o - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - o - - - July 13, 1995 - - O P - S F N E T Volume 2, Number 4 - - ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ - - Tom H. Koornwinder, Editor thk@fwi.uva.nl - - - - - - The Electronic News Net of the SIAM Activity Group - - on Orthogonal Polynomials and Special Functions - - - - Please send contributions to: poly@siam.org - - & address changes to: poly-request@siam.org - - - o - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - o Today's Topics: 1. Newsletter Editor appointed 2. Nominating Committee 3. Minisymposium at SIAM Annual Meeting in Charlotte 4. Minisemester on Quantum groups and quantum spaces 5. Umbral Calculus Special Session: MIT, April 22-23, 1996 6. Meeting on Symmetries and Integrability of Difference Equations 7. Workshop Transform Methods & Special Functions, II (1996) 8. Reports on Mini-Program Toronto (long item) 9. Report of Minisymposium at ICIAM '95 (Hamburg) 10. Askey-Bateman project 11. UN/ESA Workshops 12. Szego bust 13. Obituary about Nathan Fine in Notices AMS 14. Memorial note about Joe Gillis in Math. Intelligencer 15. A new journal: The Ramanujan Journal 16. New Proceedings "Transform Methods & Special Functions" 17. Dynamic Survey of Umbral Calculus 18. Maple Umbral Calculus Package 19. J. Approx. Theory Table of Contents on WWW 20. J. Physics A available on WWW 21. Kan, a system for computational algebraic analysis 22. ftp and WWW addresses 23. Changes of address 24. Recent additions to ftp site on orthogonal polynomials and related special functions 25. Obtaining back issues of OP-SF Net Calendar of events: see issue/topic: 1995 July 19-21: First Maghrebian Colloquium on Analysis 1.9 #4 October 25: Minisymposium at SIAM Annual Meeting in Charlotte 2.3 #8 November 27- December 1: main topic q-special functions in fourth week of Warsaw Minisemester on Quantum groups and quantum spaces: 2.4 #4 1996 April 22-23: Umbral Calculus Special Session at MIT 2.4 #5 May 6-26: CRM Workshop on the Theory of Special Functions 2.1 #5 July 1-5: Meeting in Canterbury on Symmetries and Integrability of Difference Equations 2.4 #6 August, last week: Workshop Transform Methods & Special Functions 2.4 #7 Topic #1 ----------------- OP-SF NET ----------------- July 13, 1995 ~~~~~~~~~ From: Charles F. Dunkl, Chair of Activity Group Subject: Newsletter Editor appointed Wolfram Koepf (Berlin, Germany) has been appointed as Editor of the printed Newsletter of our Activity Group, initially for a period of one year. In this position he will be the successor of Eugene Tomer. He will prepare three issues during 1995-96, the first one in October 1995. His address is: Wolfram Koepf Konrad-Zuse-Zentrum Heilbronner Str. 10, 10711 Berlin, Germany fax: +49-30-8960 4125, email: koepf@zib-berlin.de Topic #2 ----------------- OP-SF NET ----------------- July 13, 1995 ~~~~~~~~~ From: Charles F. Dunkl, Chair of Activity Group Subject: Nominating Committee The members of the SIAG/OS nominating committee (see OP-SF Net 2.3, Topic #3) met (in person!) at a conference at the University of Toronto, June 21, 1995. We have an almost complete list of nominees: chair: Charles Dunkl, unopposed vice-chair: Tom Koornwinder, unopposed secretary: several candidates program chair: one candidate agreed, another has yet to be asked Ballot forms will be sent to the members in September. Topic #3 ----------------- OP-SF NET ----------------- July 13, 1995 ~~~~~~~~~ From: Martin Muldoon (Program Director) Subject: Minisymposium at SIAM Annual Meeting in Charlotte See the announcement in OP-SF Net, Topic #8. This Minisymposium "Computational Aspects of Special Functions and Orthogonal Polynomials" is cheduled for Wednesday afternoon, October 25, 1995, at the SIAM Annual Meeting, Charlotte, North Carolina, October 23-26. Topic #4 ----------------- OP-SF NET ----------------- July 13, 1995 ~~~~~~~~~ From: Stanislaw Zakrzewski Subject: Minisemester on Quantum groups and quantum spaces It was already mentioned in OP-SF Net 2.3, Topic #9, that the Stefan Banach International Mathematical Center in Warsaw, Poland will host a Minisemester on "Quantum groups and quantum spaces" during November 6 - December 1, 1995 and that the last (fourth) week will also include applications to the theory of special functions. A more definite First Announcement is now obtainable from Stanislaw Zakrzewski . From this Announcement we extract the following information. The fourth week (27 November - 1 December) will have the two themes: Special Functions. Main topics: q-special functions (zeta, gamma, hypergeometric, polynomials, exponentials), polylogarithms, solutions of q-symmetry problems. Noncommutative Geometry and Physics (II). Main topics: Deformed spacetime (Poincare symmetry). Deformed harmonic oscillator (rotation group). Field theory on quantum spacetime. The Advisory Scientific Committee consists of A. Connes, A. Van Daele, K. Gawcedzki, M. Gerstenhaber, M. Flato, T.H. Koornwinder, J.-H. Lu, J. Wess, S.L. Woronowicz. Participation and registration: Participants are expected to come, as a rule, for one week of their choice (optionally, two weeks). The Banach Center will cover the living expenses of a limited number of participants. Unfortunately, no travel expenses can be covered. To apply, please send an e-mail message to szakrz@fuw.edu.pl (Stanislaw Zakrzewski, Scientific Secretary) with the following data: - desired peiod of stay - domain of research, title/abstract of contribution not later than July, 31. The proceedings will be published as a special volume of the Banach Center Publications. Topic #5 ----------------- OP-SF NET ----------------- July 13, 1995 ~~~~~~~~~ From: Alessandro Di Bucchianico Subject: Umbral Calculus Special Session: MIT, April 22-23, 1996 In honor of Gian-Carlo Rota's 64th birthday, the "RotaFest" conference is being organized by Richard Stanley, Neil White and Richard Ehrenborg at The Massachusetts Institute of Technology, Cambridge, Massachusetts, USA next year from Monday, April 22 to Saturday, April 27, 1996. This conference will include a two day workshop devoted to Rota's Umbral Calculus. This special session will be held Monday and Tuesday, April 22 and 23, 1996, and is organized by Alessandro Di Bucchianico, Daniel Loeb, and Nigel Ray. (The session is in place of the previously proposed NATO sponsored workshop in the Netherlands.) Please let us know whether you are interested in attending. We may organize a poster session if there is sufficient interest. Note that there will be no special funding associated specifically with the Umbral Calculus workshop. We look forward to seeing you in Boston next year. Topic #6< ----------------- OP-SF NET ----------------- July 13, 1995 ~~~~~~~~~ From: Peter Clarkson Subject: Meeting on Symmetries and Integrability of Difference Equations (shortened by OP-SF Net editor. The full preliminary announcement and registration form can be obtained on request from the above email address). Conference on Symmetries and Integrability of Difference Equations, University of Kent, Canterbury, July 1st-5th 1996 A meeting on "Symmetries and Integrability of Difference Equations" (SIDE) will be held at the University of Kent at Canterbury from Monday 1st July to Friday 5th July 1996. This conference is the successor of the meeting on the same topics held in Esterel, Quebec, Canada in May 1994 (see OP-SF Net 1.1, Topic #7). The proposed meeting, like its predecessor in Esterel, is planned to bring together researchers who work in the field of symmetries and integrability of difference equations. The subject area is relatively young. In the past few years a great deal of progress has been made on the mathematical aspects of discrete integrable systems, including integrable dynamical mappings, ordinary and partial difference equations, lattice solitons, discrete versions of the Painleve equations, symmetry approaches and singularity analysis, and applications to numerical analysis, computer science and physics. The meeting in Esterel brought together for the first time many leading experts in the various aspects of the field. As with the previous meeting in Esterel, this meeting will be of an interdisciplinary nature, and a source of contact between the different disciplines. The conference is being organised by Professor Peter Clarkson, Institute of Mathematics & Statistics, University of Kent and Dr Frank Nijhoff, Department of Applied Mathematical Studies, Unversity of Leeds . The scientific committee consists of Peter Clarkson, Frank Nijhoff, Professor Thanasis Fokas, Loughborough University, U.K. and Professor Pavel Winternitz, University of Montreal, Canada . The local management of the meeting will be run by Peter Clarkson and Alan Common , of the Institute of Mathematics & Statistics. The conference finances will be run on a minimal basis with delegates charged a small registration fee of 50 pounds and a residential fee of about 40 pounds per day to cover bed, breakfast, lunch, coffee, tea and evening meal. Anyone registering after 31 March 1996 will be charged an additional late registration fee of 50 pounds. Accommodation is limited so early registration is encouraged. We will attempt to attract some supporting grants. We are grateful to the Institute of Mathematics & Statistics for financial support. The organizers would like to encourage all communications regarding the conference to be carried out by email as far as possible. Please email the organisers as soon as possible if you are interested in participating in this meeting; this is not a definite commitment. Topic #7 ----------------- OP-SF NET ----------------- July 13, 1995 ~~~~~~~~~ From: Virginia Kiryakova Subject: Workshop Transform Methods & Special Functions, II (1996) (shortened by OP-SF Net editor. The full preliminary announcement and registration form can be obtained on request from the above email address). Workshop "Transform Methods & Special Functions, II" (1996) (Preliminary Announcement) The First International Workshop "Transform Methods & Special Functions" took place in the resort town of Bankya (near Sofia), Bulgaria in the period 12 - 17 August, 1994. In 1996 the 100th Anniversary of the eminent Bulgarian mathematician Nikola Obrechkoff (1896 - 1963), whose achievements are closely related to the above topics, will be celebrated in Bulgaria. It is a good occasion to organize the Second International Workshop "TM & SF". The proposed period of time is the last week of August, 1996 and the place is a Black Sea resort, near Varna (the birthplace of N. Obrechkoff). More details on the exact period of time, registration fees, accommodation and scientific programme will be given in the First Announcement in October 1995. It will be sent to those who confirm their interest in the meeting. If you are interested, please send an email message to Virginia Kiryakova mentioning your name, email address and ordinary address and preliminary subject of your lecture. The Organizers will appreciate any suggestions and financial supports. Thank you in advance for your commitment and cooperation, the Organizing Committee: Prof. Dr Petar Rusev, Prof. Dr Ivan Dimovski, Prof. Dr Shyam L. Kalla (Kuwait University), Asso. Prof. Dr Virginia Kiryakova, Asso. Prof. Dr Lyubomir Boyadjiev. Topic #8 ----------------- OP-SF NET ----------------- July 13, 1995 ~~~~~~~~~ From: Tom H. Koornwinder Subject: Reports on Mini-Program Toronto The Mini-Program on Special Functions, q-Series and Related Topics (see OP-SF Net 2.2, Topic #5) was held during 12-23 June, 1995 at the University of Toronto. I solicited short reports of the Miniprogram from Marcel de Jeu and Doug Bowman, and I added one myself. All these reports give impressions rather than detailed and formal accounts. Finally, George Gasper communicates a short note. Report by Marcel de Jeu From June 12 to June 23, 1995, a workshop on special functions, q-series and related topics was held at the University of Toronto, under the auspicies of the Fields Institute For Research In Mathematical Sciences. As the title already indicated, a great variety of subjects were to be expected, both in the five minicourses during the first week and in the contributed lectures during the second week. Roughly speaking, the minicourses and the lectures could be divided into three groups. The first group was concerned with special functions and q-series as such (mostly in one variable), the second group concentrated on the relationship between special functions, q-series and representation theory (not necessarily in one variable), and the third group treated miscellaneous aspects of special functions, as diverse as e.g. connections with computer algebra, combinatorics, probability theory and superbly converging algorithms for approximations of pi. The topics in the latter category had the virtue of appealing easily to a general uninitiated audience, but it did not go unnoticed that the audiences for the first and second group of topics appeared to be somewhat disjoint. Even though the theory of special functions and the representation theory of (quantum) groups are related, this has apparently not encouraged too many people to be engaged in both fields - although there are of course exceptions. At any rate, anyone interested in special functions must have found something to choose from at this workhop - the diversity of the program was a guarantee for that. Report by Doug Bowman The weather in Toronto for the Fields Institute session on q-series and special functions was quite nice making attendance quite a pleasure. The first week talks were tutorials which I think were moderately successful, some drifted into the informal talk category, some were quite competent introductory surveys of their subject, while others were aimed at students and were replete with exercises. I understand that one person even handed in solutions! I think that I gained something from all that I attended. I found the atmosphere among the international participants friendly, especially the second week, when I think people had relaxed somewhat. The talks during the second week were in general well presented, and toward the end a disagreement even broke out after one talk livening up the atmosphere. One fellow could be counted on throughout the conference to provide comic relief, but I'm not sure that this was intentional. Another highlight for me was attending planning sessions on a Bateman project revision. I have always loved tables of special functions. Report by Tom Koornwinder The Toronto workshop was great for me, first of all because I could meet there so many colleagues in my field. Concerning the program, I was in particular excited by the last week, which was more research oriented than the first week and was also more intensive. The regular program (9-12 a.m. and 1.30-5.00 p.m.) was already quite tough in the second week, but moreover there was a busy fringe program: two business meetings on a possible Askey-Bateman book project and two evening sessions on Multivariable Special Functions, Algebraic Structures and Mathematical Physics, organized by Luc Vinet. Some of the lectures I heard there were among the most memorable things of my two weeks in Toronto. Compared to the Columbus NATO Advanced Study Institute of 1989 there was less emphasis on classical analysis aspects and much more on multi-variable, algebraic, formal and combinatorial aspects. In this respect Toronto may not have given a completely balanced survey of the state of the art in the theory of orthogonal polynomials and special functions, but this will be easily compensated by some other meetings in the past (e.g. Delft 1994) or in the future. The first week was devoted to introductory minicourses. Then the program was much more relaxed, starting only at 9.30 a.m. and often ending at 3 p.m. It is my feeling that we might have been slightly more effective here if we had defined better for each course what knowledge could be assumed and if some or all of the courses would have comprised four rather than three one-hour lectures. There were some tutorial sessions in connection with the minicourses. For one topic this was given by an advanced PhD student, for the other topics it was done by the lecturers themselves. Since this was kind of an experiment, I am curious to hear from participants whether they appreciated these tutorials. Another event in the first week, which I personally liked very much, was a demonstration by Christian Krattenthaler of his Mathematica package implementing part of the book by Gasper and Rahman on Basic hypergeometric series. The setting of the workshop, at the Oxford and Cambridge modeled St. George campus in central Toronto, was superb. The lectures were in University College, the building where the University of Toronto started in the 19th century. Never before at a conference have I had registration and refreshments service in such a nice room as here. It was surprising that this historic building housed such well-equipped lecture rooms, although better air conditioning would have been welcome when outside temparatures rose to 36 degrees Celsius. The lecture room for the main lectures in the second week compensated for this by having all doors open, including a door to the street. Sometimes, a concert on nearby bells enlivened the lectures. This room was very special by its high balcony and by the long stairs coming down to the ground level. There was something very theatrical about this room, and indeed, some of the lectures and subsequent discussions were theater. Social events included a barbecue in the first week in the pleasant Hart House quadrangle and a banquet in the second week in the splendid Great Hall of Hart House. Both occassions were also an opportunity for fraternizing with the people of the parallel PDE workshop of the Fields Institute. The banquet concluded with a piano recital by Christian Krattenthaler, a man with many-sided talents. The Fields Institute organisational machinery had some trouble getting off the ground in the first week, but gradually everything went quite smoothly, the congress secretary was kind and efficient, and the refreshments in the breaks were delicious. David Masson, coordinator of the scientific program (and of much more) has really done a great job. Note by George Gasper On June 16th, for submitting the "best" set of solutions to three exercises in the "q-Series" Minicourse by George Gasper, Dennis Eichhorn was awarded an autographed copy of the N.M. Atakishiyev and S.K. Suslov Russian translation of the Gasper and Rahman "Basic Hypergeometric Series" book. It was autographed by the authors, translators, and R. Askey who wrote the Foreword in the book. Topic #9 ----------------- OP-SF NET ----------------- July 13, 1995 ~~~~~~~~~ From: Francisco Marcellan Subject: Report of Minisymposium at ICIAM '95 (Hamburg) The Minisymposium "Orthogonal Polynomials and Spectral Methods" (see OP-SF Net 2.3, Topic #7) was held on July 4 during ICIAM '95, Hamburg, Germany, July 3-7, 1995. The organizers were Francisco Marcellan (EPS Carlos III, Madrid, Spain) and Andre Ronveaux (Facultes Universitaires N.D. de la Paix, Namur, Belgium). The Minisymposium was sponsored by the SIAM Activity Group on Orthogonal Polynomials and Special Functions. The program was as announced in OP-SF Net 2.3, except that Maday's lecture was presented by Berardi and Iserles' lecture by Norsett. So the actual speakers were: 1. Cristine Bernardi (joint work with Yvon Maday) 2. Syvert P. Norsett (joint work with Arieh Iserles and Jesus Sanz Serna) 3. Andre Ronveaux (joint work with Francisco Marcellan) 4. Bernie Shizgal Topic #10 ---------------- OP-SF NET ----------------- July 13, 1995 ~~~~~~~~~ From: Walter Van Assche Subject: Askey-Bateman project Everyone interested in special functions probably knows the Bateman Manuscript Project (A. Erd\'elyi et al.), which was published in the 1950's. This project consists of three volumes of "Higher Transcendental Functions" and two books of "Tables of Integral Transforms". They have been a rich source of information for about 40 years now. In the meantime our knowledge of special functions and the applicability of them has grown. Some aspects of special functions which are important in contemporary research are not covered in the Bateman manuscript project. Furthermore the newest technology (internet, WWW) forces us to consider an online version of the Bateman project. For some years people have started to play with the idea of preparing an upgrade of the Bateman project, worthy for the state-of-the-art at the end of the twentieth century. One of the most active in promoting the idea of a new Bateman project is Richard Askey. During the Fields Institute mini program "Special Functions, q-series and Related Topics" (June 1995) in Toronto, we had some planning meetings for a "Askey-Bateman project". Mourad Ismail and Walter Van Assche are ready to coordinate this project and a list of possible topics has been compiled and includes all the chapters already available in the 1950 Bateman project together with some new topics such as group representations and special functions, q-series, continued fractions, hypergeometric functions of several variables and matrix argument, and computer algebra for special functions. Some consultants have been proposed and for some of the topics a number of people have already been assigned for the preparation of a text. We have not yet been able to approach everybody suggested in Toronto, so we would rather not give a list of names yet. The SIAM activity group "Orthogonal Polynomials and Special Functions" can play an active role in this Askey-Bateman project and the coordinators will attempt to keep the group informed of the progress. We invite everyone interested in this project to contact the coordinators Mourad Ismail: ismail@math.usf.edu Walter Van Assche: walter@wis.kuleuven.ac.be All help and suggestions are welcome. Topic #11 ---------------- OP-SF NET ----------------- July 13, 1995 ~~~~~~~~~ From: Hans J. Haubold Subject: UN/ESA Workshops In the past four years the United Nations (UN) in cooperation with the European Space Agency (ESA) organized a series of Workshops on Basic Space Science for the benefit of Third World countries in four regions on Earth: Asia and the Pacific (India 1991), Latin America and the Caribbean (Costa Rica and Colombia 1992), Africa (Nigeria 1993), and Western Asia (Egypt 1994). Each Workshop programme addressed selected topics of astronomy and brought to life an astronomical follow-up project for the respective region, usually the establishment of an astronomical observatory in a Third World country. This series of Workshops was co-organized by the German Space Agency (DARA), the International Centre for Theoretical Physics Trieste (ICTP), the National Aeronautics and Space Administration of the United States of America (NASA), and The Planetary Society (TPS). A full account of the Workshop deliberations is provided in the homepage at ftp://ecf.hq.eso.org/pub/un/un-homepage.html The scientific programme in the past four Workshops focused on astronomy and physics, also emphasizing analytical and numerical mathematical techniques applied to problems in astrophysics. The United Nations has been asked to organize a second circle of Workshops on Basic Space Science of which the 1995 Workshop will be held in Karachi, Pakistan (12-16 November 1995), again for Asia and the Pacific, and the 1996 Workshop will be hosted by Germany (date and location will be announced shortly), this time for Europe; discussions are progressing well to have the 1997 Workshop again in Latin America and the Caribbean. In all past Workshops it had been the desire of participating scientists to increase the number of presentations addressing topics in mathematics applied to problems in astrophysics. It is the intention of this note to bring the above homepage to the attention of Members of OP-SF Activity Group and to invite you to advice the United Nations on whether you would like to recommend mathematicians from Third World countries that are working in the field of orthogonal polynomials and special functions and their applications, preferably to problems in astronomy and physics. The United Nations is currently in contact with Wolfram Research to channel more information on Mathematica into universities and research institutes in the developing world. Mathematica will be part of the programme of the next two UN/ESA Workshops on Basic Space Science. I would be happy to provide any further information as might be appropriate. Topic #12 ---------------- OP-SF NET ----------------- July 13, 1995 ~~~~~~~~~ From: Paul Nevai Subject: Szego bust The dedication of the Szego bust (see OP-SF Net 2.2, Topic #8) is planned on August 7, 1995 in Kunhegyes, Hungary (Szego died on 8/7/85). There is a chance that we could move the dedication to the third week of August so that those participants of AFS95 (the conference in Budapest) who would be interested (and willing) to be bussed down to Kunhegyes could attend the dedication. Request: If you plan to come to Budapest for AFS95 in August and if you are interested in attending the Szego bust dedication in Kunhegyes, please tell me (by e-mail ) immediately. Topic #13 ---------------- OP-SF NET ----------------- July 13, 1995 ~~~~~~~~~ From: OP-SF Net Editor Subject: Obituary about Nathan Fine in Notices AMS The Notices of the AMS, June 1995 contains at p.678 an obituary by George Andrews about Nathan Fine, 1916-1994. I quote from his article: I first met Nat in 1961 when I began graduate school at the University of Pennsylvania. In 1962 I took his course "Basic Hypergeometric Functions" under the mistaken asumption thet "basic' meant "elementary". This was perhaps the most fortunate mistake I ever made. Twenty-six years later, I wrote the foreword to his book "Basic Hypergeometric Series and Applications". The reference for this book is: N.J. Fine, Basic hypergeometric series and applications, Mathematical Surveys and Monographs 27, Amer. Math. Soc., 1988. Topic #14 ---------------- OP-SF NET ----------------- July 13, 1995 ~~~~~~~~~ From: OP-SF Net Editor Subject: Memorial note about Joe Gillis in Math. Intelligencer The Mathematical Intelligencer 17 No. 2 (Spring 1995) contains at p.65 an article by Doron Zeilberger entitled "How Joe Gillis discovered combinatorial special function theory". Joe Gillis died on November 19, 1993 at the age of 82 years. Zeilberger writes that Gillis had a great influence on his mathematical development. According to Zeilberger, the 1976 paper by Even and Gillis on Derangements and Laguerre polynomials is the first time that a connection between combinatorics and classical special functions was observed. Topic #15 ---------------- OP-SF NET ----------------- July 13, 1995 ~~~~~~~~~ From: Krishnaswami Alladi Subject: A new journal: The Ramanujan Journal Commencing with publication in 1997 Kluwer plans a new quarterly journal: The Ramanujan Journal. It will be an international journal devoted to the areas of mathematics influenced by Ramanujan. Editor-in-Chief: Krishnaswami Alladi (University of Florida) Coordinating Editors: Bruce Berndt (University of Illinois) Frank Garvan (University of Florida) In adition, there is a large Editorial Board. Scope: The Ramanujan Journal will publish original research papers of the highest quality in all areas of mathematics influenced by Srinivasa Ramanujan. His remarkable discoveries have made a great impact on several branches of mathematics, revealing deep and fundamental connections. For a leaflet with further information and for instruction to Authors please contact Kelly Kriddle . Topic #16 ---------------- OP-SF NET ----------------- July 13, 1995 ~~~~~~~~~ From: Virginia Kiryakova Subject: New Proceedings "Transform Methods & Special Functions" Proceedings of First International Workshop Transform Methods & Special Functions Editors: P. Rusev, I. Dimovski, V. Kiryakova. SCT Publishing, Singapore 1995, 380 p. The First International Workshop "Transform Methods & Special Functions" took place in the resort town of Bankya, near Sofia (Bulgaria), 12 - 17 August 1994. Organizing Committee: Prof-s P. Rusev, I. Dimovski, S. L. Kalla (Chairmen), Asso. Prof-s V. Kiryakova, L. Boyadjiev (Secretaries). Main topics: Integral Transforms, Special Functions, Series Expansions, Fractional Calculus and Generalizations, Algebraical Analysis, Operational Calculus, Univalent Functions Theory and their applications to Complex Analysis, Differential and Integral Equations. Participants: 46 mathematicians from Australia, Bulgaria, Byelorussia, Canada, Egypt, Germany, Italy, Japan, Kuwait, Poland, Russia, Taiwan, USA, Vietnam and Yugoslavia. The volume contains invited surveys and papers submitted by the participants, among them many eminent experts in the areas of the Workshop. The authors are: A. Al-Zamel, P. Antosik - W. Kierat - K. Skornik, I. Dimovski - R. Petrova, D. Dryanov - V. Vatchev, E. M. Elabd, S. Fukui, H.-J. Glaeske, R. Gorenflo - R. Rutman, R. N. Kalia, S. L. Kalla, A. Kilbas - M. Saigo, V. Kiryakova, S. Krasinska, A. Lecko - T. Yaguchi, E. R. Love, F. Mainardi - M. Tomirotti, S. Mincheva, D. Nikolic-Despotovic, K. Nishimoto, S. Owa, J. Paneva - Konovska, I. Podlubny, D. Przeworska, S. Rolewicz, P. G. Rooney, P. Rusev, M. Saigo - A. Kilbas, H. Saitoh, T. Sekine, Shih-Tong Tu - Ding-Kuo Chyan, K. Skornik, J. Sokol, J. Stankiewicz - Z. Stankiewicz - K. Wilczek, B. Stankovic, D. Takaci - A. Takaci, Vu Kim Tuan - R. Gorenflo, R. Yamakawa. Contents: 380 p. including Preface, List of Participants, Appendix (Photomaterials of the Workshop). To order copies of the volume, please write directly to the Publisher: Mr. Willie Yong - Science Culture Technology Publishing (SCTP) AMK Central Post Office, P.O. Box 0581, Singapore 9156 Republic of Singapore Fax: +65-458-5540 ; E-mail: fbasumcc@nusvm.bitnet Topic #17 ---------------- OP-SF NET ----------------- July 13, 1995 ~~~~~~~~~ From: Alessandro Di Bucchianico Subject: Dynamic Survey of Umbral Calculus Alessandro Di Bucchianico and Daniel Loeb have recently completed a survey of the umbral calculus literature and submitted it to the "Dynamic Surveys in Combinatorics" department of the "Electronic Journal of Combinatorics." While awaiting its approval, this document is available in LaTeX (source or hardcopy on request) and via the World Wide Web URL http://www.win.tue.nl/win/math/bs/statistics/bucchianico/hypersurvey It contains over 400 bibliographical references in DVI or PS format. The references actually cited in the introduction (over 120) are given in hypertext format, and links are given as available. This survey is "dynamic" in that we are supposed to update it regularly with: new references new links for old references. For this, we need your help. Please tell us of any papers that we have neglected to include in our selected survey. Also, give us links to any papers in our survey which are publically available over the Web, your WWW home pages, and any other relevant Web materials. Thank you for your cooperation. Topic #18 ---------------- OP-SF NET ----------------- July 13, 1995 ~~~~~~~~~ From: Alessandro Di Bucchianico Subject: Maple Umbral Calculus Package Anee Bottreau, Alessandro Di Bucchianico and Daniel Loeb have developed a symbolic algebra package written in Maple to perform a variety of calculations related to the umbral calculus. The official release of this computer algebra toolkit is due at the conference on Formal Power Series and Algebraic Combinatorics (Marne-la-Vallee, France, May 29 - June 2 1995). On request or by WWW http://www.labri.u-bordeaux.fr/~loeb/umbral.html you can be sent Documentation "A Maple Umbral Calculus Package" (6 pages), or a tar file containing the actual Maple source code include online help, and an example worksheet. A 34 page report is also available in French. This package has already proven to be a useful research tool. For example, our research on convolution sequences with persistent roots began in April 1991. However, we were only able to classify such sequences thanks to extensive computations with our Maple package. We hope you find the package equally useful. Topic #19 ----------------- OP-SF NET ----------------- July 13, 1995 ~~~~~~~~~ From: Paul Nevai Subject: J. Approx. Theory Table of Contents on WWW The WWW home page of J. Approx. Theory now gives access to Word Search of back issues through Table of Contents and to addresses and email lists of approximators. Some relevant pages are http://www.math.ohio-state.edu/JAT http://www.math.ohio-state.edu/JAT/DATA/TOC/toc.html http://www.math.ohio-state.edu/cgi-bin/JAT/jatsearch Topic #20 ----------------- OP-SF NET ----------------- July 13, 1995 ~~~~~~~~~ From: OP-SF Net editor Subject: J. Physics A available on WWW The Institute of Physics Publishing has made available the current issues of some of its journals (including J. Physics A: Mathematical & General) via WWW. One can access this service, under the name Physics Express Letters, at the WWW address http://www.iop.org/ For a trial period until the end of December 1995 this service is free, although one has to fill out an on-line application form. Topic #21 ---------------- OP-SF NET ----------------- July 13, 1995 ~~~~~~~~~ From: Nobuki Takayama Subject: Kan, a system for computational algebraic analysis Kan is a system for doing algebraic analysis by computer based on computations of Groebner bases. We can do computations in the rings of polynomials, differential operators, difference operators and q-difference operators by the Kan system. The integrals (direct images), restrictions (inverse images) and free resolutions of modules can be computed by the system. These abilities can be used for computation of invariants for D-modules and mechanical theorem provings of binomial and special function identities. A tutorial is also provided for the version 1. Kan is developed and implemented by Nobuki Takayama, Department of Mathematics, Kobe University, Japan. Kan is available for Unix platforms by anonymous ftp at ftp.math.s.kobe-u.ac.jp in the directory pub/kan. For questions, please contact the developer by email at kan@math.s.kobe-u.ac.jp. A first version came out on April 19, 1992 and the latest version on January 7, 1995. If one is interested in computing free resolutions, it is recommended to use D-Macaulay that is based on Macaulay by D.Bayer and M.Stillman. D-Macaulay is sharing a code with Kan and is more efficient for computing free resolutions of D-modules. An alpha test version of D-Macaulay is available from the same ftp site. Topic #22 ---------------- OP-SF NET ----------------- July 13, 1995 ~~~~~~~~~ From: OP-SF Net editor Subject: ftp and WWW addresses Here follows an extension of the list of ftp and WWW addresses relevant for our field, which was started in OP-SF Net 2.2, Topic #11. Please let me know about further addresses. I am also interested in hearing about WWW home pages and anonymous ftp sites of individuals. Below a (*) will mean that the address was not yet included in the previous issue. Journals: AT-NET: WWW: http://gauss.technion.ac.il/lists/at-net (*) Constructive Approximation WWW: http://www.math.usf.edu/CA/index.html Electronic Journal of Combinatorics: WWW: http://ejc.math.gatech.edu:8080/Journal/journalhome.html Journal of Approximation Theory: WWW: http://www.math.ohio-state.edu/JAT (*) Physics Express Letters (including J. Physics A): WWW: http://www.iop.org/ Seminaire Lotharingien de Combinatoire WWW: http://cartan.u-strasbg.fr/~slc Preprint archives: AMS preprint server: WWW: http://e-math.ams.org/web/preprints/ hep-th (theoretical high energy physics): email: hep-th@xxx.lanl.gov or hep-th@babbage.sissa.it WWW: http://xxx.lanl.gov/hep-th Orthogonal polynomials and related special functions (W. Al-Salam): ftp: euler.math.ualberta.ca q-alg (quantum algebra including knot theory): email: q-alg@eprints.math.duke.edu WWW: http://www.msri.org/preprints Univ. of Amsterdam (Koelink, Koornwinder, Kuijlaars, Stokman): ftp: ftp.fwi.uva.nl, in directory pub/mathematics/reports/Analysis Organisations: AMS e-MATH homepage: WWW: http://e-math.ams.org Cern (Geneva): WWW: http://www.cern.ch Computer Algebra Nederland (CAN): WWW: http://www.can.nl Institute for Math. and its Appl., Minneapolis: WWW: http://www.ima.umn.edu SIAM: WWW: http://www.siam.org gopher: gopher.siam.org ftp: ae.siam.org (*) Simon Fraser CECM: WWWhttp://www.cecm.sfu.ca (*) United Nations Office for Outer Space Affairs: WWW: ftp://ecf.hq.eso.org/pub/un/un-homepage.html Other information: Bibnet search: WWW: http://netlib.att.com/netlib/bibnet.html Guide to Available Mathematical Software: WWW: http://gams.nist.gov (*) MacTutor History of Mathematics archive (St. Andrews University, Scotland) http://www-groups.dcs.st-and.ac.uk:80/~history/ Mathematics Information Servers (Pennsylvania State University): WWW: http://www.math.psu.edu/OtherMath.html Netlib: WWW: http://netlib.att.com/netlib Netlib Search: http://netlib.att.com/netlib/search.html Newsgroup sci.math: WWW: news:sci.math Newsgroup sci.math.research: WWW: news:sci.math.research Tables of contents of math journals: WWW: gopher://gopher.cecm.sfu.ca/11/Resources WWW virtual library, mathematics (Florida State University): WWW: http://euclid.math.fsu.edu/Science/math.html Individuals: Peter Borwein: WWW: http://www.cecm.sfu.ca/personal/pborwein/Homepage.html (*) Alessandro Di Bucchianico: WWW: http://www.win.tue.nl/win/math/bs/statistics/bucchianico George Gasper: WWW: http://www.math.nwu.edu/preprints/gasper/index.html (*) Wolfram Koepf: WWW: ftp://elib.zib-berlin.de/pub/UserHome/Koepf/homepage.html Daniel Loeb: WWW: http://www.labri.u-bordeaux.fr/~loeb Martin E. Muldoon: WWW: http://www.math.yorku.ca/Who/Faculty/Muldoon/menu.html Paul Nevai: WWW: http://www.math.ohio-state.edu/~nevai Herbert Wilf: WWW: http://www.cis.upenn.edu:80/~wilf Doron Zeilberger: Ftp: ftp math.temple.edu, dir pub/zeilberg WWW: http://www.math.temple.edu/~zeilberg Topic #23 ----------------- OP-SF NET ----------------- July 13, 1995 ~~~~~~~~~ From: OP-SF Net editor Subject: Changes of address Erik Koelink, working in the area of q-special functions and quantum groups, moved from Katholieke Universteit Leuven, Belgium to Amsterdam. His new address is: H.T. Koelink University of Amsterdam, Department of Mathematics Plantage Muidergracht 24 1018 TV Amsterdam The Netherlands phone: +31-20-525 5091 fax: +31-20-525 5101 email: koelink@fwi.uva.nl Topic #24 ---------------- OP-SF NET ----------------- July 13, 1995 ~~~~~~~~~ From: Waleed A. Al-Salam Subject: Recent additions to ftp site on orthogonal polynomials and related special functions Waleed Al-Salam has an anonymous ftp site at euler.math.ualberta.ca on orthogonal polynomials and related special functions. It can also be accessed by using World Wide Web (xmosaic or Mosaic) at the address ftp://euler.math.ualberta.ca. Manuscripts can be obtained from directory pub and subdirectories. In particular, examine the file 00Contents in the pub directory. If you wish to receive periodic info regarding recent additions to this database please send an email message to waleed@euler.math.ualberta.ca with your e-mail address. You are invited to submit one or more of your not-yet-in-print manuscripts which you wish to make available to the general OPS community. They should be in Plain TeX, LaTeX, AMSTeX or AMSLaTeX format. These manuscripts can be submitted by one of the following methods: a) E-mail to waleed@euler.math.ualberta.ca b) anonymous ftp to euler.math.ualberta.ca then "cd submissions" and finally "put file" where "file" is the name of the file you wish to deposit. Between May 15 and July 10, 1995 the following additions were put in the pub directory: H.J. Haubold, An analytic solar model-physical principles and mathematical structure. (see /ftp/pub/haubold-mathai5.tex). J. Guadalope, M. Perez, F. Ruiz and J. Varona, Weighted norm inequalities for polynomial expansions associated to some measures with mass points. (see /ftp/pub/weight-mass.tex). M.S. Dijkhuizen and M. Noumi, A family of quantum projective spaces and related q-hypergeometric orthogonal polynomials. (see /ftp/pub/dijkhuizen-noumi.tex) H.T. Koelink, Addition formulas for q-special functions (see /ftp/pub/koelink5.tex) Topic #25 ---------------- OP-SF NET ----------------- July 13, 1995 ~~~~~~~~~ From: OP-SF Net editor Subject: Obtaining back issues of OP-SF Net Back issues of OP-SF Net can be obtained from ftp: ftp.fwi.uva.nl, in directory pub/mathematics/reports/Analysis/koornwinder/opsfnet.dir or WWW: http://math.ohio-state.edu/JAT Contributions to the OP-SF Net 2.5 should reach the email address poly@siam.org before September 1, 1995. In order to join the SIAM Activity Group on Orthogonal Polynomials and Special Functions, and thereby receive the Newsletter, you have to become a member of SIAM. 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This - - includes announcements of conferences, forthcoming books, new - - software, electronic archives, research questions, job openings. - o - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - o - Send submissions to: poly@siam.org - - Send address changes to: poly-request@siam.org - - Get back issues by ftp from: ftp.fwi.uva.nl, in directory - - pub/mathematics/reports/Analysis/koornwinder/opsfnet.dir - - Information on joining SIAM - - and this activity group: service@siam.org - o - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - o - The Officers of the Activity Group are: - - Charles Dunkl, Chair - - George Gasper, Vice Chair - - Tom H. Koornwinder, Secretary and OP-SF Net Editor - - Martin E. Muldoon, Program Director - - Newsletter Editor is: - - Wolfram Koepf - o - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - o