Evaluation of Integrals Involving Products of Srivastava Polynomials and Incomplete H-Function of Several Complex Variables

Dr. Amit Mathur, Keshav Charan Pareek

Abstract: In this study, we examine integrals involving the incomplete H-function of several complex variables in combination with general class polynomials represented in product form. By employing definite integrals from well-known mathematical references, we derive closed-form results that highlight the interplay between special functions and polynomial structures. The incomplete H-function, known for its remarkable generality and applications in multivariate function theory, is here integrated with polynomial structures that unify many classical families. The integrals derived are expressed in a simplified and compact form, making them particularly suitable for applications in mathematical physics, probability theory, and statistical modeling. These results not only broaden the scope of incomplete special functions but also offer efficient tools for handling problems involving products of functions in multidimensional settings. Furthermore, the work provides a foundation for future investigations into more general classes of incomplete multivariable functions and their applications.

Keywords: Multivariable incomplete H-function, Improper integral, General Class Srivastava's Polynomials

How to Cite?: Dr. Amit Mathur, Keshav Charan Pareek, "Evaluation of Integrals Involving Products of Srivastava Polynomials and Incomplete H-Function of Several Complex Variables", Volume 14 Issue 10, October 2025, International Journal of Science and Research (IJSR), Pages: 1583-1589, https://www.ijsr.net/getabstract.php?paperid=SR251029194605, DOI: https://dx.doi.org/10.21275/SR251029194605