Some identities of higher order Barnes-type q-Bernoulli polynomials and higher order Barnes-type q-Euler polynomials

被引:0
作者
Jang, Lee-Chae [1 ]
Choi, Sang-Ki [2 ]
Kwon, Hyuck In [3 ]
机构
[1] Konkuk Univ, Grad Sch Educ, Seoul 143701, South Korea
[2] Konkuk Univ, Dept Math Educ, Seoul 143701, South Korea
[3] Kwangwoon Univ, Dept Math, Seoul, South Korea
关键词
p-adic invariant integral; Bernoulli polynomials; Euler polynomials; higher order Barnes-type q-Bernoulli polynomials and numbers; NUMBERS; INTEGRALS;
D O I
10.1186/s13662-015-0495-6
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 Barnes-type q-Bernoulli polynomials and numbers and investigate some identities of them. Furthermore, we discuss some identities of higher order Barnes-type q-Euler polynomials and numbers.
引用
收藏
页数:8
相关论文
共 24 条
[1]  
Andrews G., 1999, Special Functions. Encyclopedia of Mathematics and its Applications, V71
[2]  
Bayad A, 2013, J COMPUT ANAL APPL, V15, P111
[3]   RESULTS ON VALUES OF BARNES POLYNOMIALS [J].
Bayad, Abdelmejid ;
Kim, Taekyun .
ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2013, 43 (06) :1857-1869
[4]  
Can M., 2009, Advanced Studies in Contemporary Mathematics, V18, P135
[5]   Some inequalities and monotonicity properties associated with the gamma and psi functions and the Barnes G-function [J].
Chen, Chao-Ping ;
Srivastava, H. M. .
INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS, 2011, 22 (01) :1-15
[6]  
Ding D, 2014, P JANGJEON MATH SOC, V17, P115
[7]  
Jang LC, 2011, J COMPUT ANAL APPL, V13, P376
[8]   Note on the q-Extension of Barnes' Type Multiple Euler Polynomials [J].
Jang, Leechae ;
Kim, Taekyun ;
Kim, Young-Hee ;
Hwang, Kyung-Won .
JOURNAL OF INEQUALITIES AND APPLICATIONS, 2009,
[9]  
Kang D, 2014, J COMPUT ANAL APPL, V17, P141
[10]   A note on poly-Bernoulli and higher-order poly-Bernoulli polynomials [J].
Kim, D. ;
Kim, T. .
RUSSIAN JOURNAL OF MATHEMATICAL PHYSICS, 2015, 22 (01) :26-33