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.