Certain Laguerre-based Generalized Apostol Type Polynomials

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Published: Jan 18, 2022
Updated: 2022-01-18
DOI: https://doi.org/10.5556/j.tkjm.53.2022.3491
Keywords:
Laguerre polynomials Hermite polynomials Hermite-based generalized Apostol type polynomials Laguerre-based generalized Apostol type polynomials implicit formula summation formulae symmetric identities

Main Article Content

Junesang Choi
Dongguk University
https://orcid.org/0000-0002-7240-7737
Nabiullah Khan
Aligarh Muslim University
https://orcid.org/0000-0003-0389-7899
Talha Usman
Lingaya's Vidyapeeth
https://orcid.org/0000-0002-4208-6784

Abstract

A variety of polynomials, their extensions and variants have been extensively investigated, due mainly to their potential applications in diverse research areas. In this paper, we aim to introduce Laguerre-based generalized Apostol type polynomials and investigate some properties and identities involving them. Among them, some differential-recursive relations for the Hermite-Laguerre polynomials, which are expressed in terms of generalized Apostol type numbers and the Laguerre-based generalized Apostol type polynomials, an implicit summation formula and addition-symmetry identities for the Laguerre-based generalized Apostol type polynomials are presented. The results presented here, being very general, are pointed out to reduce to yield some known or new formulas and identities for relatively simple polynomials and numbers.

Article Details

How to Cite
Choi, J., Khan, N., & Usman, T. (2022). Certain Laguerre-based Generalized Apostol Type Polynomials. Tamkang Journal of Mathematics, 53(1), 59–74. https://doi.org/10.5556/j.tkjm.53.2022.3491
Issue
Vol. 53 No. 1 (2022)
Section
Papers
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This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

Author Biography

Junesang Choi, Dongguk University

Full Professor

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