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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Published in | Journal of mathematical analysis and applications Vol. 341; no. 2; pp. 1487 - 1494 |
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Main Author | |
Format | Journal Article |
Language | English |
Published |
San Diego, CA
Elsevier Inc
15.05.2008
Elsevier |
Subjects | |
Online Access | Get full text |
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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 |