Poly-Bernoulli numbers and polynomials with a q parameter

被引：29

作者：

Cenkci, Mehmet ^{[1
]}

Komatsu, Takao ^{[2
]}

机构：

[1] Akdeniz Univ, Dept Math, TR-07058 Antalya, Turkey

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

来源：

JOURNAL OF NUMBER THEORY | 2015年 / 152卷

关键词：

Poly-Bernoulli and poly-Cauchy numbers and polynomials; Weighted Stirling numbers; A-Stirling numbers; Congruences; STIRLING NUMBERS; CAUCHY NUMBERS;

D O I：

10.1016/j.jnt.2014.12.004

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We define poly-Bernoulli numbers and polynomials with a q parameter. These numbers and polynomials show a correspondence to poly-Cauchy numbers and polynomials with a q parameter recently defined by the second author. We study some arithmetical and number theoretical properties of these numbers and polynomials as well. (C) 2015 Elsevier Inc. All rights reserved.

引用

页码：38 / 54

页数：17

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