On Apostol-Type Hermite Degenerated Polynomials

Clemente Cesarano (), William Ramírez (), Stiven Díaz, Adnan Shamaoon and Waseem Ahmad Khan
Additional contact information
Clemente Cesarano: Section of Mathematics, Universitá Telematica Internazionale Uninettuno, 00186 Rome, Italy
William Ramírez: Section of Mathematics, Universitá Telematica Internazionale Uninettuno, 00186 Rome, Italy
Stiven Díaz: Departamento de Ciencias Naturales y Exactas, Universidad de la Costa, Barranquilla 00928-1345, Colombia
Adnan Shamaoon: Syed Babar Ali School of Science and Engineering, Lahore University of Management Sciences, Lahore 54792, Pakistan
Waseem Ahmad Khan: Department of Mathematics and Natural Sciences, Prince Mohammad Bin Fahd University, P.O. Box 1664, Al Khobar 31952, Saudi Arabia

Mathematics, 2023, vol. 11, issue 8, 1-13

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 .

Keywords: Hermite polynomials; Apostol-type polynomials; degenerate Apostol-type polynomials (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

Downloads: (external link)
https://www.mdpi.com/2227-7390/11/8/1914/pdf (application/pdf)
https://www.mdpi.com/2227-7390/11/8/1914/ (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:gam:jmathe:v:11:y:2023:i:8:p:1914-:d:1126683

Access Statistics for this article

Mathematics is currently edited by Ms. Emma He

More articles in Mathematics from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().