Simplifying coefficients in differential equations associated with higher order Bernoulli numbers of the second kind

被引：7

作者：

Qi, Feng ^{[1
,2
,4
]}

Niu, Da-Wei ^{[3
]}

Guo, Bai-Ni ^{[4
]}

机构：

[1] Tianjin Polytech Univ, Sch Math Sci, Tianjin 300387, Peoples R China

[2] Inner Mongolia Univ Nationalities, Coll Math, Tongliao 028043, Peoples R China

[3] East China Normal Univ, Dept Math, Shanghai 200241, Peoples R China

[4] Henan Polytech Univ, Sch Math & Informat, Jiaozuo 454010, Peoples R China

来源：

AIMS MATHEMATICS | 2019年 / 4卷 / 02期

关键词：

simplification; coefficient; ordinary differential equation; higher order Bernoulli number of the second kind; Stirling number of the first kind; Stirling number of the second kind; inversion formula; Bell polynomial of the second kind; Faa di Bruno formula; STIRLING NUMBERS; EXPLICIT FORMULAS; GENERATING FUNCTION; FAMILY; POLYNOMIALS; EULER; TERMS; IDENTITIES;

D O I：

10.3934/math.2019.2.170

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In the paper, by virtue of the Faa di Bruno formula, some properties of the Bell polynomials of the second kind, and an inversion formula for the Stirling numbers of the first and second kinds, the authors establish meaningfully and significantly two identities which simplify coefficients in a family of ordinary differential equations associated with higher order Bernoulli numbers of the second kind.

引用

页码：170 / 175

页数：6

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