Extended Bernoulli and Stirling matrices and related combinatorial identities
Number Theory
2015-06-12 v2
Abstract
In this paper we establish plenty of number theoretic and combinatoric identities involving generalized Bernoulli and Stirling numbers of both kinds. These formulas are deduced from Pascal type matrix representations of Bernoulli and Stirling numbers. For this we define and factorize a modified Pascal matrix corresponding to Bernoulli and Stirling cases.
Cite
@article{arxiv.1306.5888,
title = {Extended Bernoulli and Stirling matrices and related combinatorial identities},
author = {Mümün Can and M. Cihat Dağlı},
journal= {arXiv preprint arXiv:1306.5888},
year = {2015}
}
Comments
Accepted for publication in Linear Algebra and its Applications