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

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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",

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language = "English",

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

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KW - Bernoulli polynomial

KW - Bessel polynomial

KW - Euler polynomial

KW - Umbral calculus

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AN - SCOPUS:84901757661

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JO - Advanced Studies in Contemporary Mathematics (Kyungshang)

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Modified Apostol-type polynomials arising from umbral calculus

Abstract

Keywords

ASJC Scopus subject areas

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