DLMF:3.5.E31 (Q1285)

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DLMF:3.5.E31
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    Defining formula
    𝐉 n = [ α 0 β 1 0 β 1 α 1 β 2 ⋱ ⋱ ⋱ β n - 2 α n - 2 β n - 1 0 β n - 1 α n - 1 ] . subscript 𝐉 𝑛 subscript 𝛼 0 subscript 𝛽 1 absent absent 0 subscript 𝛽 1 subscript 𝛼 1 subscript 𝛽 2 absent absent absent ⋱ ⋱ ⋱ absent absent absent subscript 𝛽 𝑛 2 subscript 𝛼 𝑛 2 subscript 𝛽 𝑛 1 0 absent absent subscript 𝛽 𝑛 1 subscript 𝛼 𝑛 1 {\displaystyle{\displaystyle\mathbf{J}_{n}=\begin{bmatrix}\alpha_{0}&\sqrt{% \beta_{1}}&&&0\\ \sqrt{\beta_{1}}&\alpha_{1}&\sqrt{\beta_{2}}&&\\ &\ddots&\ddots&\ddots&\\ &&\sqrt{\beta_{n-2}}&\alpha_{n-2}&\sqrt{\beta_{n-1}}\\ 0&&&\sqrt{\beta_{n-1}}&\alpha_{n-1}\end{bmatrix}.}}
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    DLMF id
    DLMF:3.5.E31
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    Warning: Falling back to standard tex;
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