Extended r-central Bell polynopmials with umbral calculus viewpoint

Abstract

Abstract Recently, extended r-central factorial numbers of the second kind and extended r-central Bell polynomials were introduced and various results of them were investigated. The purpose of this paper is to further derive properties, recurrence relations and identities related to these numbers and polynomials using umbral calculus techniques. Especially, we will represent the extended r-central Bell polynomials in terms of quite a few families of well-known special polynomials.

Keywords

• Extended r-central factorial numbers of the second kind
• Extended r-central Bell polynomials
• Umbral calculus