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

Abstract

Extensions of the $Stirling$ numbers of the second kind and $Dobinski$ -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 $[1]$. These extensions naturally encompass the well known $q$- extensions. The indicatory references are to point at a part of the vast domain of the foundations of computer science in arxiv affiliation.

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

References in corpus (4)

• Cobweb posets - Recent Results
• First Observations on Prefab Posets Whitney Numbers
• Some Cobweb Posets Digraphs' Elementary Properties and Questions
• New type Stirling like numbers - an email style letter