On Poly-Bernoulli polynomials of the second kind with umbral calculus viewpoint

Dae San Kim; Taekyun Kim; Toufik Mansour; Dmitry V. Dolgy

doi:10.1186/s13662-015-0362-5

On Poly-Bernoulli polynomials of the second kind with umbral calculus viewpoint

Dae San Kim
, Taekyun Kim
, Toufik Mansour
, Dmitry V. Dolgy

Department of Mathematics

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

Abstract

Poly-Bernoulli polynomials of the second kind were introduced in Kim et al. (Adv. Differ. Equ. 2014:219, 2014) as a generalization of the Bernoulli polynomial of the second kind. Here we investigate those polynomials and derive further results about them by using umbral calculus.

Original language	English
Pages (from-to)	1-13
Number of pages	13
Journal	Advances in Difference Equations
Volume	2015
Issue number	1
DOIs	https://doi.org/10.1186/s13662-015-0362-5
State	Published - 2015

Bibliographical note

Publisher Copyright:
© 2015, Kim et al.; licensee Springer.

Keywords

Bernoulli polynomials
Stirling numbers
poly-Bernoulli polynomials
umbral calculus

ASJC Scopus subject areas

Analysis
Algebra and Number Theory
Applied Mathematics

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10.1186/s13662-015-0362-5

Cite this

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abstract = "Poly-Bernoulli polynomials of the second kind were introduced in Kim et al. (Adv. Differ. Equ. 2014:219, 2014) as a generalization of the Bernoulli polynomial of the second kind. Here we investigate those polynomials and derive further results about them by using umbral calculus.",

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AB - Poly-Bernoulli polynomials of the second kind were introduced in Kim et al. (Adv. Differ. Equ. 2014:219, 2014) as a generalization of the Bernoulli polynomial of the second kind. Here we investigate those polynomials and derive further results about them by using umbral calculus.

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KW - Stirling numbers

KW - poly-Bernoulli polynomials

KW - umbral calculus

UR - https://www.scopus.com/pages/publications/84961327755

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On Poly-Bernoulli polynomials of the second kind with umbral calculus viewpoint

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

Access to Document

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