A generalization of symmetric property beyond appell polynomials

Dae San Kim; Taekyun Kim; Hyuck In Kwon; Gawn Woo Jang; Toufik Mansour

doi:10.23001/pjms2017.20.2.145

A generalization of symmetric property beyond appell polynomials

Dae San Kim, Taekyun Kim, Hyuck In Kwon, Gawn Woo Jang, Toufik Mansour

Department of Mathematics

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

Abstract

Recently, Bayad and Komatsu gave characterizations of Appell polynomials by means of symmetric property and expressed them as linear combinations of Bernoulli and Euler polynomials. Further, they presented some interesting examples as applications. The aim of this paper is to note that their method can be generalized to not necessarily Appell polynomials so as to include, for example, higher-order Genocchi polynomials. Moreover, we provide several examples that illustrate our main result.

Original language	English
Pages (from-to)	145-152
Number of pages	8
Journal	Proceedings of the Jangjeon Mathematical Society
Volume	20
Issue number	2
DOIs	https://doi.org/10.23001/pjms2017.20.2.145
State	Published - 2017

Bibliographical note

Publisher Copyright:
© 2017 Jangjeon Research Institute for Mathematical Sciences and Physics. All rights reserved.

Keywords

Appell polynomials.
Bernoulli polynomials
Euler polynomials
Gennochi polynomials
Umbral calculus

ASJC Scopus subject areas

General Mathematics

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10.23001/pjms2017.20.2.145

Cite this

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abstract = "Recently, Bayad and Komatsu gave characterizations of Appell polynomials by means of symmetric property and expressed them as linear combinations of Bernoulli and Euler polynomials. Further, they presented some interesting examples as applications. The aim of this paper is to note that their method can be generalized to not necessarily Appell polynomials so as to include, for example, higher-order Genocchi polynomials. Moreover, we provide several examples that illustrate our main result.",

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AU - Kim, Dae San

AU - Kim, Taekyun

AU - Kwon, Hyuck In

AU - Jang, Gawn Woo

AU - Mansour, Toufik

PY - 2017

Y1 - 2017

N2 - Recently, Bayad and Komatsu gave characterizations of Appell polynomials by means of symmetric property and expressed them as linear combinations of Bernoulli and Euler polynomials. Further, they presented some interesting examples as applications. The aim of this paper is to note that their method can be generalized to not necessarily Appell polynomials so as to include, for example, higher-order Genocchi polynomials. Moreover, we provide several examples that illustrate our main result.

AB - Recently, Bayad and Komatsu gave characterizations of Appell polynomials by means of symmetric property and expressed them as linear combinations of Bernoulli and Euler polynomials. Further, they presented some interesting examples as applications. The aim of this paper is to note that their method can be generalized to not necessarily Appell polynomials so as to include, for example, higher-order Genocchi polynomials. Moreover, we provide several examples that illustrate our main result.

KW - Appell polynomials.

KW - Bernoulli polynomials

KW - Euler polynomials

KW - Gennochi polynomials

KW - Umbral calculus

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JF - Proceedings of the Jangjeon Mathematical Society

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ER -

A generalization of symmetric property beyond appell polynomials

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

Access to Document

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