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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| Veröffentlicht in: | International journal of mathematics and mathematical sciences 2021-12, Vol.2021, p.1-13 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | eng |
| Online-Zugang: | Volltext |
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| Zusammenfassung: | 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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| ISSN: | 0161-1712 1687-0425 |
| DOI: | 10.1155/2021/7959370 |