Abstract

The objective of this paper is to establish some new integrations by studying the dual integration formulas involving the generalized function by employing the Mellin–Barnes integral technique introduced by Inayat Husain. This method uses a special function to solve problems in various fields of science. The derived results significantly extend a number of existing integral formulas available in the literature and yield several known identities as particular cases. The function play a crucial role in solving many problems of physics, mathematics, statistics and other subjects. We established the integral of the  function, because these formulae are general, they can also be used to develop more specific formulae.

Keywords

Generalized Function, Mellin–Barnes Contour Integral, Dual Integral Transform, Wright Hypergeometric Function.

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