Higher-order Frobenius-Euler and poly-Bernoulli mixed-type polynomials

被引:15
作者
Kim, Dae San [1 ]
Kim, Taekyun [2 ]
机构
[1] Sogang Univ, Dept Math, Seoul 121742, South Korea
[2] Kwangwoon Univ, Dept Math, Seoul 139701, South Korea
来源
ADVANCES IN DIFFERENCE EQUATIONS | 2013年
基金
新加坡国家研究基金会;
关键词
Formal Power Series; Linear Functional; Bernoulli Number; Bernoulli Polynomial; Euler Polynomial;
D O I
10.1186/1687-1847-2013-251
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we consider higher-order Frobenius-Euler polynomials, associated with poly-Bernoulli polynomials, which are derived from polylogarithmic function. These polynomials are called higher-order Frobenius-Euler and poly-Bernoulli mixed-type polynomials. The purpose of this paper is to give various identities of those polynomials arising from umbral calculus.
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页数:13
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