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arXiv:1812.04459 [math.CA]AbstractReferencesReviewsResources

Identities of the Rogers--Ramanujan--Bailey Type

Andrew V. Sills

Published 2018-12-11Version 1

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.

Comments: 23 pages
Journal: Journal of Mathematical Analysis and Applications 308 (2005) 669--688
Categories: math.CA
Subjects: 11B65, 33D15, 05A19
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