Results 261 to 270 of about 50,310 (297)

On Stirling Numbers of the Second Kind

, 2017
We give an elementary proof of Roman’s identity between the Stirling numbers of the second kind and the Bernoulli polynomials.
V. Barrera‐Figueroa, R. López-Vázquez, J. López-Bonilla   +2 more
semanticscholar   +1 more source

Simple formulas for Stirling numbers of the second kind

AIP Conference Proceedings, 2015
For large values of k, especially those closer to n, the expression for S(n, k), the Stirling numbers (of the second kind) can become quite cumbersome to deal with. In this paper, we obtained simple formulas for S(n, n – r) for small values of r. Our formulas contain only a combination of r combinatorial terms.
A. A. Low, C. K. Ho
openaire   +2 more sources

The (r1,...,rp)-Stirling Numbers of the Second Kind

Integers, 2012
Abstract ...
Miloud Mihoubi, Mohammed Said Maamra
openaire   +2 more sources

On the Location of the Maximum Stirling Number(s) of the Second Kind

Studies in Applied Mathematics, 1978
Let S(n, k) denote Stirling numbers of the second kind, and Kn be the integer(s) such that S(n, Kn) ⩾ S(n, k) for all k. We determine the value(s) of Kn to within a maximum error of 1.
openaire   +2 more sources

A combinatorial generalization of the Stirling Numbers of the second kind

ICECS 2001. 8th IEEE International Conference on Electronics, Circuits and Systems (Cat. No.01EX483), 2002
A combinatorial generalization of the Stirling Numbers of the second kind is presented as the number of partitions of a set with n elements in m subsets with at least c elements each. An equivalence with a previous definition is discussed. Combinatorial properties and a recursive relation are obtained.
openaire   +2 more sources

On s-Stirling transform and poly-Cauchy numbers of the second kind with level 2

Aequationes Mathematicae, 2022
T. Komatsu
semanticscholar   +1 more source

Periodicity and Divisibility of Stirling Numbers of the Second Kind

Science & Technology Journal, 2023
A. Lalchhuangliana, S.S. Singh
semanticscholar   +1 more source

Some Identities and Congruences for $$q$$-Stirling Numbers of the Second Kind

P-Adic Numbers, Ultrametric Analysis, and Applications, 2022
B. Diarra, Hamadoun Maïga, T. Mounkoro
semanticscholar   +1 more source

r-Stirling Numbers of the Second Kind Through Context-free Grammars

J. Autom. Lang. Comb., 2022
J. Triana
semanticscholar   +1 more source

Table of the Stirling Numbers of the Second Kind

Mathematics of Computation, 1967
J. W. W., Alex M. Andrew
openaire   +2 more sources