Summation formulae for basic hypergeometric functions via fractional q-calculus

  • Sunil Dutt Purohit
Keywords: Basic hypergeometric functions, basic Lauricell function, fractional q-differential operator and q-Leibniz rule

Abstract

The object of this paper is to illustrate how the q-fractional calculus approach can be employed to derive a number of summation formulae for the generalized basic hypergeometric functions of one and more variables in terms of the q-gamma functions.
Published
2010-01-18
Section
Articoli