A remark on Andrews-Askey integral

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:341

Article

Wang, Mingjin^1,2 

[1] E China Normal Univ, Dept Math, Shanghai 200062, Peoples R China

[2] Jiangsu Polytech Univ, Dept Informat Sci, Changzhou City 213164, Jiangsu, Peoples R China

关键词: Andrews-Askey integral;    q-Chu-Vandermonde formula;    q-Pfaff-Saalschutz formula;    Sears's (3)phi(2) transformation formula;   

DOI  :  10.1016/j.jmaa.2007.11.011

来源: Elsevier

【 摘 要 】

In this paper, we use the Andrews-Askey integral and the q-Chu-Vandermonde formula to derive a more general integral formula. Applications of the new integral formula are also given, which include to derive the q-Pfaff-Saalschutz formula and the terminating Sears's (3)phi(2) transformation formula. (C) 2007 Elsevier Inc. All rights reserved.

【 授权许可】

Free