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Identities of the Rogers--Ramanujan--Bailey Type (1812.04459v1)
Published 11 Dec 2018 in math.CA
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.