Barnes-type Peters polynomial with umbral calculus viewpoint

Dae San Kim; Taekyun Kim; Hyuck In Kwon; Toufik Mansour; Jongjin Seo

doi:10.1186/1029-242X-2014-324

Barnes-type Peters polynomial with umbral calculus viewpoint

Dae San Kim
, Taekyun Kim
, Hyuck In Kwon
, Toufik Mansour
, Jongjin Seo

Department of Mathematics

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

Abstract

In this paper, we consider the Barnes-type Peters polynomials. We present several explicit formulas and recurrence relations for these polynomials. Also, we establish a connection between our polynomials and several known families of polynomials. MSC: 05A40, 11B83.

Original language	English
Article number	324
Journal	Journal of Inequalities and Applications
Volume	2014
Issue number	1
DOIs	https://doi.org/10.1186/1029-242X-2014-324
State	Published - 27 Dec 2014

Bibliographical note

Publisher Copyright:
© 2014, Kim et al.; licensee Springer.

Keywords

Barnes-type Peters polynomials
umbral calculus

ASJC Scopus subject areas

Analysis
Discrete Mathematics and Combinatorics
Applied Mathematics

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10.1186/1029-242X-2014-324

Cite this

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title = "Barnes-type Peters polynomial with umbral calculus viewpoint",

abstract = "In this paper, we consider the Barnes-type Peters polynomials. We present several explicit formulas and recurrence relations for these polynomials. Also, we establish a connection between our polynomials and several known families of polynomials. MSC: 05A40, 11B83.",

keywords = "Barnes-type Peters polynomials, umbral calculus",

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AU - Kim, Taekyun

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AU - Mansour, Toufik

AU - Seo, Jongjin

PY - 2014/12/27

Y1 - 2014/12/27

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AB - In this paper, we consider the Barnes-type Peters polynomials. We present several explicit formulas and recurrence relations for these polynomials. Also, we establish a connection between our polynomials and several known families of polynomials. MSC: 05A40, 11B83.

KW - Barnes-type Peters polynomials

KW - umbral calculus

UR - https://www.scopus.com/pages/publications/84928981316

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DO - 10.1186/1029-242X-2014-324

M3 - Article

AN - SCOPUS:84928981316

SN - 1025-5834

VL - 2014

JO - Journal of Inequalities and Applications

JF - Journal of Inequalities and Applications

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ER -

Barnes-type Peters polynomial with umbral calculus viewpoint

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

Access to Document

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