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

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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.

Original languageEnglish
Article number595
JournalSymmetry
Volume11
Issue number4
DOIs
StatePublished - 1 Apr 2019

Keywords

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

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