A new family of differential and integral equations of hybrid polynomials via factorization method

Author:

Sabri Raziya1,Shadab Mohammad2,Nisar Kotakkaran Sooppy3,Ali Shahadat1

Affiliation:

1. Department of Natural and Applied Sciences, School of Science and Technology, Glocal University, Saharanpur 247121, India

2. Department of Mathematics, School of Basic and Applied Sciences, Lingaya's Vidyapeeth (Deemed to be University), Faridabad-121002, Haryana, India

3. Department of Mathematics, College of Arts and Sciences, Prince Sattam bin Abdulaziz University, Wadi Aldawaser 11991, Saudi Arabia

Abstract

<abstract><p>In this study, we investigate differential and integral equations of some hybrid families of truncated exponential-based Sheffer polynomials. We also derive some integro-differential equation and new recurrence relations for the truncated exponential based Sheffer polynomials by using the factorization method. We also discuss some special cases as illustrative examples.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

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3. J. Choi, S. Sabee, M. Shadab, Some identities associated with 2-variable truncated exponential based Sheffer polynomial sequences, Commun. Korean Math. S., 35 (2020), 533–546. https://doi.org/10.4134/CKMS.c190104

4. G. Dattoli, Hermite-Bessel and Laguerre-Bessel functions: A by-product of the monomiality principle, In: Proceedings of the Melfi school on advanced topics in mathematics and physics, Aracne, Rome, 2000,147–164.

5. G. Dattoli, C. Cesarano, D. Sacchetti, A note on the monomiality principle and generalized polynomials, J. Math. Anal. Appl., 227 (1997), 98–111.

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