A recurring q -integral formula
In this paper, we use the q -Chu–Vandermonde formula to derive a recurring q -integral formula. Some applications of the recurring q -integral formula are also given, which include deriving the 3 ϕ 2 representation of the Al-Salam–Carlitz polynomials and the extension of the terminating Sears’ 3 ϕ 2...
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Published in | Applied mathematics letters Vol. 23; no. 3; pp. 256 - 260 |
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Main Author | |
Format | Journal Article |
Language | English |
Published |
Kidlington
Elsevier Ltd
01.03.2010
Elsevier |
Subjects | |
Online Access | Get full text |
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Summary: | In this paper, we use the
q
-Chu–Vandermonde formula to derive a recurring
q
-integral formula. Some applications of the recurring
q
-integral formula are also given, which include deriving the
3
ϕ
2
representation of the Al-Salam–Carlitz polynomials and the extension of the terminating Sears’
3
ϕ
2
transformation formula. |
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Bibliography: | ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 23 |
ISSN: | 0893-9659 1873-5452 |
DOI: | 10.1016/j.aml.2009.10.004 |