Some identities on r-central factorial numbers and r-central Bell polynomials

Abstract

Abstract In this paper, we introduce the extended r-central factorial numbers of the second and first kinds and the extended r-central Bell polynomials, as extended versions and central analogues of some previously introduced numbers and polynomials. Then we study various properties and identities related to these numbers and polynomials and also their connections.

Keywords

• Extended r-central factorial numbers of the second and first kinds
• Extended r-central factorial Bell polynomials