ON GENERALIZATIONS OF STIRLING NUMBERS AND SOME WELL-KNOWN MATRICES

被引：0

作者：

Stanimirovie, Stefan ^{[1
]}

Micie, Ivana ^{[1
]}

机构：

[1] Univ Nis, Fac Sci & Math, Visegradska 33, Nish 18000, Serbia

来源：

FACTA UNIVERSITATIS-SERIES MATHEMATICS AND INFORMATICS | 2023年 / 38卷 / 04期

关键词：

Pascal matrix; Stirling numbers; Stirling matrix; Generalized hypergeo-metric function; Cholesky factorization; Bell numbers; PASCAL MATRIX; SYMMETRIC POLYNOMIALS; FUNCTIONAL MATRIX; CONNECTION; VANDERMONDE; BERNOULLI;

D O I：

10.22190/FUMI230802255S

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We introduce a generalization of the Stirling numbers of the first kind and the second kind. By arranging these numbers into matrices, we generalize the Stirling matrices of the first kind and the second kind investigated by Cheon and Kim [Stirling matrix via Pascal matrix, Linear Algebra Appl. 329 (2001) 49-59]. Furthermore, we introduce generalizations of the Pascal matrix and the symmetric Pascal matrix with two real arguments, and generalize earlier results related to the Pascal matrices, Stirling matrices and matrices involving Bell numbers.

引用

页码：847 / 867

页数：21

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