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Sur Une Formule de Ramanujan-Bailey

Published online by Cambridge University Press:  20 November 2018

Jiang Zeng
Jiang Zeng*
Affiliation:
Département de mathématique, Université Louis-Pasteur, 7, rue René-Descartes, F-67084 Strausbourg, France
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Abstract

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The Ramanujan-Bailey identity that establishes a symmetric relation between two hypergeometric series 3 F 2 is extended to a symmetric relation between two hypergeometric series 4 F 3. We also give a symmetric model that makes this symmetry evident.

Résumé

Résumé

L'identité de Ramanujan-Bailey, qui établit une relation symétrique entre deux séries hypergéométriques 3 F 2, est généralisée en une relation symétrique entre deux séries hypergéométriques 4 F 3. On construit également un modèle symétrique qui rend compte de cette symétrie.

Keywords

05A1533A15

Information

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 42 , Issue 4 , 01 August 1990 , pp. 607 - 618
Copyright
Copyright © Canadian Mathematical Society 1990

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