Extended Bernoulli and Stirling matrices and related combinatorial identities

被引：12
|
作者：
Can, Mumun [1 ]
Dagli, M. Cihat [1 ]
机构：
[1] Akdeniz Univ, Dept Math, TR-07058 Antalya, Turkey
来源：
LINEAR ALGEBRA AND ITS APPLICATIONS | 2014年 / 444卷
关键词：
Bernoulli polynomials; Stirling numbers; Hyperharmonic numbers; Pascal matrix; Bernoulli matrix; Stirling matrix; DEGENERATE BERNOULLI; LINEAR ALGEBRA; POLYNOMIALS;
D O I：
10.1016/j.laa.2013.11.031
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we establish plenty of number theoretic and combinatoric identities involving generalized Bernoulli polynomials and Stirling numbers of both kinds, which generalize various known identities. 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. (C) 2013 Elsevier Inc. All rights reserved.
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页码：114 / 131
页数：18
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