On central complete Bell polynomials

2018/11/03 by Taekyun Kim, Kim, Taekyun, Dae San Kim +3
Mathematics · #11B73 #11B83 #11B99 #FOS: Mathematics #Number Theory (math.NT) #math.NT #msc:11B73 #msc:11B83 #msc:11B99

paper · pdf · doi:10.48550/arxiv.1811.01196

11 pages

arxiv created 2018/11/03 · arxiv updated 2018/11/06

Abstract

In this paper, we consider central complete and incomplete Bell polynomials which are generalizations of the recently introduced central Bell polynomials and central analogues for the complete and incomplete Bell polynomials. We investigate some properties and identities for these polynomials. Especially, we give explicit formulas for the central complete and incomplete Bell polynomials related to central factorial numbers of the second kind.

Related

• On degenerate central complete Bell polynomials
• Some identities on r-central factorial numbers and r-central Bell polynomials
• Various applications of the (exponential) complete Bell polynomials
• Derivation of Bell Polynomials of the Second Kind
• Combinatorial proofs of some Bell number formulas