DLMF:14.14.E3 (Q4844)

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DLMF:14.14.E3
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    Statements

    test
    ( ν - μ ) ⁢ Q ν μ ⁡ ( x ) Q ν - 1 μ ⁡ ( x ) = x 0 y 0 - x 1 y 1 - x 2 y 2 - ⋯ , 𝜈 𝜇 Legendre-Q-second-kind 𝜇 𝜈 𝑥 Legendre-Q-second-kind 𝜇 𝜈 1 𝑥 continued-fraction subscript 𝑥 0 subscript 𝑦 0 continued-fraction subscript 𝑥 1 subscript 𝑦 1 continued-fraction subscript 𝑥 2 subscript 𝑦 2 ⋯ {\displaystyle{\displaystyle(\nu-\mu)\frac{Q^{\mu}_{\nu}\left(x\right)}{Q^{\mu% }_{\nu-1}\left(x\right)}=\cfrac{x_{0}}{y_{0}-\cfrac{x_{1}}{y_{1}-\cfrac{x_{2}}% {y_{2}-\cdots}}},}}
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    DLMF id
    DLMF:14.14.E3
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    constraint
    ν ≠ μ 𝜈 𝜇 {\displaystyle{\displaystyle\nu\neq\mu}}
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