International Journal of Mathematics Trends and Technology
Volume 70 | Issue 8 | Year 2024 | Article Id. IJMTT-V70I8P102 | DOI : https://doi.org/10.14445/22315373/IJMTT-V70I8P102
| Received | Revised | Accepted | Published |
|---|---|---|---|
| 20 Jun 2024 | 29 Jul 2024 | 14 Aug 2024 | 31 Aug 2024 |
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.
Exponential function, General Class Srivastava’s Polynomials, Multivariable H-function.
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Naresh Bhati, R.K. Gupta, "Integrals Involving H-Function of Several Complex Variables, Srivastava Polynomials and Exponential Functions," International Journal of Mathematics Trends and Technology (IJMTT), vol. 70, no. 8, pp. 11-20, 2024. Crossref, https://doi.org/10.14445/22315373/IJMTT-V70I8P102
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