New definitions of the generalized Stirling numbers

被引：8
|
作者：
Maltenfort, Michael [1 ]
机构：
[1] Northwestern Univ, 1908 Sheridan Rd, Evanston, IL 60208 USA
来源：
AEQUATIONES MATHEMATICAE | 2020年 / 94卷 / 01期
关键词：
Generalized Stirling numbers; r-Whitney numbers; Stirling numbers; R-WHITNEY NUMBERS; IDENTITIES;
D O I：
10.1007/s00010-019-00685-2
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We introduce new combinatorial and algebraic definitions for the generalized Stirling numbers of Hsu and Shiue, and we use the interplay between these definitions to extend existing identities and discover new ones. We also explore how some of these results specialize to new identities of r-Whitney numbers.
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页码：169 / 200
页数：32
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