Some Properties of the Legendre-Stirling Numbers

This paper presents some properties of the Legendre-Stirling numbers of the first and second kinds. A matrix representation of the Legendre-Stirling numbers of the first kind is given. And then we establish the congruence properties of the Legendre-Stirling numbers of these two kinds.

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Bibliographic Details
Published inIOP conference series. Materials Science and Engineering Vol. 466; no. 1; pp. 12026 - 12029
Main Authors Guo, Haili, Wang, Kelun
Format Journal Article
LanguageEnglish
Published Bristol IOP Publishing 28.12.2018
Subjects
Combinatorial analysis
Matrix representation
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Summary:This paper presents some properties of the Legendre-Stirling numbers of the first and second kinds. A matrix representation of the Legendre-Stirling numbers of the first kind is given. And then we establish the congruence properties of the Legendre-Stirling numbers of these two kinds.
ISSN:1757-8981
1757-899X
1757-899X
DOI:10.1088/1757-899X/466/1/012026