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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

On the $ q$-analogues of some transformations of nearly-poised hypergeometric series


Authors: B. Nassrallah and Mizan Rahman
Journal: Trans. Amer. Math. Soc. 268 (1981), 211-229
MSC: Primary 33A30
MathSciNet review: 628455
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Abstract: A number of transformation formulas for very well-poised basic hypergeometric series have been obtained which, in the limit $ q \to 1 - $, approach the known transformation formulas for nearly-poised ordinary hypergeometric series.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9947-1981-0628455-0
PII: S 0002-9947(1981)0628455-0
Keywords: Basic hypergeometric series, bi-basic series, very well-poised series, nearly-poised series transformations
Article copyright: © Copyright 1981 American Mathematical Society