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Proceedings of the American Mathematical Society

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

 

 

Applications of Andrews' basic Lauricella transformation


Author: D. M. Bressoud
Journal: Proc. Amer. Math. Soc. 72 (1978), 89-94
MSC: Primary 33A30; Secondary 10A45
DOI: https://doi.org/10.1090/S0002-9939-1978-0486677-1
MathSciNet review: 0486677
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Abstract: We view Andrews' transformation for the fourth basic Lauricella function as a multiple summation analog of Heine's fundamental transformation for $ _2{\phi _1}$. This leads to multiple summation analogs of several classical q-series identities, and a new proof of a recent partition theorem.


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DOI: https://doi.org/10.1090/S0002-9939-1978-0486677-1
Keywords: Basic hypergeometric function, basic Lauricella function, q-series, Kummer's Theorem, partition
Article copyright: © Copyright 1978 American Mathematical Society