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

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	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

Bibliographical note

Publisher Copyright:
© 2015, Kim et al.

Keywords

degenerate poly-Bernoulli polynomials
umbral calculus

ASJC Scopus subject areas

Analysis
Discrete Mathematics and Combinatorics
Applied Mathematics

Access to Document

10.1186/s13660-015-0748-7

Cite this

@article{8bf3650972fc46608168f34553e12c31,

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",

note = "Publisher Copyright: {\textcopyright} 2015, Kim et al.",

year = "2015",

month = dec,

day = "28",

doi = "10.1186/s13660-015-0748-7",

language = "English",

volume = "2015",

journal = "Journal of Inequalities and Applications",

issn = "1025-5834",

publisher = "Springer Nature",

number = "1",

}

TY - JOUR

T1 - Degenerate poly-Bernoulli polynomials with umbral calculus viewpoint

AU - Kim, Dae San

AU - Kim, Taekyun

AU - Kwon, Hyuck In

AU - Mansour, Toufik

PY - 2015/12/28

Y1 - 2015/12/28

N2 - 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.

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.

KW - degenerate poly-Bernoulli polynomials

KW - umbral calculus

UR - https://www.scopus.com/pages/publications/84938079924

U2 - 10.1186/s13660-015-0748-7

DO - 10.1186/s13660-015-0748-7

M3 - Article

AN - SCOPUS:84938079924

SN - 1025-5834

VL - 2015

JO - Journal of Inequalities and Applications

JF - Journal of Inequalities and Applications

IS - 1

M1 - 228

ER -

Degenerate poly-Bernoulli polynomials with umbral calculus viewpoint

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this