On Apostol-Type Hermite Degenerated Polynomials

Clemente Cesarano; William Ramírez; Stiven Díaz; Adnan Shamaoon; Waseem Ahmad Khan

doi:10.3390/math11081914

On Apostol-Type Hermite Degenerated Polynomials

Clemente Cesarano^*, William Ramírez^*, Stiven Díaz, Adnan Shamaoon, Waseem Ahmad Khan

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

14 Citations (Scopus)

16 Downloads (Pure)

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.

Original language	English
Article number	1914
Number of pages	13
Journal	Mathematics
Volume	11
Issue number	8
DOIs	https://doi.org/10.3390/math11081914
Publication status	Published - 18 Apr 2023
Externally published	Yes

Keywords

Hermite polynomials
Apostol-type polynomials
degenerate Apostol-type polynomials

Access to Document

10.3390/math11081914Licence: CC BY

mathematics-11-01914-v2Final published version, 285 KBLicence: CC BY

Cite this

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title = "On Apostol-Type Hermite Degenerated Polynomials",

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",

author = "Clemente Cesarano and William Ram{\'i}rez and Stiven D{\'i}az and Adnan Shamaoon and Khan, {Waseem Ahmad}",

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AU - Cesarano, Clemente

AU - Ramírez, William

AU - Díaz, Stiven

AU - Shamaoon, Adnan

AU - Khan, Waseem Ahmad

PY - 2023/4/18

Y1 - 2023/4/18

N2 - 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.

AB - 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.

KW - Hermite polynomials

KW - Apostol-type polynomials

KW - degenerate Apostol-type polynomials

U2 - 10.3390/math11081914

DO - 10.3390/math11081914

M3 - Article

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VL - 11

JO - Mathematics

JF - Mathematics

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