Recently, Vyas et al. have developed an alternative way of proof for the Gasper's discrete
analogue of an Erdélyi integral and inspired from this new type of derivation they resolved …

Recently we discovered several new Erdélyi type integrals. In the present paper, it is shown
how the q-extensions of all those integrals involving and representing certain q …

Basic (or q-) series and basic (or q-) polynomials, especially the basic (or q-) hypergeometric
functions and the basic (or q-) hypergeometric polynomials are studied extensively and …

This work is motivated essentially by the fact that the applications of basic (or q-)
hypergeometric functions are frequently needed in the form of summations, transformations …

We present three q-Taylor formulas with q-integral remainder. The two last proofsrequire a
slight rearrangement by a well-known formula. The first formula has been given in different …

The purpose of this article is to study convergence regions and q-integral representations of
certain non-symmetric q-Lauricella functions and quadruple functions in the spirit of Exton. In …

We introduce the (p, q)-extended τ-hypergeometric and confluent hypergeometric functions
along with their integral representations. We also present closed integral expressions for the …

The subject of q-analysis, which is popularly known as quantum analysis, has its roots in
such important areas as (for example) Mathematical Physics, Analytic Number Theory, and …

q-ANALOGUES OF SAIGO FRACTIONAL INTEGRALS AND DERIVATIVES OF
GENERALIZED BASIC HYPERGEOMETRIC SERIES Page 1 Palestine Journal of …

We present here the $ q $-analogues of certain transformations or reduction formulae for
Srivastava-Daoust type double hypergeometric series. These reduction formulae are …