DLMF:14.8.E8 (Q4782)

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DLMF:14.8.E8
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    P ν m ⁡ ( x ) ∼ Γ ⁡ ( ν + m + 1 ) m ! ⁢ Γ ⁡ ( ν - m + 1 ) ⁢ ( x - 1 2 ) m / 2 , asymptotically-equals Legendre-P-first-kind 𝑚 𝜈 𝑥 Euler-Gamma 𝜈 𝑚 1 𝑚 Euler-Gamma 𝜈 𝑚 1 superscript 𝑥 1 2 𝑚 2 {\displaystyle{\displaystyle P^{m}_{\nu}\left(x\right)\sim\frac{\Gamma\left(% \nu+m+1\right)}{m!\Gamma\left(\nu-m+1\right)}\left(\frac{x-1}{2}\right)^{m/2},}}
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    DLMF:14.8.E8
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