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

被引：4

作者：

Kim, Dae San ^{[1
]}

Kim, Taekyun ^{[2
]}

Seo, Jong-Jin ^{[3
]}

Komatsu, Takao ^{[4
]}

机构：

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

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

[3] Pukyong Natl Univ, Dept Appl Math, Pusan 608739, South Korea

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

来源：

ADVANCES IN DIFFERENCE EQUATIONS | 2014年

基金：

日本学术振兴会; 新加坡国家研究基金会;

关键词：

Formal Power Series; Bernoulli Number; Bernoulli Polynomial; Stirling Number; Polylogarithm Function;

D O I：

10.1186/1687-1847-2014-92

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider Barnes' multiple Frobenius-Euler and poly-Bernoulli mixed-type polynomials. From the properties of Sheffer sequences of these polynomials arising from umbral calculus, we derive new and interesting identities.

引用

页数：16

共 5 条

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[3] Kim D. S., POLY BERNOULLI POLYN
[4] Some identities of Frobenius-Euler polynomials arising from umbral calculus
Kim, Dae San
Kim, Taekyun
[J]. ADVANCES IN DIFFERENCE EQUATIONS, 2012,
[5] ROMAN S, 2005, UMBRAL CALCULUS

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