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Open AccessArticle

Extended Degenerate r-Central Factorial Numbers of the Second Kind and Extended Degenerate r-Central Bell Polynomials

1
Department of Mathematics, Sogang University, Seoul 04107, Korea
2
Kwangwoon Institute for Advanced Studies, Kwangwoon University, Seoul 01897, Korea
3
Department of Mathematics, Kwangwoon University, Seoul 01897, Korea
4
Department of Mathematics, Pusan National University, Busan 46241, Korea
*
Author to whom correspondence should be addressed.
Symmetry 2019, 11(4), 595; https://doi.org/10.3390/sym11040595
Received: 2 March 2019 / Revised: 29 March 2019 / Accepted: 22 April 2019 / Published: 24 April 2019
(This article belongs to the Special Issue Current Trends in Symmetric Polynomials with Their Applications Ⅱ)
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. View Full-Text
Keywords: extended degenerate r-central factorial numbers of the second kind; extended degenerate r-central bell polynomials extended degenerate r-central factorial numbers of the second kind; extended degenerate r-central bell polynomials
MDPI and ACS Style

Kim, D.S.; Dolgy, D.V.; Kim, T.; Kim, D. Extended Degenerate r-Central Factorial Numbers of the Second Kind and Extended Degenerate r-Central Bell Polynomials. Symmetry 2019, 11, 595.

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