Extended degenerate r-central factorial numbers of the second kind and extended degenerate r-central Bell polynomials

Dae San Kim; Dmitry V. Dolgy; Taekyun Kim; Dojin Kim

doi:10.3390/sym11040595

Extended degenerate r-central factorial numbers of the second kind and extended degenerate r-central Bell polynomials

Dae San Kim
, Dmitry V. Dolgy
, Taekyun Kim
, Dojin Kim

Department of Mathematics

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

7 Scopus citations

Abstract

In this paper, we introduce the extended degenerate r-central factorial numbers of the second kind and the extended degenerate r-central Bell polynomials. They are extended versions of the degenerate central factorial numbers of the second kind and the degenerate central Bell polynomials, and also degenerate versions of the extended r-central factorial numbers of the second kind and the extended r-central Bell polynomials, all of which have been studied by Kim and Kim. We study various properties and identities concerning those numbers and polynomials and also their connections.

Original language	English
Article number	595
Journal	Symmetry
Volume	11
Issue number	4
DOIs	https://doi.org/10.3390/sym11040595
State	Published - 1 Apr 2019

Keywords

Extended degenerate r-central bell polynomials
Extended degenerate r-central factorial numbers of the second kind

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10.3390/sym11040595

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title = "Extended degenerate r-central factorial numbers of the second kind and extended degenerate r-central Bell polynomials",

abstract = "In this paper, we introduce the extended degenerate r-central factorial numbers of the second kind and the extended degenerate r-central Bell polynomials. They are extended versions of the degenerate central factorial numbers of the second kind and the degenerate central Bell polynomials, and also degenerate versions of the extended r-central factorial numbers of the second kind and the extended r-central Bell polynomials, all of which have been studied by Kim and Kim. We study various properties and identities concerning those numbers and polynomials and also their connections.",

keywords = "Extended degenerate r-central bell polynomials, Extended degenerate r-central factorial numbers of the second kind",

author = "Kim, \{Dae San\} and Dolgy, \{Dmitry V.\} and Taekyun Kim and Dojin Kim",

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T1 - Extended degenerate r-central factorial numbers of the second kind and extended degenerate r-central Bell polynomials

AU - Kim, Dae San

AU - Dolgy, Dmitry V.

AU - Kim, Taekyun

AU - Kim, Dojin

PY - 2019/4/1

Y1 - 2019/4/1

N2 - In this paper, we introduce the extended degenerate r-central factorial numbers of the second kind and the extended degenerate r-central Bell polynomials. They are extended versions of the degenerate central factorial numbers of the second kind and the degenerate central Bell polynomials, and also degenerate versions of the extended r-central factorial numbers of the second kind and the extended r-central Bell polynomials, all of which have been studied by Kim and Kim. We study various properties and identities concerning those numbers and polynomials and also their connections.

AB - In this paper, we introduce the extended degenerate r-central factorial numbers of the second kind and the extended degenerate r-central Bell polynomials. They are extended versions of the degenerate central factorial numbers of the second kind and the degenerate central Bell polynomials, and also degenerate versions of the extended r-central factorial numbers of the second kind and the extended r-central Bell polynomials, all of which have been studied by Kim and Kim. We study various properties and identities concerning those numbers and polynomials and also their connections.

KW - Extended degenerate r-central bell polynomials

KW - Extended degenerate r-central factorial numbers of the second kind

UR - https://www.scopus.com/pages/publications/85065469981

U2 - 10.3390/sym11040595

DO - 10.3390/sym11040595

M3 - Article

AN - SCOPUS:85065469981

SN - 2073-8994

VL - 11

JO - Symmetry

JF - Symmetry

IS - 4

M1 - 595

ER -

Extended degenerate r-central factorial numbers of the second kind and extended degenerate r-central Bell polynomials

Abstract

Keywords

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