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q-Beta Integrals and Multivariate Basic Hypergeometric Series Associated to Root Systems of Type Am
被引：0
作者：
Robert A. Gustafson
Medhat A. Rakha
机构：
[1] Department of Mathematics,
[2] Texas A & M University,undefined
[3] College Station,undefined
[4] TX 77843,undefined
[5] USA,undefined
[6] e-mail: robert.gustafson@math.tamu.edu,undefined
[7] Department of Mathematics,undefined
[8] Faculty of Science,undefined
[9] Suez Canal University,undefined
[10] Ismailia,undefined
[11] 41522,undefined
[12] Egypt,undefined
[13] e-mail: mrakha@ismailia.ie-eg.com,undefined
关键词：
Keywords:q-series, q-beta integrals, integral transformations, hypergeometric series well poised on Lie algebras;
D O I：
10.1007/PL00001285
中图分类号：
学科分类号：
摘要：
In this paper we establish and prove two new q-beta integrals and two multivariate basic hypergeometric series associated to the root system of Am. We give a generalization of Jackson's well-poised \documentclass[12pt]{minimal}
\usepackage{amsmath}
\usepackage{wasysym}
\usepackage{amsfonts}
\usepackage{amssymb}
\usepackage{amsbsy}
\usepackage{mathrsfs}
\usepackage{upgreek}
\setlength{\oddsidemargin}{-69pt}
\begin{document}
$ _{8 \Psi 7} $\end{document} sum for one kind of series and a generalization of the q-Gauss sum for the other kind of series.
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页码：347 / 373
页数：26
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