A new approach to Bell and poly-Bell numbers and polynomials
Number Theory
2021-06-29 v1
Abstract
The aim of this paper is to introduce Bell polynomials and numbers of the second kind and poly-Bell polynomials and numbers of the second kind, and to derive their explicit expressions, recurrence relations and some identities involving those polynomials and numbers. We also consider degenerate versions of those polynomials and numbers, namely degenerate Bell polynomials and numbers of the second kind and degenerate poly-Bell polynomials and numbers of the second kind, and deduce their similar results.
Keywords
Cite
@article{arxiv.2106.14751,
title = {A new approach to Bell and poly-Bell numbers and polynomials},
author = {Dae San Kim and Dmitry V. Dolgy and Hye-Kyung Kim and Hyunseok Lee and Taekyun Kim},
journal= {arXiv preprint arXiv:2106.14751},
year = {2021}
}
Comments
10 pages