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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)
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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. 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
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).
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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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