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Few General Identities of Rogers-Ramanujan Type

Author : Dr. Kumud Chandra Nath

Abstract :

In this paper, we have derived some identities of Rogers-Ramanujan Type modulo 9s, 11s, 15s and 45s (where s is any finite positive integer) by using the transformation theory of Basic Hypergeometric Series and Bailey Lemma. Some particular cases of such identities also have been derived.

Keywords :

Rogers-Ramanujan Identity, Basic Hypergeometric Series, Jacobi’s Triple Product Identity, Bailey’s Lemma.