Some Rogers-Ramanujan type multi sum identities can be expressed in terms of infinite products. In this paper, an attempt has been made to establish the certain results involving the multi summation expressions and ratio of infinite products by using well known m dissections of the power series.
Keywords and Phrases
Ratio’s of infinite products, Bailey pair’s, Bailey lemma, Rogers-Ramanujan type multi sum identities.
A.M.S. subject classiﬁcation
Primary 05A30, 05A10; Secondary 33D90, 33D15, 11P82.