关于多变量Askey-Wilson积分的推广

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英文篇名：Generalizations of Askey-Wilson Integral with Multiple Variables 作者：蔡利平 ; 曹健 英文作者：CAI Liping;CAO Jian;School of Science, Hangzhou Normal University; 关键词：q-正交多项式 ; q-差分方程 ; Askey-Wilson积分 ; Bailey ; _6ψ_6 英文关键词：q-orthogonal polynomials;;q-difference equation;;Askey-Wilson integral;;Bailey _6ψ_6 中文刊名：HSFZ 英文刊名：Journal of Hangzhou Normal University(Natural Science Edition) 机构：杭州师范大学理学院; 出版日期：2019-05-26 07:00 出版单位：杭州师范大学学报(自然科学版) 年：2019 期：v.18;No.102 基金：国家自然科学基金项目(11501155) 语种：中文; 页：HSFZ201903011 页数：7 CN：03 ISSN：33-1348/N 分类号：64-70

摘要

讨论了特殊函数中以q-多项式作为形式解的q-差分方程的相关问题,并利用q-差分方程的方法推广了多变量Askey-Wilson积分及其逆积分,得到了Bailey _6ψ_6求和公式新的多变量拓广.
        In this paper, q-difference equations and related problems in special functions, whose formal solutions are q-polynomials, are discussed. Multivariable Askey-Wilson integral and its inverse integral are extended by the method of q-difference equation. In addition, Bailey _6ψ_6 summation is generalized.

引文

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