DLMF:14.5.E1 (Q4713)

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DLMF:14.5.E1
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    Defining formula
    𝖯 ν μ ⁡ ( 0 ) = 2 μ ⁢ π 1 / 2 Γ ⁡ ( 1 2 ⁢ ν - 1 2 ⁢ μ + 1 ) ⁢ Γ ⁡ ( 1 2 - 1 2 ⁢ ν - 1 2 ⁢ μ ) , Ferrers-Legendre-P-first-kind 𝜇 𝜈 0 superscript 2 𝜇 superscript 𝜋 1 2 Euler-Gamma 1 2 𝜈 1 2 𝜇 1 Euler-Gamma 1 2 1 2 𝜈 1 2 𝜇 {\displaystyle{\displaystyle\mathsf{P}^{\mu}_{\nu}\left(0\right)=\frac{2^{\mu}% \pi^{1/2}}{\Gamma\left(\frac{1}{2}\nu-\frac{1}{2}\mu+1\right)\Gamma\left(\frac% {1}{2}-\frac{1}{2}\nu-\frac{1}{2}\mu\right)},}}
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    DLMF id
    DLMF:14.5.E1
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