Apostol-Euler polynomials arising from umbral calculus

Taekyun Kim; Toufik Mansour; Seog Hoon Rim; Sang Hun Lee

doi:10.1186/1687-1847-2013-301

Apostol-Euler polynomials arising from umbral calculus

Taekyun Kim, Toufik Mansour, Seog Hoon Rim, Sang Hun Lee

Department of Mathematics

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

Abstract

In this paper, by using the orthogonality type as defined in the umbral calculus, we derive an explicit formula for several well-known polynomials as a linear combination of the Apostol-Euler polynomials.

Original language	English
Article number	301
Journal	Advances in Difference Equations
Volume	2013
DOIs	https://doi.org/10.1186/1687-1847-2013-301
State	Published - Nov 2013

Bibliographical note

Funding Information:
This paper is supported in part by the Research Grant of Kwangwoon University in 2013.

Keywords

Bernoulli polynomial
Bessel polynomial
Euler polynomial
Frobenius-Euler polynomial
Umbral calculus

ASJC Scopus subject areas

Analysis
Algebra and Number Theory
Applied Mathematics

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10.1186/1687-1847-2013-301

Cite this

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title = "Apostol-Euler polynomials arising from umbral calculus",

abstract = "In this paper, by using the orthogonality type as defined in the umbral calculus, we derive an explicit formula for several well-known polynomials as a linear combination of the Apostol-Euler polynomials.",

keywords = "Bernoulli polynomial, Bessel polynomial, Euler polynomial, Frobenius-Euler polynomial, Umbral calculus",

author = "Taekyun Kim and Toufik Mansour and Rim, {Seog Hoon} and Lee, {Sang Hun}",

note = "Funding Information: This paper is supported in part by the Research Grant of Kwangwoon University in 2013. ",

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doi = "10.1186/1687-1847-2013-301",

language = "English",

volume = "2013",

journal = "Advances in Difference Equations",

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AU - Kim, Taekyun

AU - Mansour, Toufik

AU - Rim, Seog Hoon

AU - Lee, Sang Hun

N1 - Funding Information: This paper is supported in part by the Research Grant of Kwangwoon University in 2013.

PY - 2013/11

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N2 - In this paper, by using the orthogonality type as defined in the umbral calculus, we derive an explicit formula for several well-known polynomials as a linear combination of the Apostol-Euler polynomials.

AB - In this paper, by using the orthogonality type as defined in the umbral calculus, we derive an explicit formula for several well-known polynomials as a linear combination of the Apostol-Euler polynomials.

KW - Bernoulli polynomial

KW - Bessel polynomial

KW - Euler polynomial

KW - Frobenius-Euler polynomial

KW - Umbral calculus

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U2 - 10.1186/1687-1847-2013-301

DO - 10.1186/1687-1847-2013-301

M3 - Article

AN - SCOPUS:84897878730

SN - 1687-1839

VL - 2013

JO - Advances in Difference Equations

JF - Advances in Difference Equations

M1 - 301

ER -

Apostol-Euler polynomials arising from umbral calculus

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

Access to Document

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