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 ∗ = L S U S and B ∗ = L B U B where the diagonal entries of U S are k k − 1 , while those of U B are k ! ( k ≥ 1 ).
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