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Research Article | Open Access

Some families of differential equations associated with the Gould-Hopper-Frobenius-Genocchi polynomials

Rabab Alyusof1, Mdi Begum Jeelani2( )
Department of Mathematics, College of Science, King Saud University, Riyadh, Saudi Arabia
Department of Mathematics and Statistics, College of Science, Imam Mohammad Ibn Saud Islamic University (IMSIU), Riyadh, Saudi Arabia
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An erratum to this article is available online at:
https://doi.org/10.3934/math.20221116

Abstract

The basic objective of this paper is to utilize the factorization technique method to derive several properties such as, shift operators, recurrence relation, differential, integro-differential, partial differential expressions for Gould-Hopper-Frobenius-Genocchi polynomials, which can be utilized to tackle some new issues in different areas of science and innovation.

Keywords

recurrence relationshift operatorsdifferential equationintegro-differential equationpartial differential equation
CLC number: 45J05, 65Q30, 65R20

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AIMS Mathematics
Volume 7 Issue 3,
March 2022
Pages 4851-4860
DOI: 10.3934/math.2022270

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Cite this article:
Alyusof R, Jeelani MB. Some families of differential equations associated with the Gould-Hopper-Frobenius-Genocchi polynomials. AIMS Mathematics, 2022, 7(3): 4851-4860. https://doi.org/10.3934/math.2022270

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Received: 06 October 2021
Revised: 04 November 2021
Accepted: 13 December 2021
Published: 15 March 2021
©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)