Study of Extended Hermite-Appell Polynomial via Fractional Operators

Authors

Anjali Goswami, Department of Basic Science, College of Science and Theoretical Studies, Saudi Electronic University, Riyadh-11673, Saudi ArabiaFollow
Mohammad Faisal Khan, Department of Basic Science, College of Science and Theoretical Studies, Saudi Electronic University, Riyadh-11673, Saudi ArabiaFollow
Mohammad Shadab, Department of Mathematics, School of Basic and Applied Sciences, Lingaya’s Vidyapeeth (Deemed to be University), Faridabad- 121002, Haryana, IndiaFollow

Author Country (or Countries)

India

Abstract

The motive of this research paper is to establish the generalized Hermite and generalized Hermite-Appell polynomials by combining the operational definitions and integral representations. The explicit summation formulae, determinant and recurrence relations for the generalized Hermite-Appell polynomials are derived by applying the integral transforms and appropriate operational rules. For the application purpose, we present the corresponding results for the generalized Hermite-Bernoulli, generalized Hermite- Euler, and Hermite-Genocchi polynomials.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/amis/170105

Recommended Citation

Goswami, Anjali; Faisal Khan, Mohammad; and Shadab, Mohammad (2023) "Study of Extended Hermite-Appell Polynomial via Fractional Operators," Applied Mathematics & Information Sciences: Vol. 17: Iss. 1, Article 5.
DOI: http://dx.doi.org/10.18576/amis/170105
Available at: https://digitalcommons.aaru.edu.jo/amis/vol17/iss1/5