A remark on Andrews–Askey integral

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–Saalschütz formula and the terminating Sears's ϕ 2 3 transformation formula....

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Bibliographic Details
Published inJournal of mathematical analysis and applications Vol. 341; no. 2; pp. 1487 - 1494
Main Author Wang, Mingjin
Format Journal Article
LanguageEnglish
Published San Diego, CA Elsevier Inc 15.05.2008
Elsevier
Subjects
Andrews–Askey integral
Exact sciences and technology
Mathematical analysis
Mathematics
q-Chu–Vandermonde formula
q-Pfaff–Saalschütz formula
Sciences and techniques of general use
Sears's [formula omitted] transformation formula
Andrews–Askey integral
q-Pfaff–Saalschütz formula
Sears's ϕ 2 3 transformation formula
q-Chu–Vandermonde formula
q-Chu-Vandermonde formula
q-Pfaff-Saalschütz formula
Andrews-Askey integral
Sears's 3Ø2 transformation formula
Mathematical analysis
Application
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Summary: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–Saalschütz formula and the terminating Sears's ϕ 2 3 transformation formula.
ISSN:0022-247X
1096-0813
DOI:10.1016/j.jmaa.2007.11.011