Extended Degenerate <i>r</i>-Central Factorial Numbers of the Second Kind and Extended Degenerate <i>r</i>-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 <i>r</i>-central factorial numbers of the second kind
• extended degenerate <i>r</i>-central bell polynomials