Generalized Stirling numbers with poly-Bernoulli and poly-Cauchy numbers

被引：2

作者：

Komatsu, Takao ^{[1
]}

Young, Paul Thomas ^{[2
]}

机构：

[1] Wuhan Univ, Sch Math & Stat, Wuhan 430072, Hubei, Peoples R China

[2] Coll Charleston, Dept Math, Charleston, SC 29424 USA

来源：

INTERNATIONAL JOURNAL OF NUMBER THEORY | 2018年 / 14卷 / 05期

关键词：

Poly-Bernoulli numbers; poly-Cauchy numbers; generalized Stirling numbers;

D O I：

10.1142/S1793042118500744

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

By using the generalized Stirling numbers studied by Hsu and Shiue, we define a new kind of generalized poly-Bernoulli and poly-Cauchy numbers. By using the formulae of the generalized Stirling numbers, we give their characteristic and combinatorial properties.

引用

页码：1211 / 1222

页数：12

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