On the matrices with the generalized hyperharmonic numbers of order \(r\). (English) Zbl 1391.11056
Summary: In this paper, we define two \(n \times n\) matrices \(A_n\) and \(B_n\) with \(a_{i, j} = H_{i, j}^r\) and \(b_{i, j} = H_{i, m}^j,\) respectively, where \(H_{n, m}^r\) are a generalized hyperharmonic numbers of order \(r\). We present some new factorizations and determinants of the matrices \(A_n\) and \(B_n\).
MSC:
| 11B99 | Sequences and sets |
| 11C20 | Matrices, determinants in number theory |
| 15A23 | Factorization of matrices |
References:
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