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Paper
IPM / M / 9543 |
School of Mathematics
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Title: |
Evaluating some determinants of matrices with recursive entries
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Author(s): |
A. R. Moghaddamfar (Joint with S. Navid Salehy and S. Nima Salehy)
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Status: |
Published
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Journal: |
Bull. Korean Math. Soc.
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Vol.: |
46
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Year: |
2009
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Pages: |
331-346
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Supported by: |
IPM
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Abstract: |
Abstract. Let α = (α1, α2, …) and
β = (β1, β2, …) be two sequences with
α1=β1 and k and n be natural numbers. We denote
by Aα,β(k,±)(n) the matrix of order n with
coefficients ai,j by setting a1,i=αi,
ai,1=βi for 1 ≤ i ≤ n and
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ai,j= | ⎧
⎪
⎨
⎪
⎩
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j ≡ 2, 3, 4, …, k+1 mod 2k |
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for 2 ≤ i,j ≤ n. The aim of this paper is to study the
determinants of such matrices related to certain sequences
α and β, and some natural numbers k.
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