Generalized incomplete poly-Bernoulli and poly-Cauchy numbers

被引：6
作者：
Komatsu, Takao [1 ]
机构：
[1] Wuhan Univ, Sch Math & Stat, Wuhan 430072, Hubei, Peoples R China
来源：
PERIODICA MATHEMATICA HUNGARICA | 2017年 / 75卷 / 01期
关键词：
poly-Bernoulli numbers; poly-Cauchy numbers; associated Stirling numbers; restricted Stirling numbers; incomplete poly-Bernoulli numbers; incomplete poly-Cauhy numbers;
D O I：
10.1007/s10998-016-0167-7
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
By using the restricted and associated Stirling numbers of the first kind and by generalizing the (unsigned) Stirling numbers of the first kind, we define the generalized incomplete poly-Cauchy numbers by combining the generalized and the incomplete poly-Cauchy numbers, and study their arithmetical and combinatorial properties. We also study the corresponding generalized incomplete poly-Bernoulli numbers.
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收藏
页码：96 / 113
页数：18
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