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CERTAIN INTEGRALS INVOLVING THE PRODUCT OF GAUSSIAN HYPERGEOMETRIC FUNCTION AND ALEPH FUNCTION

Suthar, D.L.;Agarwal, S.;Kumar, Dinesh

  • Received : 2017.05.28
  • Accepted : 2019.01.21
  • Published : 2019.03.25

Abstract

The aim of this paper is to establish certain integrals involving product of the Aleph function with exponential function and multi Gauss's hypergeometric function. Being unified and general in nature, these integrals yield a number of known and new results as special cases. For the sake of illustration, twelve corollaries are also recorded here as special case of our main results.

Keywords

Aleph function;Hypergeometric function;H-Function;I-function;Mellin-Barnes type contour integral