International Workshop on Special Functions, Orthogonal Polynomials, Quantum Groups and Related Topics

我们建议在理查德·阿斯基70岁生日时组织一次关于特殊函数、正交多项式、量子群和相关主题的国际研讨会。日期：2003年10月18日至22日地点：德国贝克斯巴赫/萨尔兰Hochwiesmuehle酒店。国际组委会：Erik Koelink(荷兰代尔夫特理工大学)、Tom Koornwinder(荷兰阿姆斯特丹大学KDV研究所)、Jasper Stokman(荷兰阿姆斯特丹大学KDV研究所)、Andreas Ruffing(德国慕尼黑理工大学)、Sergei Suslov(美国亚利桑那州立大学)。当地组委会：安德烈亚斯·鲁芬(主席)、克里斯汀·艾、克莱门斯·林德曼(萨尔普法尔兹区主席)、海因茨·米勒(贝克斯巴赫镇长)。特别活动领域，特别是Q系列，在过去30年中取得了重大和重大的进展。最近，这门学科被应用于数学和物理的不同领域。拟议讲习班的重点将放在受理查德·阿斯基影响的特殊职能及其应用方面的活跃研究领域。这在像现在这样一个学科被应用于量子群、组合学、数论、完全可积系统、数学物理等多个领域的时候尤其重要。会议的主要重点将是特殊函数的理论及其应用。重点将集中在经典的正交多项式，或Askey-Wilson多项式及其特殊和/或极限情况，双正交有理函数，Leonard对，包括q-傅里叶变换和Askey-Wilson函数变换的积分变换，q-傅立叶级数，Askey--Wilson算子及其逆，量子群和特殊函数，q-谐振子，以及其他方面的最新发展。它将汇聚阿斯基数学家族的所有“几代人”：从世界顶尖领袖到从事现代特殊函数理论、Q系列及其应用发展的年轻研究人员和研究生。

We propose to organize an International Workshop on Special Functions, Orthogonal Polynomials, Quantum Groups and Related Topics dedicated to Richard Askey on his 70th birthday. Date: 18--22 October 2003. Location: Hotel Hochwiesmuehle, Bexbach/Saarland, Germany. International Organizing Committee: Erik Koelink (Delft University of Technology, The Netherlands), Tom Koornwinder (KdV Institute, University of Amsterdam, The Netherlands), Jasper Stokman (KdV Institute, University of Amsterdam, The Netherlands), Andreas Ruffing (Munich University of Technology, Germany), Sergei Suslov (Arizona State University, United States). Local Organizing Committee: Andreas Ruffing (Chair), Kristine Ey, Clemens Lindemann (President of Saarpfalz District), Heinz Mueller (Mayor of the Town of Bexbach).The area of special functions, in general and q-series in particular, has seen major and significant advances in the last thirty years. Recently the subject is being applied in different areas of mathematics and physics. The focus of the proposed workshop will be on the active research areas in special functions and their applications influenced by Richard Askey. This is especially important at a time, like the present, when the subject is being applied in many areas including quantum group, combinatorics, number theory, completely integrable systems, mathematical physics.The main emphasis of the meeting will be the theory of special functions and their applications. A point of emphasis will be on recent developments in classical orthogonal polynomials, or Askey--Wilson polynomials and their special and/or limiting cases, biorthogonal rational functions, Leonard's pairs, integral transforms including q-Fourier transform and Askey--Wilson function transform, q-Fourier series, Askey--Wilson operators and their inverses, quantum groups and special functions, q-harmonic oscillators, and others.The workshop will have truly international character; it will bring together all ``generations'' of Askey's mathematical family: from the world top leaders to young researchers and graduate students who are engaged in development of modern theory of special functions, q-series and their applications.