Barnes' multiple Bernoulli and generalized Barnes' multiple Frobenius-Euler mixed-type polynomials

被引：1
|
作者：
Kim, Dae San [1 ]
Kim, Taekyun [2 ]
Komatsu, Takao [3 ]
Kwon, Hyuck In [2 ]
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
来源：
ADVANCES IN DIFFERENCE EQUATIONS | 2014年
基金：
新加坡国家研究基金会;
关键词：
Formal Power Series; Linear Functional; Bernoulli Polynomial; Stirling Number; Euler Polynomial;
D O I：
10.1186/1687-1847-2014-238
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, by considering Barnes' multiple Bernoulli polynomials as well as generalized Barnes' multiple Frobenius-Euler polynomials, 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.
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收藏
页数：16
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