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

Eunmi Choi and Jiin Jo

International Journal of Mathematics and Mathematical Sciences, 2021, vol. 2021, issue 1

Abstract: 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).

Date: 2021
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https://doi.org/10.1155/2021/7959370

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jijmms:v:2021:y:2021:i:1:n:7959370

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