Integrals Involving H-Function of Several Complex Variables, Srivastava Polynomials and Exponential Functions

In this paper, we investigate the integration of an H-function of several complex variables combined with general class polynomials and an exponential function expressed in product form. To achieve this, we utilized specific definite integrals from established mathematical resources. The H-function, known for its extensive applications in complex analysis, is integrated with general class polynomials, which provide a broad framework for various polynomial functions, and an exponential function, a fundamental component in mathematical analysis. The integration process follows rigorous mathematical methods, resulting in expressions that are concise and simplified. The derived integrals are significant as they can be applied to solve complex problems in mathematical, statistical, and physical sciences, where products of different functions frequently appear. By presenting the results in a compact form, we facilitate easier application and further research in these fields. The findings of this paper contribute to the existing body of knowledge and offer practical tools for researchers dealing with complex variable functions and their integrals. This integration technique has the potential to simplify and solve intricate problems, thereby advancing theoretical and applied mathematics.