Umbral calculus associated with Bernoulli polynomials

被引：9

作者：

Kim, Dae San ^{[2
]}

Kim, Taekyun ^{[1
,3
]}

机构：

[1] Kwangwoon Univ, Dept Math, Seoul 139701, South Korea

[2] Sogang Univ, Dept Math, Seoul 121741, South Korea

[3] Kwangwoon Univ, Dept Math, Seoul 139701, South Korea

来源：

JOURNAL OF NUMBER THEORY | 2015年 / 147卷

基金：

新加坡国家研究基金会;

关键词：

Bernoulli polynomials; Umbral calculus; Linear functional;

D O I：

10.1016/j.jnt.2013.09.013

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Text. Recently, R. Dere and Y. Simsek have studied applications of umbral algebra to generating functions for the Hermite type Genocchi polynomials and numbers [6]. In this paper, we investigate some interesting properties arising from umbral calculus. These properties are useful in deriving some identities of Bernoulli polynomials. (C) 2013 The Authors. Published by Elsevier Inc.

引用

页码：871 / 882

页数：12

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