On Apostol-Type Hermite Degenerated Polynomials

Author:

Cesarano Clemente1,Ramírez William12ORCID,Díaz Stiven2ORCID,Shamaoon Adnan3ORCID,Khan Waseem Ahmad4ORCID

Affiliation:

1. Section of Mathematics, Universitá Telematica Internazionale Uninettuno, 00186 Rome, Italy

2. Departamento de Ciencias Naturales y Exactas, Universidad de la Costa, Barranquilla 00928-1345, Colombia

3. Syed Babar Ali School of Science and Engineering, Lahore University of Management Sciences, Lahore 54792, Pakistan

4. Department of Mathematics and Natural Sciences, Prince Mohammad Bin Fahd University, P.O. Box 1664, Al Khobar 31952, Saudi Arabia

Abstract

This article presents a generalization of new classes of degenerated Apostol–Bernoulli, Apostol–Euler, and Apostol–Genocchi Hermite polynomials of level m. We establish some algebraic and differential properties for generalizations of new classes of degenerated Apostol–Bernoulli polynomials. These results are shown using generating function methods for Apostol–Euler and Apostol–Genocchi Hermite polynomials of level m.

Publisher

MDPI AG

Subject

General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)

Cited by 1 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. New $U$-Bernoulli, $U$-Euler and $U$-Genocchi polynomials and their matrices;Carpathian Mathematical Publications;2023-11-21

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