A generalization of symmetric property beyond appell polynomials

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

doi:https://doi.org/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

University of Haifa

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	American 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

Keywords

Appell polynomials.
Bernoulli polynomials
Euler polynomials
Gennochi polynomials
Umbral calculus

All Science Journal Classification (ASJC) codes

General Mathematics

Access to Document

https://doi.org/10.23001/pjms2017.20.2.145

Cite this

@article{1995034d0cee43d0bb7ff83d85997533,

title = "A generalization of symmetric property beyond appell polynomials",

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.",

keywords = "Appell polynomials., Bernoulli polynomials, Euler polynomials, Gennochi polynomials, Umbral calculus",

author = "Kim, {Dae San} and Taekyun Kim and Kwon, {Hyuck In} and Jang, {Gawn Woo} and Toufik Mansour",

year = "2017",

doi = "https://doi.org/10.23001/pjms2017.20.2.145",

language = "American English",

volume = "20",

pages = "145--152",

journal = "Proceedings of the Jangjeon Mathematical Society",

issn = "1598-7264",

publisher = "Jangjeon Mathematical Society",

number = "2",

}

TY - JOUR

T1 - A generalization of symmetric property beyond appell polynomials

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

UR - http://www.scopus.com/inward/record.url?scp=85049633675&partnerID=8YFLogxK

U2 - https://doi.org/10.23001/pjms2017.20.2.145

DO - https://doi.org/10.23001/pjms2017.20.2.145

M3 - Article

SN - 1598-7264

VL - 20

SP - 145

EP - 152

JO - Proceedings of the Jangjeon Mathematical Society

JF - Proceedings of the Jangjeon Mathematical Society

IS - 2

ER -

A generalization of symmetric property beyond appell polynomials

Abstract

Keywords

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this