Simplifying Coefficients in a Family of Ordinary Differential Equations Related to the Generating Function of the Laguerre Polynomials

被引：0

作者：

Qi, Feng ^{[1
,2
,3
]}

机构：

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

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

[3] Henan Polytech Univ, Inst Math, Jiaozuo 454010, Peoples R China

来源：

APPLICATIONS AND APPLIED MATHEMATICS-AN INTERNATIONAL JOURNAL | 2018年 / 13卷 / 02期

关键词：

Simplifying; coefficient; Laguerre polynomial; generating function; Faa di Bruno formula; ordinary differential equation; Bell polynomial of the second kind; Lah inversion formula;

D O I：

暂无

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, properties of the Bell polynomials of the second kind, and the Lah inversion formula, the author simplifies coefficients in a family of ordinary differential equations related to the generating function of the Laguerre polynomials.

引用

页码：750 / 755

页数：6

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