Modified Apostol-type polynomials arising from umbral calculus

Toufik Mansour; Hacer Ozden; Yilmaz Simsek

Modified Apostol-type polynomials arising from umbral calculus

Toufik Mansour, Hacer Ozden, Yilmaz Simsek

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 modified Apostol-type polynomials.

Original language	English
Pages (from-to)	175-182
Number of pages	8
Journal	Advanced Studies in Contemporary Mathematics (Kyungshang)
Volume	24
Issue number	2
State	Published - Apr 2014

Keywords

Apostol-type polynomials
Bernoulli polynomial
Bessel polynomial
Euler polynomial
Umbral calculus

ASJC Scopus subject areas

General Mathematics

Cite this

@article{56a12a624ee74269b05d13ef2babf743,

title = "Modified Apostol-type 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 modified Apostol-type polynomials.",

keywords = "Apostol-type polynomials, Bernoulli polynomial, Bessel polynomial, Euler polynomial, Umbral calculus",

author = "Toufik Mansour and Hacer Ozden and Yilmaz Simsek",

year = "2014",

month = apr,

language = "English",

volume = "24",

pages = "175--182",

journal = "Advanced Studies in Contemporary Mathematics (Kyungshang)",

issn = "1229-3067",

publisher = "Jangjeon Mathematical Society",

number = "2",

}

TY - JOUR

T1 - Modified Apostol-type polynomials arising from umbral calculus

AU - Mansour, Toufik

AU - Ozden, Hacer

AU - Simsek, Yilmaz

PY - 2014/4

Y1 - 2014/4

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 modified Apostol-type 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 modified Apostol-type polynomials.

KW - Apostol-type polynomials

KW - Bernoulli polynomial

KW - Bessel polynomial

KW - Euler polynomial

KW - Umbral calculus

UR - http://www.scopus.com/inward/record.url?scp=84901757661&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:84901757661

SN - 1229-3067

VL - 24

SP - 175

EP - 182

JO - Advanced Studies in Contemporary Mathematics (Kyungshang)

JF - Advanced Studies in Contemporary Mathematics (Kyungshang)

IS - 2

ER -

Modified Apostol-type polynomials arising from umbral calculus

Abstract

Keywords

ASJC Scopus subject areas

Other files and links

Fingerprint

Cite this