English

New formulas for Stirling-like numbers and Dobinski-like formulas

Combinatorics 2009-01-19 v2 Discrete Mathematics

Abstract

Extensions of the StirlingStirling numbers of the second kind and DobinskiDobinski -like formulas are proposed in a series of exercises for graduates. Some of these new formulas recently discovered by me are to be found in the source paper [1] [1]. These extensions naturally encompass the well known qq- extensions. The indicatory references are to point at a part of the vast domain of the foundations of computer science in arxiv affiliation.

Keywords

Cite

@article{arxiv.0803.1416,
  title  = {New formulas for Stirling-like numbers and Dobinski-like formulas},
  author = {A. K. Kwasniewski},
  journal= {arXiv preprint arXiv:0803.1416},
  year   = {2009}
}

Comments

9 pages, presented at the Gian-Carlo Rota Polish Seminar, http://ii.uwb.edu.pl/akk/sem/sem_rota.htm

R2 v1 2026-06-21T10:20:11.771Z