Some properties of Bernoulli polynomials and their generalizations

被引：20

作者：

Lu, Da-Qian ^{[1
]}

机构：

[1] E China Normal Univ, Dept Math, Shanghai 200241, Peoples R China

来源：

APPLIED MATHEMATICS LETTERS | 2011年 / 24卷 / 05期

关键词：

Quasi-monomial; Generating functions; Recursion formulas; Connection problems; Bernoulli polynomials and numbers; Apostol-Bernoulli polynomials and numbers; APOSTOL-EULER POLYNOMIALS; GENERATING-FUNCTIONS; HERMITE-POLYNOMIALS; FORMULAS;

D O I：

10.1016/j.aml.2010.12.021

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this work, we investigate some well-known and new properties of the Bernoulli polynomials and their generalizations by using quasi-monomial, lowering operator and operational methods. Some of these general results can indeed be suitably specialized in order to deduce the corresponding properties and relationships involving the (generalized) Bernoulli polynomials. (C) 2010 Elsevier Ltd. All rights reserved.

引用

页码：746 / 751

页数：6

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