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

  • 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
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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Published
2020-09-25
Section
Articles