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.
引用
收藏
页数：16
相关论文
共 50 条
  • [21] On the Barnes' Type Related to Multiple Genocchi Polynomials on Zp
    Kang, J. Y.
    Lee, H. Y.
    Jung, N. S.
    Ryoo, C. S.
    ABSTRACT AND APPLIED ANALYSIS, 2012,
  • [22] Some identities of higher order Barnes-type q-Bernoulli polynomials and higher order Barnes-type q-Euler polynomials
    Jang, Lee-Chae
    Choi, Sang-Ki
    Kwon, Hyuck In
    ADVANCES IN DIFFERENCE EQUATIONS, 2015,
  • [23] Some identities of higher order Barnes-type q-Bernoulli polynomials and higher order Barnes-type q-Euler polynomials
    Lee-Chae Jang
    Sang-Ki Choi
    Hyuck In Kwon
    Advances in Difference Equations, 2015
  • [24] On the second kind Barnes-type multiple twisted zeta function and twisted Euler polynomials
    Ryoo, Cheon Seoung
    JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, 2015, 18 (03) : 423 - 429
  • [25] Barnes-type multiple q-zeta functions and q-Euler polynomials
    Kim, Taekyun
    JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2010, 43 (25)
  • [26] Fourier expansion and integral representation generalized Apostol-type Frobenius-Euler polynomials
    Urieles, Alejandro
    Ramirez, William
    Ortega, Maria Jose
    Bedoya, Daniel
    ADVANCES IN DIFFERENCE EQUATIONS, 2020, 2020 (01)
  • [27] APOSTOL TYPE (p, q)-FROBENIUS-EULER POLYNOMIALS AND NUMBERS
    Duran, Ugur
    Acikgoz, Mehmet
    KRAGUJEVAC JOURNAL OF MATHEMATICS, 2018, 42 (04): : 555 - 567
  • [28] BARNES-TYPE NARUMI OF THE SECOND KIND AND POISSON-CHARLIER MIXED-TYPE POLYNOMIALS
    Kim, Dab San
    Kim, Taekyun
    Kwon, Hyuck In
    Mansour, Toufik
    JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, 2015, 19 (05) : 837 - 850
  • [29] On Euler-Barnes multiple zeta functions
    Kim, TY
    RUSSIAN JOURNAL OF MATHEMATICAL PHYSICS, 2003, 10 (03) : 261 - 267
  • [30] Note on the [inline-graphic not available: see fulltext]-Extension of Barnes' Type Multiple Euler Polynomials
    Leechae Jang
    Taekyun Kim
    Young-Hee Kim
    Kyung-Won Hwang
    Journal of Inequalities and Applications, 2009
12345