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

Naresh Bhati

Abstract: The primary objective of this research paper is to evaluate and analyses a new class of integrals involving the H ?-function in conjunction with Srivastava?s 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 Srivastava's 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.

Keywords: H-function, General polynomial, Meijer G-function, hypergeometric function

How to Cite?: Naresh Bhati, "New Unified Integral Formula Involving H-Function and General Polynomial of Multivariable", Volume 14 Issue 5, May 2025, International Journal of Science and Research (IJSR), Pages: 1209-1212, https://www.ijsr.net/getabstract.php?paperid=SR25514185303, DOI: https://dx.doi.org/10.21275/SR25514185303