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
收藏
页码:750 / 755
页数:6
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