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

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 d...

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Bibliographic Details
Published in:Symmetry (Basel) 2019-04, Vol.11 (4), p.595
Main Authors: Kim, Dae San, Dolgy, Dmitry V., Kim, Taekyun, Kim, Dojin
Format: Article
Language:English
Subjects:
Combinatorial analysis
extended degenerate r-central bell polynomials
extended degenerate r-central factorial numbers of the second kind
Polynomials
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Summary: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.
ISSN:2073-8994
2073-8994
DOI:10.3390/sym11040595