Identities of the Rogers-Ramanujan-Bailey Type

Andrew V. Sills

doi:10.1016/j.jmaa.2004.11.061

Identities of the Rogers-Ramanujan-Bailey Type

Andrew V. Sills

Mathematical Sciences

Rutgers, The State University of New Jersey

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

A multiparameter generalization of the Bailey pair is defined in such a way as to include as special cases all Bailey pairs considered by W.N. Bailey in his paper [Identities of the Rogers–Ramanujan type, Proc. London Math. Soc. (2) 50 (1949) 421–435]. This leads to the derivation of a number of elegant new Rogers–Ramanujan type identities.

Original language	American English
Journal	Journal of Mathematical Analysis and Applications
Volume	308
DOIs	https://doi.org/10.1016/j.jmaa.2004.11.061
State	Published - Aug 15 2005

Disciplines

Mathematics

Keywords

Bailey Pairs
Basic Hypergeometric Series
Q-series Identities
Rogers–ramanujan Identities

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10.1016/j.jmaa.2004.11.061License: Unspecified

Cite this

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KW - Basic Hypergeometric Series

KW - Q-series Identities

KW - Rogers–ramanujan Identities

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Identities of the Rogers-Ramanujan-Bailey Type

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Keywords

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