Further bibasic hypergeometric transformations and their applications

In this paper, we give several new transformation formulae and generalize one result obtained by Singh [U.B. Singh, Certain bibasic hypergeometric transformations and their applications, J. Math. Anal. Appl. 201 (1996) 44–56] with the help of Bailey’s transform. Further, some new multiple series identities of the Rogers–Ramanujan type are established. © 2005 Elsevier Inc. All rights reserved