Certain Bibasic Hypergeometric Transformation Formulae and Their Application to Rogers–Ramanujan Identities

Abstract

In this paper, a variety of generalized bibasic hypergeometric transformation formulae have been investigated with the objective of finding a multiple series generalized Rogers–Ramanujan type of identity. It has been shown that some very interesting new multiple series identities of the Rogers–Ramanujan type can be found where there is more than one infinite product in which the terms in each product advance in different powers ofq.