New convolution identities for hypergeometric Bernoulli polynomials

被引：5

作者：

Nguyen, Hieu D. ^{[1
]}

Cheong, Long G. ^{[1
]}

机构：

[1] Rowan Univ, Dept Math, Glassboro, NJ 08028 USA

来源：

JOURNAL OF NUMBER THEORY | 2014年 / 137卷

关键词：

Hypergeometric Bernoulli; polynomial; Appall sequence; Convolution; Sums of products; PRODUCTS; SUMS;

D O I：

10.1016/j.jnt.2013.11.008

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

New convolution identities of hypergeometric Bernoulli polynomials are presented. Two different approaches to proving these identities are discussed, corresponding to the two equivalent definitions of hypergeometric Bernoulli polynomials as Appell sequences. (C) 2014 Elsevier Inc. All rights reserved.

引用

页码：201 / 221

页数：21

共 6 条

[1] Sums of products of Bernoulli numbers [J].