Factorial polynomials and associated number families

被引：0

作者：

Schreiber, Alfred ^{[1
]}

机构：

[1] Univ Flensburg, Dept Math & Math Educ, Auf Campus 1, D-24943 Flensburg, Germany

来源：

NOTES ON NUMBER THEORY AND DISCRETE MATHEMATICS | 2024年 / 30卷 / 01期

关键词：

Potential polynomials; Fa & aacute; di Bruno polynomials; Factorial polynomials; Inverse relations; Stirling numbers; Lah numbers;

D O I：

10.7546/nntdm.2024.30.1.170-178

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Two doubly indexed families of polynomials in several indeterminates are considered. They are related to the falling and rising factorials in a similar way as the potential polynomials (introduced by L. Comtet) are related to the ordinary power function. We study the inversion relations valid for these factorial polynomials as well as the number families associated with them.

引用

页码：170 / 178

页数：9

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