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Titlebook: q-Series and Partitions; Dennis Stanton Conference proceedings 1989 Springer-Verlag New York Inc. 1989 Combinatorics.Partition.differentia

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书目名称q-Series and Partitions
编辑Dennis Stanton
视频video
丛书名称The IMA Volumes in Mathematics and its Applications
图书封面Titlebook: q-Series and Partitions;  Dennis Stanton Conference proceedings 1989 Springer-Verlag New York Inc. 1989 Combinatorics.Partition.differentia
描述This IMA Volume in Mathematics and its Applications q-Series and Partitions is based on the proceedings of a workshop which was an integral part of the 1987-88 IMA program on APPLIED COMBINATORICS. We are grateful to the Scientific Committee: Victor Klee (Chairman), Daniel Kleitman, Dijen Ray-Chaudhuri and Dennis Stanton for planning and implementing an exciting and stimulating year­ long program. We especially thank the Workshop Organizer, Dennis Stanton, for organizing a workshop which brought together many of the major figures in a variety of research fields in which q-series and partitions are used. A vner Friedman Willard Miller, Jr. PREFACE This volume contains the Proceedings of the Workshop on q-Series and Parti­ tions held at the IMA on March 7-11, 1988. Also included are papers by Goodman and O‘Hara, Macdonald, and Zeilberger on unimodality. This work was of substan­ tial interest and discussed by many participants in the Workshop. The papers have been grouped into four parts: identities, unimodality of Gaus­ sian polynomials, constant term problems and related integrals, and orthogonal polynomials. They represent a cross section of the recent work on q-series includ­ ing
出版日期Conference proceedings 1989
关键词Combinatorics; Partition; differential equation; function; orthogonal polynomials
版次1
doihttps://doi.org/10.1007/978-1-4684-0637-5
isbn_softcover978-1-4684-0639-9
isbn_ebook978-1-4684-0637-5Series ISSN 0940-6573 Series E-ISSN 2198-3224
issn_series 0940-6573
copyrightSpringer-Verlag New York Inc. 1989
The information of publication is updating

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Macdonald Conjectures and the Selberg Integral,ectures and describe the results obtained so far. A useful tool in this study is Selberg’s integral, a multivariate extension of the beta integral. We will also give the connections between Selberg’s integral and Macdonald’s conjectures, and explain some other extensions of Selberg’s integral.
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Conference proceedings 1989e 1987-88 IMA program on APPLIED COMBINATORICS. We are grateful to the Scientific Committee: Victor Klee (Chairman), Daniel Kleitman, Dijen Ray-Chaudhuri and Dennis Stanton for planning and implementing an exciting and stimulating year­ long program. We especially thank the Workshop Organizer, Denni
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Some Macdonald-Mehta Integrals by Brute Force,erent generalizations of Mehta’s integral formula. The first generalization is in terms of finite Coxeter groups and depends on one parameter. The second generalization is in terms of root systems and the number of parameters in equal to the number of different root lengths. In the case of Weyl grou
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