Bilinear generating relations for a family of q-polynomials and generalized basic hypergeometric functions

S. D. Purohit; V. K. Vyas; R. K. Yadav

doi:10.12697/ACUTM.2012.16.11

S. D. Purohit Department of Basic Sciences (Mathematics), College of Tech- nology and Engineering, M.P. University of Agriculture and Technology, Udaipur-313001, India
V. K. Vyas Department of Mathematics and Statistics, J.N. Vyas University, Jodhpur-342005, India
R. K. Yadav Department of Mathematics and Statistics, J.N. Vyas University, Jodhpur-342005, India

DOI: https://doi.org/10.12697/ACUTM.2012.16.11

Keywords: q-generating function, basic analogue of Fox's H-function, q-polynomials

Abstract

In this paper, we derive a bilinear q-generating function involving basic analogue of Fox's H-function and a general class of q-hypergeometric polynomials. Applications of the main results are also illustrated.

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