A Note on q-Integrals and Certain Generating Functions

被引：11
|
作者：
Cao, Jian [1 ]
机构：
[1] Hangzhou Normal Univ, Hangzhou 310036, Zhejiang, Peoples R China
来源：
STUDIES IN APPLIED MATHEMATICS | 2013年 / 131卷 / 02期
基金：
中国博士后科学基金; 中国国家自然科学基金;
关键词：
OPERATOR IDENTITIES; CAUCHY OPERATOR; EXTENSION;
D O I：
10.1111/sapm.12002
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, generalizations of certain q-integrals are given by the method of q-difference equation, which involves the Andrews-Askey integral. In addition, some mixed generating functions for generalized Rogers-Szego polynomials are obtained by the technique of q-integral. More over, generating functions for generalized Andrews-Askey polynomials are achieved by q-integral.
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页码：105 / 118
页数：14
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