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

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

2008-03-10

arxiv.org/abs/0803.1416v2

Proc. Jangjeon Math. Soc. Vol. 11 No 2, (2008),137-144

Mathematics

Combinatorics

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

Scientific paper

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.

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