Evaluation of Infinite Integrals Involving the H-Function of Two Variables

Abstract

In this research, we delve into the intricate realm of infinite integrals featuring the H-function of two variables, a powerful mathematical construct that encompasses various special functions. By exploring the H-function's versatility, we uncover novel solutions to integrals that emerge in diverse fields such as applied mathematics, physics, and engineering. Through rigorous analysis, we derive concise closed-form expressions for a range of infinite integral classes, shedding new light on their properties and applications.