Barnes-type Daehee of the first kind and poly-Cauchy of the first kind mixed-type polynomials

被引：11

作者：

Kim, Dae San ^{[1
]}

Kim, Taekyun ^{[2
]}

Komatsu, Takao ^{[3
]}

Lee, Sang-Hun ^{[4
]}

机构：

[1] Sogang Univ, Dept Math, Seoul 121742, South Korea

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

[3] Hirosaki Univ, Grad Sch Sci & Technol, Hirosaki, Aomori 0368561, Japan

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

来源：

ADVANCES IN DIFFERENCE EQUATIONS | 2014年

基金：

新加坡国家研究基金会;

关键词：

Sheffer Sequences; Umbral Calculus; Daehee Polynomials; Interesting Identities; Cauchy Number;

D O I：

10.1186/1687-1847-2014-140

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, by considering Barnes-type Daehee polynomials of the first kind as well as poly-Cauchy polynomials of the first kind, we define and investigate the mixed-type polynomials of these polynomials. From the properties of Sheffer sequences of these polynomials arising from umbral calculus, we derive new and interesting identities.

引用

页数：22

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