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Research Article | Open Access

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

Raziya Sabri1, Mohammad Shadab2, Kotakkaran Sooppy Nisar3( ), Shahadat Ali1
Department of Natural and Applied Sciences, School of Science and Technology, Glocal University, Saharanpur 247121, India
Department of Mathematics, School of Basic and Applied Sciences, Lingaya's Vidyapeeth (Deemed to be University), Faridabad-121002, Haryana, India
Department of Mathematics, College of Arts and Sciences, Prince Sattam bin Abdulaziz University, Wadi Aldawaser 11991, Saudi Arabia
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Abstract

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.

Keywords

truncated exponential based Sheffer polynomialsfactorization methodsdifferential equationsintegral equationsintegro-differential equation
CLC number: 05A15, 33C45, 33E20, 44A45

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AIMS Mathematics
Volume 7 Issue 8,
August 2022
Pages 13845-13855
DOI: 10.3934/math.2022764

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Cite this article:
Sabri R, Shadab M, Nisar KS, et al. A new family of differential and integral equations of hybrid polynomials via factorization method. AIMS Mathematics, 2022, 7(8): 13845-13855. https://doi.org/10.3934/math.2022764

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Received: 18 December 2021
Revised: 19 April 2022
Accepted: 10 May 2022
Published: 15 August 2022
©2022 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)