Convolution Properties of the Generalized Stirling Numbers and the Jacobi-Stirling Numbers of the First Kind

被引：0
|
作者：
Pan, Jiaqiang [1 ]
机构：
[1] Zhejiang Univ, Sch Biomed Engn & Instrumental Sci, Hangzhou 210027, Zhejiang, Peoples R China
来源：
JOURNAL OF INTEGER SEQUENCES | 2013年 / 16卷 / 09期
关键词：
convolution; unified generalized Stirling numbers of the first kind; Jacobi-Stirling numbers of the first kind; generalized Vandermonde convolution; triangular recurrence relation; non-homogeneous linear recurrence relation;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we establish several properties of the unified generalized Stirling numbers of the first kind, and the Jacobi-Stirling numbers of the first kind, by means of the convolution principle of sequences. Obtained results include generalized Vandermonde convolution for the unified generalized Stirling numbers of the first kind, triangular recurrence relation for general Stirling-type numbers of the first kind, and linear recurrence formula for the Jacobi-Stirling numbers of the first kind, and so forth, thereby extending and supplementing known knowledge to the existent literature about. these Stirling-type numbers.
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页数：13
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