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

Rabab Alyusof; Mdi Begum Jeelani; Rabab Alyusof; Mdi Begum Jeelani

doi:10.3934/math.2022270

AIMS Mathematics

2022, Volume 7, Issue 3: 4851-4860. doi: 10.3934/math.2022270

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

Rabab Alyusof ¹,
Mdi Begum Jeelani ^{2
,
,}

1.
Department of Mathematics, College of Science, King Saud University, Riyadh, Saudi Arabia
2.
Department of Mathematics and Statistics, College of Science, Imam Mohammad Ibn Saud Islamic University (IMSIU), Riyadh, Saudi Arabia
Correction on: AIMS Mathematics 7: 20381-20382

Received: 06 October 2021 Revised: 04 November 2021 Accepted: 13 December 2021 Published: 28 December 2021
MSC : 45J05, 65Q30, 65R20

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.
- recurrence relation,
- shift operators,
- differential equation,
- integro-differential equation,
- partial differential equation
Citation: Rabab Alyusof, Mdi Begum Jeelani. Some families of differential equations associated with the Gould-Hopper-Frobenius-Genocchi polynomials[J]. AIMS Mathematics, 2022, 7(3): 4851-4860. doi: 10.3934/math.2022270

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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.

References

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