Stirling numbers associated with sequences of polynomials

Dae san Kim; taekyun Kim

Stirling numbers associated with sequences of polynomials

Number Theory 2022-02-24 v1

Authors: Dae san Kim , taekyun Kim

Abstract

Let P be the set of the sequence of polynomials of degree n. The aim of this paper is to study the Stirling numbers of the second kind associated with P and of the first kind associated with P, in a unified and systematic way with the help of umbral calculus technique. Our results are illustrated with many examples which give rise to interesting inverse relations in each case.

Keywords

stirling numbers eulerian polynomials and bernoulli numbers integer sequences and recurrences

Cite

@article{arxiv.2202.11306,
  title  = {Stirling numbers associated with sequences of polynomials},
  author = {Dae san Kim and taekyun Kim},
  journal= {arXiv preprint arXiv:2202.11306},
  year   = {2022}
}