DLMF:14.8.E5 (Q4779)

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DLMF:14.8.E5
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    Defining formula
    𝖰 ν μ ⁡ ( x ) ∼ ( - 1 ) μ + ( 1 / 2 ) ⁢ π ⁢ Γ ⁡ ( ν + μ + 1 ) 2 ⁢ Γ ⁡ ( μ + 1 ) ⁢ Γ ⁡ ( ν - μ + 1 ) ⁢ ( 1 - x 2 ) μ / 2 , asymptotically-equals Ferrers-Legendre-Q-first-kind 𝜇 𝜈 𝑥 superscript 1 𝜇 1 2 𝜋 Euler-Gamma 𝜈 𝜇 1 2 Euler-Gamma 𝜇 1 Euler-Gamma 𝜈 𝜇 1 superscript 1 𝑥 2 𝜇 2 {\displaystyle{\displaystyle\mathsf{Q}^{\mu}_{\nu}\left(x\right)\sim(-1)^{\mu+% (1/2)}\frac{\pi\Gamma\left(\nu+\mu+1\right)}{2\Gamma\left(\mu+1\right)\Gamma% \left(\nu-\mu+1\right)}\left(\frac{1-x}{2}\right)^{\mu/2},}}
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    DLMF id
    DLMF:14.8.E5
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