Document Type : Research Paper


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.


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.


Main Subjects

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