Some New Results for the $\mathscr{M}$-Transform Involving the Incomplete $I$-Functions

Bhatter, Sanjay; -, Nishant; Purohit, Sunil Dutt

doi:10.22130/scma.2023.1990549.1265

Document Type : Research Paper

Authors

¹ Department of Mathematics, Malaviya National Institute of Technology Jaipur, India.

² Department of HEAS (Mathematics), Rajasthan Technical University, Kota, India.

³ Department of Computer Science and Mathematics, Lebanese American University, Beirut, Lebanon.

https://doi.org/10.22130/scma.2023.1990549.1265

Abstract

Integral transformations are crucial for solving a variety of actual issues. The right choice of integral transforms aids in simplifying both integral and differential problems into a solution-friendly algebraic equation. In this paper, $\mathscr{M}$-transform is applied to establish the image formula for the multiplication of a family of polynomials and incomplete $I$-functions. Additionally, we discovered image formulations for a few significant and valuable cases of incomplete $I$-functions. Numerous previously unknown and novel conclusions can be reached by assigning specific values to the parameters involved in the primary conclusions drawn in this study.

Keywords

Main Subjects

Special Functions

References

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Sahand Communications in Mathematical Analysis

Some New Results for the $\mathscr{M}$-Transform Involving the Incomplete $I$-Functions

References

References

Volume 21, Issue 2
March 2024
Pages 1-23

Some New Results for the $\mathscr{M}$-Transform Involving the Incomplete $I$-Functions

References

References

Volume 21, Issue 2March 2024Pages 1-23

Volume 21, Issue 2
March 2024
Pages 1-23