A bibasic hypergeometric transformation associated with combinatorial identities of the Rogers-Ramanujan type

DOI10.1007/BF02840589zbMath0834.33013MaRDI QIDQ1901340

Yanyan Li

Publication date: 10 April 1996

Published in: Proceedings of the Indian Academy of Sciences. Mathematical Sciences (Search for Journal in Brave)

zbMATH Keywords

auxiliary functionsbibasic hypergeometric series\(q\)-hypergeometric identitiesunibasic hypergeometric series

Mathematics Subject Classification ID

Bibasic functions and multiple bases (33D65)

Related Items (1)

Further bibasic hypergeometric transformations and their applications

Cites Work

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• Certain generalized hypergeometric identities of the Rogers-Ramanujan type. I, II
• Transformations between basic hypergeometric series on different bases and identities of Rogers-Ramanujan type
• Generalizations of the Rogers-Ramanujan identities
• AN ANALYTIC GENERALIZATION OF THE ROGERS-RAMANUJAN IDENTITIES WITH INTERPRETATION
• Analytic and combinatorial generalizations of the Rogers-Ramanujan identities
• An Analytic Generalization of the Rogers-Ramanujan Identities for Odd Moduli
• GENERALIZED BASIC HYPERGEOMETRIC SERIES WITH UNCONNECTED BASES (II)
• Identities of the Rogers-Ramanujan Type
• Some Identities in Combinatory Analysis
• Transformations of Basic Hypergeometric Functions of Special Type
• A New Proof of Rogers's Transformations of Infinite Series
• Further Identities of the Rogers-Ramanujan Type

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