Lah-Bell numbers and polynomials

2020/07/27 by Kim, Dae San, Kim, Taekyun
#05A19 #11B73 #11B83 #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.2007.13291

Abstract

In this paper, we introduce the Lah-Bell numbers and their natural extensions, namely the Lah-Bell polynomials, and derive some basic properties of such numbers and polynomials by using elementary methods. In addition, we consider the degenerate Lah-Bell numbers and polynomials as degenerate versions of the Lah-Bell numbers and polynomials.

Related

• Complete and incomplete Bell polynomials associated with Lah-Bell numbers and polynomials
• Some new properties on degenerate Bell polynomials
• A new approach to Bell and poly-Bell numbers and polynomials
• A note on degenerate Bell numbers and polynomials
• r-extended Lah-Bell numbers and polynomials associated with r-Lah numbers