Degenerate poly-Bernoulli polynomials with umbral calculus viewpoint

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

doi:10.1186/s13660-015-0748-7

Degenerate poly-Bernoulli polynomials with umbral calculus viewpoint

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

Department of Mathematics

University of Haifa

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

Abstract

In this paper, we consider the degenerate poly-Bernoulli 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.

Original language	American English
Article number	228
Journal	Journal of Inequalities and Applications
Volume	2015
Issue number	1
DOIs	https://doi.org/10.1186/s13660-015-0748-7
State	Published - 28 Dec 2015

Keywords

degenerate poly-Bernoulli polynomials
umbral calculus

All Science Journal Classification (ASJC) codes

Analysis
Discrete Mathematics and Combinatorics
Applied Mathematics

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10.1186/s13660-015-0748-7

Cite this

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title = "Degenerate poly-Bernoulli polynomials with umbral calculus viewpoint",

abstract = "In this paper, we consider the degenerate poly-Bernoulli 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.",

keywords = "degenerate poly-Bernoulli polynomials, umbral calculus",

author = "Kim, {Dae San} and Taekyun Kim and Kwon, {Hyuck In} and Toufik Mansour",

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AB - In this paper, we consider the degenerate poly-Bernoulli 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.

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DO - 10.1186/s13660-015-0748-7

M3 - Article

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JF - Journal of Inequalities and Applications

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Degenerate poly-Bernoulli polynomials with umbral calculus viewpoint

Abstract

Keywords

All Science Journal Classification (ASJC) codes

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