New Unified Integral Formula Involving H-Function and General Polynomial of Multivariable

The primary objective of this research paper is to evaluate and analyses a new class of integrals involving the H -function in conjunction with Srivastavas polynomial. The study seeks to derive explicit integral representations by employing standard integrals from the well-established table of Mellin transforms. Through this investigation, we aim to establish novel identities and functional relationships that emerge from the interplay between the H -function and Srivastavas polynomial, thereby contributing to the broader theory of special functions. The outcomes of this research are expected to generalize and unify various known results, while also offering new mathematical tools for application in fields such as mathematical physics, engineering, and computational analysis.