DLMF:14.8.E11 (Q4785)

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DLMF:14.8.E11
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    Statements

    Defining formula
    𝑸 ν μ ⁡ ( x ) ∼ Γ ⁡ ( μ ) 2 ⁢ Γ ⁡ ( ν + μ + 1 ) ⁢ ( 2 x - 1 ) μ / 2 , asymptotically-equals associated-Legendre-black-Q 𝜇 𝜈 𝑥 Euler-Gamma 𝜇 2 Euler-Gamma 𝜈 𝜇 1 superscript 2 𝑥 1 𝜇 2 {\displaystyle{\displaystyle\boldsymbol{Q}^{\mu}_{\nu}\left(x\right)\sim\frac{% \Gamma\left(\mu\right)}{2\Gamma\left(\nu+\mu+1\right)}\left(\frac{2}{x-1}% \right)^{\mu/2},}}
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    DLMF id
    DLMF:14.8.E11
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    constraint
    ℜ ⁡ μ > 0 𝜇 0 {\displaystyle{\displaystyle\Re\mu>0}}
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    ℜ ⁡ μ > 0 𝜇 0 {\displaystyle{\displaystyle\Re\mu>0}}
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