A note on high order Bernoulli numbers and polynomials using differential equations

被引：6

作者：

Choi, Jongsung ^{[1
]}

Kim, Young-Hee ^{[1
]}

机构：

[1] Kwangwoon Univ, Div Gen Educ Math, Seoul 139701, South Korea

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2014年 / 249卷

关键词：

Ordinary differential equation; Bernoulli polynomials; Bernoulli numbers;

D O I：

10.1016/j.amc.2014.10.074

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

An ordinary differential equation is constructed to determine coefficients of a recurrence formula related to the generating function of Bernoulli numbers. This construction is more complicated work than the case of Eulerian numbers and polynomials. Solving this differential equation, we derive some identities on Bernoulli numbers and polynomials of higher order. (C) 2014 The Authors. Published by Elsevier Inc.

引用

页码：480 / 486

页数：7

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