Explicit formulae for computing Euler polynomials in terms of Stirling numbers of the second kind

被引：32
|
作者：
Guo, Bai-Ni [1 ]
Qi, Feng [2 ,3 ]
机构：
[1] Henan Polytech Univ, Sch Math & Informat, Jiaozuo City 454010, Henan Province, Peoples R China
[2] Inner Mongolia Univ Nationalities, Coll Math, Tongliao City 028043, Inner Mongolia, Peoples R China
[3] Tianjin Polytech Univ, Coll Sci, Dept Math, Tianjin 300387, Peoples R China
来源：
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2014年 / 272卷
关键词：
Explicit formula; Euler polynomial; Two-parameter Euler polynomial; Stirling number of the second kind; Identity; Exponential function; IDENTITIES; BERNOULLI;
D O I：
10.1016/j.cam.2014.05.018
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In the paper, the authors elementarily unify and generalize eight identities involving the functions +/- 1/e(+/- t)-1 and their derivatives. By one of these identities, the authors establish two explicit formulae for computing Euler polynomials and two-parameter Euler polynomials, which are a newly introduced notion, in terms of Stirling numbers of the second kind. (C) 2014 Elsevier B.V. All rights reserved.
引用
收藏
页码：251 / 257
页数：7
相关论文
共 50 条
12345