Simplifying Coefficients in Differential Equations Related to Generating Functions of Reverse Bessel and Partially Degenerate Bell Polynomials

被引：7
|
作者：
Qi, Feng [1 ,2 ,3 ]
机构：
[1] Tianjin Polytech Univ, Sch Math Sci, Tianjin 300387, Peoples R China
[2] Inner Mongolia Univ Nationalities, Coll Math, Tongliao 028043, Inner Mongolia, Peoples R China
[3] Henan Polytech Univ, Inst Math, Jiaozuo 454010, Henan, Peoples R China
来源：
BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA | 2021年 / 39卷 / 04期
关键词：
Ordinary differential equation; Coefficient; Generating function; Simplification; Partially degenerate Bell polynomial; Reverse Bessel polynomial; Bell polynomials of the second kind; Faa di Bruno formula; INCOMPLETE GAMMA; SIMPLE FORM; FAMILY; INEQUALITIES; NUMBERS; BERNOULLI; TERMS; EULER;
D O I：
10.5269/bspm.41758
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In the paper, by virtue of the Faa di Bruno formula and identities for the Bell polynomials of the second kind, the author simplifies coefficients in a family of ordinary differential equations related to generating functions of reverse Bessel and partially degenerate Bell polynomials.
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页码：73 / 82
页数：10
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