Degenerate poly-Cauchy polynomials

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

doi:https://doi.org/10.1016/j.amc.2015.07.117

Degenerate poly-Cauchy polynomials

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

Department of Mathematics

University of Haifa

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

Abstract

In this paper, we study several properties for the degenerate poly-Cauchy 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
Pages (from-to)	637-646
Number of pages	10
Journal	Applied Mathematics and Computation
Volume	269
DOIs	https://doi.org/10.1016/j.amc.2015.07.117
State	Published - 24 Aug 2015

Keywords

Bernoulli polynomials
Degenerate poly-Cauchy polynomials
Poly-Cauchy polynomials
Umbral calculus

All Science Journal Classification (ASJC) codes

Computational Mathematics
Applied Mathematics

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https://doi.org/10.1016/j.amc.2015.07.117

Cite this

@article{392fca88ec65445fad8a616737c275f5,

title = "Degenerate poly-Cauchy polynomials",

abstract = "In this paper, we study several properties for the degenerate poly-Cauchy 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 = "Bernoulli polynomials, Degenerate poly-Cauchy polynomials, Poly-Cauchy polynomials, Umbral calculus",

author = "Dolgy, {Dmitry V.} and Kim, {Dae San} and Taekyun Kim and Toufik Mansour",

year = "2015",

month = aug,

day = "24",

doi = "https://doi.org/10.1016/j.amc.2015.07.117",

language = "American English",

volume = "269",

pages = "637--646",

journal = "Applied Mathematics and Computation",

issn = "0096-3003",

publisher = "Elsevier Inc.",

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T1 - Degenerate poly-Cauchy polynomials

AU - Dolgy, Dmitry V.

AU - Kim, Dae San

AU - Kim, Taekyun

AU - Mansour, Toufik

PY - 2015/8/24

Y1 - 2015/8/24

N2 - In this paper, we study several properties for the degenerate poly-Cauchy 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 study several properties for the degenerate poly-Cauchy 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 - Bernoulli polynomials

KW - Degenerate poly-Cauchy polynomials

KW - Poly-Cauchy polynomials

KW - Umbral calculus

UR - http://www.scopus.com/inward/record.url?scp=84939833076&partnerID=8YFLogxK

U2 - https://doi.org/10.1016/j.amc.2015.07.117

DO - https://doi.org/10.1016/j.amc.2015.07.117

M3 - Article

SN - 0096-3003

VL - 269

SP - 637

EP - 646

JO - Applied Mathematics and Computation

JF - Applied Mathematics and Computation

ER -

Degenerate poly-Cauchy polynomials

Abstract

Keywords

All Science Journal Classification (ASJC) codes

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