Identities of the Rogers--Ramanujan--Bailey Type

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.

23 pages

References in corpus (1)

• $q$-Difference Equations and Identities of the Rogers--Ramanujan--Bailey Type

Cited by in corpus (3)

• Identities of the Rogers--Ramanujan--Slater Type
• Bailey Type Transforms and Applications
• $q$-Difference Equations and Identities of the Rogers--Ramanujan--Bailey Type