On the Determinants of the Square-Type Stirling Matrix and Bell Matrix

We study determinants of the square-type Stirling matrix S∗ and the square-type Bell matrix B∗. For this purpose, we prove that S∗ and B∗ have LU factorizations S∗=LSUS and B∗=LBUB where the diagonal entries of US are kk−1, while those of UB are k! (k≥1).

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Bibliographic Details
Published in:International journal of mathematics and mathematical sciences 2021-12, Vol.2021, p.1-13
Main Authors: Choi, Eunmi, Jo, Jiin
Format: Article
Language:English
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Summary:We study determinants of the square-type Stirling matrix S∗ and the square-type Bell matrix B∗. For this purpose, we prove that S∗ and B∗ have LU factorizations S∗=LSUS and B∗=LBUB where the diagonal entries of US are kk−1, while those of UB are k! (k≥1).
ISSN:0161-1712
1687-0425
DOI:10.1155/2021/7959370