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

Raziya Sabri; Mohammad Shadab; Kotakkaran Sooppy Nisar; Shahadat Ali; Raziya Sabri; Mohammad Shadab; Kotakkaran Sooppy Nisar; Shahadat Ali

doi:10.3934/math.2022764

AIMS Mathematics

2022, Volume 7, Issue 8: 13845-13855. doi: 10.3934/math.2022764

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

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

Received: 18 December 2021 Revised: 19 April 2022 Accepted: 10 May 2022 Published: 24 May 2022
MSC : 05A15, 33C45, 33E20, 44A45

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.
- truncated exponential based Sheffer polynomials,
- factorization methods,
- differential equations,
- integral equations,
- integro-differential equation
Citation: Raziya Sabri, Mohammad Shadab, Kotakkaran Sooppy Nisar, Shahadat Ali. A new family of differential and integral equations of hybrid polynomials via factorization method[J]. AIMS Mathematics, 2022, 7(8): 13845-13855. doi: 10.3934/math.2022764

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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.

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