen - Belgium) Invited speakers are also requested to send a one page abstract of their plenary lecture in TEX or LATEX format not later than March 31, 2001. PUBLICATIONS The book of abstracts will be distributed to the participants upon registration at the Symposium desk. The proceedings of the Symposium will be published on an important international mathematics journal (more details will be given in the third circular). REGISTRATION FEES Please complete the registration form at the web site http://web2.mat.uniroma3.it/opsfa2001/ and return it before February 15, 2001 via Internet. You may also send it via air mail to the Symposium mailing address: Sixth International Symposium on Orthogonal Polynomials, Special Functions and their Application Dipartimento di Matematica Università Roma Tre Largo S. Leonardo Murialdo, 1 00146 ROMA (Italy) tel. ++390654888025, ++390654888008; fax ++390654888072. In case of difficulty email us at the address opsfa2001@mat.uniroma3.it . The following fees are applicable for the Symposium: Participants: Euro 280.00 Students (under formal verification): Euro 120.00 After February 15, all participants and students (not accompanying persons) must pay an additional fee of Euro 60.00 for late registration. Accompanying persons Euro: 120.00 Participant's and student's fee includes: transportation from the airport "Leonardo da Vinci" to the hotel and vice versa; admission to the Symposium; Symposium documents; book of abstracts; Symposium Proceedings; official reception / welcome drink; lunch in the hotel from Tuesday to Friday; guided visit to Roma's surroundings; other social events being studied. Accompanying person's fee includes: transportation from the airport "Leonardo da Vinci" to the hotel and vice versa; official reception / welcome drink; guided visit to Roma's surroundings; other social events being studied. Cancellation must be made in writing to the Organizing Committee. The following rules will apply: cancellation received before April 15, 2001: 80% refund; cancellation received before May 25, 2001: 50% refund; cancellation received from May 25, 2001 on: no refund. ACCOMMODATION All the participants will be lodged at the hotel SATELLITE PALACE - Via delle Antille, 19 - 00121 Roma (Italy). The prices that we have arranged for the Symposium are: single room: 180,000 lire (Euro 92.96) per day double room: 240,000 lire (Euro 123.95) per day triple room: 330,000 lire (Euro 170.43) per day. The registration fee of participants and students will include lunch (from Monday 18 to Friday 22) and the Conference banquet. Participants are asked to contact the hotel directly in order to book rooms: tel.: ++390656183 fax: ++39065695993 or ++39065692341 e-mail: satellitepalace@tin.it OFFICIAL INVITATIONS In special cases, the Organizing Committee will send a personal invitation for participation to the Symposium. It should be understood that such an invitation is not a commitment on the part of the organizers to provide any financial support. DEADLINES Registration must be received before February 15, 2001. After sending the form, please pay your registration fee as soon as possible. Abstracts of plenary lectures and of research seminars must be received before March 31, 2001. SCIENTIFIC COMMITTEE : A. Laforgia (Università Roma Tre, Italy); P. E. Ricci (Università "La Sapienza", Roma, Italy); M. De Bruin (University of Delft, Netherlands); F. Marcellan (Universidad Carlos III, Madrid, Spain); P. D. Siafarikas (University of Patras, Greece); M. Muldoon (York University, Canada); R. Wong (City University of Hong Kong, China). LOCAL ORGANIZING COMMITTEE: Andrea Laforgia laforgia@mat.uniroma3.it Paolo Emilio Ricci Paoloemilio.Ricci@uniroma1.it Pierpaolo Natalini natalini@mat.uniroma3.it Biagio Palumbo palumbo@mat.uniroma3.it Fabrizio Pascucci poggi@uniroma3.it Technical support: Tiziana Manfroni FURTHER COMMUNICATIONS The third (and last) circular will be sent in May only to those who send the registration form. You are requested to register as soon as possible. If you need further information please write an e-mail message to the Secretary of the Symposium, at the address opsfa2001@mat.uniroma3.it, or contact one of us directly (see e-mail addresses above). Topic #4 ------------ OP-SF NET 8.1 -------------- January 15, 2001 ~~~~~~~~~~~~~ From: Adam McBride Subject: Ian Sneddon Obituary PROFESSOR I.N.SNEDDON, OBE, FRS, FRSE (1919-2000) Ian Naismith Sneddon, formerly Simson Professor of Mathematics in the University of Glasgow, died suddenly on 4 November 2000, aged 80. Ian Sneddon was born in Glasgow and gained a First Class honours degree in Mathematics and Natural Philosophy at the University of Glasgow in 1940. He then headed off to Cambridge and did Part II of the Tripos. However, the normal progression was interrupted because of the Second World War and he went to the Armaments Research and Development Establishment at Fort Halstead. There he met the eminent physicist Nevill (later Sir Nevill) Mott and their collaboration continued after the War, leading to the publication of a book on Wave Mechanics. By that time, Ian had returned to Glasgow to take up a lectureship in Natural Philosophy. He was awarded a DSc in 1948. His interests were gradually moving from theoretical physics to classical applied mathematics. In 1950, aged just 30, he was appointed the first Professor of Mathematics at what was later to become the University of Keele. However, Ian's heart was always in Glasgow and in 1956 he was appointed to the new Simson Chair of Mathematics (named after the geometer Robert Simson who is commemorated by the Simson Line of a triangle). From then until the end of his days, Ian served the University of Glasgow with great distinction, continuing as an Honorary Senior Research Fellow after his official retirement in 1985. Ian published many papers, covering topics ranging from elasticity through ODEs and PDEs to applications of mathematics in biology and medicine. However, it is perhaps through his textbooks that he is known to the widest audience. In 1951 there appeared a large treatise on Fourier Transforms, followed a few years later by one on Partial Differential Equations. Special Functions were an enduring interest and Ian contributed a volume on this topic to a series of undergraduate texts produced by the Edinburgh firm of Oliver and Boyd, a series which was well known to undergraduates of the 60s such as the present writer. Later he wrote "The Use of Integral Transforms" (McGraw-Hill, 1972). The front cover of my copy manages to get Ian's middle initial wrong but otherwise it is a splendid book. The preface says that the book was based on lectures to postgraduate students of Applied Mathematics, Physics and Engineering given at various times in the University of Glasgow, North Carolina State University and the State University of New York at Stony Brook. This vividly illustrates the point that Ian was by then what the airlines would now call a frequent flyer or a world traveller. A famous quote summed it up thus: "If you stand at any crossroads in any American city and wait long enough, Ian Sneddon will pass by" ! On one trip to Canada, he did some work with my own thesis supervisor, Arthur Erdelyi, which is close to my heart. They showed how the Erdelyi-Kober operators of Fractional Calculus could be used to study systematically Dual Integral Equations of Titchmarsh type such as arise from problems in potential theory. Previously, various authors had treated special cases in an ad hoc manner. Erdelyi and Sneddon produced a unified and elegant theory. This and other applications of Fractional Calculus are discussed in Sneddon's wide-ranging survey article in the Proceedings of the 1974 New Haven conference on Fractional Calculus, edited by Bertram Ross (Lecture Notes in Mathematics, Vol 457, Springer, 1975) as well as in his book on Mixed Boundary-Value Problems in Potential Theory (North-Holland, 1966). Apart from his transatlantic journeys, Ian had a strong affinity with Poland. One vehicle for this was classical music, a lifelong passion. He counted several composers among his close friends, notably Witold Lutoslawski. In recognition of his work in fostering mathematical and cultural ties between Poland and Scotland, he was made a Commander, the Order of Polonia Restituta. This was only one of many honours that Ian gained. He was elected a Fellow of the Royal Society of Edinburgh in 1958 and a Fellow of the Royal Society (of London) in 1983. He was made an Officer of the Order of the British Empire (OBE) in 1969. On the occasion of his 70th birthday a special volume on the mathematical methods and applications of elasticity was produced, (edited by George Eason and Ray Ogden, Ellis Horwood, 1990). In December 1999, for his 80th birthday, another special conference was held. Ian showed more stamina than some of younger members of the audience in sitting through seven high-powered lectures and still leaving enough in reserve for the dinner in the evening. Ian liked good food, good company and good conversation. He had an almost endless supply of anecdotes and stories to which he would regale his friends, whether at home, at work or at lunchtimes in the Glasgow Art Club. All of us who had the pleasure of knowing Ian have our own memories, one of which must surely be his beautiful handwriting. Many have cause to be grateful to Ian for advice and encouragement at various stages of their careers. The world of Mathematics will be a poorer place without him . Adam McBride Department of Mathematics University of Strathclyde Glasgow, Scotland, UK. Topic #5 ------------ OP-SF NET 8.1 -------------- January 15, 2001 ~~~~~~~~~~~~~ From: OP-SF NET Editor Subject: New book on Fourier Analysis [From the AMS web page] Fourier Analysis Javier Duoandikoetxea, Universidad del País Vasco/Euskal Herriko Unibertsitatea, Bilbao, Spain Expected publication date is January 11, 2001 Description Fourier analysis encompasses a variety of perspectives and techniques. This volume presents the real variable methods of Fourier analysis introduced by Calderón and Zygmund. The text was born from a graduate course taught at the Universidad Autónoma de Madrid and incorporates lecture notes from a course taught by José Luis Rubio de Francia at the same university. Motivated by the study of Fourier series and integrals, classical topics are introduced, such as the Hardy-Littlewood maximal function and the Hilbert transform. The remaining portions of the text are devoted to the study of singular integral operators and multipliers. Both classical aspects of the theory and more recent developments, such as weighted inequalities, H^1, BMO spaces, and the T1 theorem, are discussed. Chapter 1 presents a review of Fourier series and integrals; Chapters 2 and 3 introduce two operators that are basic to the field: the Hardy-Littlewood maximal function and the Hilbert transform. Chapters 4 and 5 discuss singular integrals, including modern generalizations. Chapter 6 studies the relationship between H^1, BMO, and singular integrals; Chapter 7 presents the elementary theory of weighted norm inequalities. Chapter 8 discusses Littlewood-Paley theory, which had developments that resulted in a number of applications. The final chapter concludes with an important result, the T1 theorem, which has been of crucial importance in the field. This volume has been updated and translated from the Spanish edition that was published in 1995. Minor changes have been made to the core of the book; however, the sections, "Notes and Further Results" have been considerably expanded and incorporate new topics, results, and references. It is geared toward graduate students seeking a concise introduction to the main aspects of the classical theory of singular operators and multipliers. Prerequisites include basic knowledge in Lebesgue integrals and functional analysis. Contents Fourier series and integrals The Hardy-Littlewood maximal function The Hilbert transform Singular integrals (I) Singular integrals (II) H^1 and BMO Weighted inequalities Littlewood-Paley theory and multipliers The T1 theorem Bibliography Index Details: Publisher: American Mathematical Society Distributor: American Mathematical Society Series: Graduate Studies in Mathematics, ISSN: 1065-7339 Volume: 29 Publication Year: 2001 ISBN: 0-8218-2172-5 Paging: 222 pp. Binding: Hardcover List Price: $35 Institutional Member Price: $28 Individual Member Price: $28 Order Code: GSM/29 Topic #6 ------------ OP-SF NET 8.1 -------------- January 15, 2001 ~~~~~~~~~~~~~ From: OP-SF NET Editor Subject: New book on Orthogonal Polynomials and Random Matrices [From the AMS web site] Orthogonal Polynomials and Random Matrices: A Riemann-Hilbert Approach Percy Deift, New York University-Courant Institute of Mathematical Sciences Description This volume expands on a set of lectures held at the Courant Institute on Riemann-Hilbert problems, orthogonal polynomials, and random matrix theory. The goal of the course was to prove universality for a variety of statistical quantities arising in the theory of random matrix models. The central question was the following: Why do very general ensembles of random n times n matrices exhibit universal behavior as n -> infinity? The main ingredient in the proof is the steepest descent method for oscillatory Riemann-Hilbert problems. Titles in this series are copublished with the Courant Institute of Mathematical Sciences at New York University. Contents Riemann-Hilbert problems Jacobi operators Orthogonal polynomials Continued fractions Random matrix theory Equilibrium measures Asymptotics for orthogonal polynomials Universality Bibliography Details: Publisher: American Mathematical Society Distributor: American Mathematical Society Series: Courant Lecture Notes, ISSN: 1529-9031 Volume: 3 Publication Year: 2000 ISBN: 0-8218-2695-6 Paging: 261 pp. Binding: Softcover List Price: $31 Institutional Member Price: $25 Individual Member Price: $25 Order Code: CLN/3 Topic #7 ------------ OP-SF NET 8.1 -------------- January 15, 2001 ~~~~~~~~~~~~~ From: OP-SF NET Editor Subject: OP-SF preprints in xxx archive The following preprints related to the field of orthogonal polynomials and special functions were recently posted or cross-listed to one of the subcategories of the xxx archives. See: 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 Article math.CA/0011002 Title: Transmutation kernels for the little q-Jacobi function transform Author: Erik Koelink, Hjalmar Rosengren Categories: CA Classical Analysis (QA Quantum Algebra) Math Subject Class: 33D15, 33D45, 47B36 Comments: 24 pages, AMS-TeX From: Erik Koelink Date: Wed, 1 Nov 2000 07:18:43 GMT (23kb) Article math.CO/0011047 Title: A non-automatic (!) application of Gosper's algorithm evaluates a determinant from tiling enumeration Author: Mihai Ciucu (Georgia Institute of Technology, Atlanta), Christian Krattenthaler (Universität Wien) Categories: CO Combinatorics (CA Classical Analysis) Math Subject Class: 05A15 (Primary) 05A16 05A17 05A19 05B45 33C20 52C20 (Secondary) Comments: 13 pages, AmS-TeX, uses TeXDraw From: Christian Krattenthaler Date: Wed, 8 Nov 2000 14:00:50 GMT (21kb) Article math.QA/0011046 Title: Orthogonal polynomials associated with root systems Author: Ian G. Macdonald (Queen Mary and Westfield College) Categories: QA Quantum Algebra (CA Classical Analysis; CO Combinatorics) Journal reference: S\'eminaire Lotharingien Combin. 45 (2000), Article B45a, 40 pp Comments: 40 pages, AmS-TeX. This is the 1987 preprint of the same title that has been circulated privately only as a handwritten manuscript. It has now been typed and published in the Séminaire Lotharingien de Combinatoire From: Christian Krattenthaler Date: Wed, 8 Nov 2000 13:48:36 GMT (27kb) Article math-ph/0011025 Title: The $M_{L}(z);C_{L}(z);W_{L}(z)$ associated Laguerre Polynomials Author: M. Mekhfi Categories: MP Mathematical Physics (CA Classical Analysis; FA Functional Analysis) Math Subject Class: 33C45;34A35 Comments: Latex 2e, 12 pages From: Mustapha MEKHFI Date: Wed, 15 Nov 2000 07:38:27 GMT (6kb) Article math-ph/0011021 Title: A Laguerre Polynomial Orthogonality and the Hydrogen Atom Author: Charles F. Dunkl Categories: MP Mathematical Physics (CA Classical Analysis) Math Subject Class: 81Q05, 33C25 Comments: 7 pages, LaTeX From: Charles F. Dunkl Date: Mon, 13 Nov 2000 19:08:37 GMT (14kb) Article math.CA/0012191 Title: Discrete bispectral Darboux transformations from Jacobi operators Authors: F. Alberto Grünbaum, Milen Yakimov Categories: CA Classical Analysis Comments: 30 pages, AMS latex From: Milen Yakimov Date: Tue, 19 Dec 2000 22:16:34 GMT (28kb) Article math.CA/0012078 Title: On some Definite Integrals involving the Hurwitz Zeta function Authors: Olivier R. Espinosa, Victor H. Moll Categories: CA Classical Analysis (GM General Mathematics; MP Mathematical Physics) Comments: 34 pages, AMS-LaTeX From: Olivier R. Espinosa Date: Mon, 11 Dec 2000 15:44:39 GMT (24kb) Article math.CA/0012072 Title: On the valuation of arithmetic-average Asian options: Laguerre series and Theta integrals Author: Michael Schroeder Categories: CA Classical Analysis (PR Probability Theory) Math Subject Class: 44A10, 33C15, 60G40 Comments: 20 pages, 1 Figure From: Michael Schroeder Date: Mon, 11 Dec 2000 09:11:00 GMT (21kb) Article math.RT/0012220 Title: Matrix balls, radial analysis of Berezin kernels, and hypergeometric determinants Author: Yurii A. Neretin Categories: RT Representation Theory (CA Classical Analysis; CV Complex Variables; FA Functional Analysis; MP Mathematical Physics) Math Subject Class: 43A85, 22E46, 53C35, 32A25, 43A90, 33C05, 33E20, 15A15 Report number: ESI-974 Comments: 46 pages From: Neretin Yurii.A. Date: Thu, 21 Dec 2000 18:57:02 GMT (53kb) nlin.SI/0012052 [abs, src, ps, other] : Title: Some Examples of RS^2_3(3)-Transformations of Ranks 5 and 6 as the Higher Order Transformations for the Hypergeometric Function Authors: F.V.Andreev, A.V.Kitaev Comments: 20 pages Subj-class: Exactly Solvable and Integrable Systems Topic #8 ------------ OP-SF NET 8.1 -------------- January 15, 2001 ~~~~~~~~~~~~~ From: OP-SF NET Editor Subject: About the Activity Group The SIAM Activity Group on Orthogonal Polynomials and Special Functions consists of a broad set of mathematicians, both pure and applied. The Group also includes engineers and scientists, students as well as experts. We have around 140 members scattered about in more than 20 countries. Whatever your specialty might be, we welcome your participation in this classical, and yet modern, topic. Our WWW home page is: http://math.nist.gov/opsf/ This is a convenient point of entry to all the services provided by the Group. Our Webmaster is Bonita Saunders (bonita.saunders@nist.gov). The Activity Group sponsors OP-SF NET, which is transmitted periodically by SIAM. It is provided as a free public service; membership in SIAM is not required. The OP-SF Net Editor is Martin Muldoon (muldoon@yorku.ca). To receive the OP-SF NET, send your name and email address to poly-request@siam.org. Back issues can be obtained at the WWW addresses: http://turing.wins.uva.nl/~thk/opsfnet http://www.math.ohio-state.edu/JAT/DATA/OPSFNET/opsfnet.html http://math.nist.gov/opsfnet/archive The NET provides fast turnaround compared to the printed Newsletter, also sponsored by the Activity Group, and edited by Renato Alvarez-Nodarse and Rafael Yanez. It appears three times a year and is mailed by SIAM. Back issues are accessible at: http://www.mathematik.uni-kassel.de/~koepf/siam.html To receive the Newsletter, you must be a member of SIAM and of the Activity Group. SIAM has several categories of membership, including low-cost categories for students and residents of developing countries. For current information on SIAM and Activity Group membership, contact: Society for Industrial and Applied Mathematics 3600 University City Science Center Philadelphia, PA 19104-2688 USA phone: +1-215-382-9800 email: service@siam.org WWW : http://www.siam.org http://www.siam.org/membership/outreachmem.htm Finally, the Activity Group operates an email discussion group, called OP-SF Talk. To subscribe, send the email message subscribe opsftalk Your Name to listproc@nist.gov. To contribute an item to the discussion, send email to opsftalk@nist.gov. The archive of all messages is accessible at: http://math.nist.gov/opsftalk/archive Topic #9 ------------ OP-SF NET 8.1 -------------- January 15, 2001 ~~~~~~~~~~~~~ From: OP-SF NET Editor Subject: Submitting contributions to OP-SF NET and Newsletter To contribute a news item to OP-SF NET, send email to poly@siam.org with a copy to the OP-SF Editor . Please note that submissions to the Net are automatically considered for the Newsletter, and vice versa, unless the contributor requests otherwise. Contributions to the OP-SF NET 8.2 should be sent by March 1, 2001. 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: renato@gandalf.ugr.es ran@cica.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 2001 issue is January 15, 2001 and for the June 2001 issue it is May 15, 2001. o - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - o OP-SF NET is a forum of the SIAM Activity Group on Special Functions and Orthogonal Polynomials. We disseminate your contributions on anything of interest to the special functions and orthogonal polynomials community. This includes announcements of conferences, forthcoming books, new software, electronic archives, research questions, job openings. o - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - o Send submissions to: poly@siam.org Subscribe by mailing to: poly-request@siam.org or to: listproc@nist.gov Get back issues from URL: http://turing.wins.uva.nl/~thk/opsfnet/ WWW home page of this Activity Group: http://math.nist.gov/opsf/ Information on joining SIAM and this activity group: service@siam.org o - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - o The elected Officers of the Activity Group (1999-2001) are: Daniel W. Lozier, Chair Walter Van Assche, Vice Chair Charles F. Dunkl, Secretary Francisco Marcellan, Program Director The appointed officers are: Renato Alvarez-Nodarse and Rafael J. Yanez, Newsletter Editors Martin Muldoon, OP-SF NET editor Bonita Saunders, Webmaster o - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - o