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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

Some transformations of basic hypergeometric series and their applications


Author: V. K. Jain
Journal: Proc. Amer. Math. Soc. 78 (1980), 375-384
MSC: Primary 33A30; Secondary 10J20
DOI: https://doi.org/10.1090/S0002-9939-1980-0553380-8
MathSciNet review: 553380
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Abstract: Using Bailey's transformation, relations between basic and basic bilateral hypergeometric series are obtained. Some interesting special cases, like identities of Rogers-Ramanujan type, summation theorems for particular basic bilateral hypergeometric series $ _2{\psi _2}$, are also discussed.


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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1980-0553380-8
Keywords: Basic bilateral hypergeometric series, Bailey's transformation, identities of Rogers-Ramanujan type
Article copyright: © Copyright 1980 American Mathematical Society