DLMF:14.9.E9 (Q4800)

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DLMF:14.9.E9
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    test
    2 Γ ⁡ ( ν + μ + 1 ) ⁢ Γ ⁡ ( μ - ν ) ⁢ 𝖰 ν μ ⁡ ( x ) = - cos ⁡ ( ν ⁢ π ) ⁢ 𝖯 ν - μ ⁡ ( x ) + cos ⁡ ( μ ⁢ π ) ⁢ 𝖯 ν - μ ⁡ ( - x ) , 2 Euler-Gamma 𝜈 𝜇 1 Euler-Gamma 𝜇 𝜈 Ferrers-Legendre-Q-first-kind 𝜇 𝜈 𝑥 𝜈 𝜋 Ferrers-Legendre-P-first-kind 𝜇 𝜈 𝑥 𝜇 𝜋 Ferrers-Legendre-P-first-kind 𝜇 𝜈 𝑥 {\displaystyle{\displaystyle\frac{2}{\Gamma\left(\nu+\mu+1\right)\Gamma\left(% \mu-\nu\right)}\mathsf{Q}^{\mu}_{\nu}\left(x\right)=-\cos\left(\nu\pi\right)% \mathsf{P}^{-\mu}_{\nu}\left(x\right)+\cos\left(\mu\pi\right)\mathsf{P}^{-\mu}% _{\nu}\left(-x\right),}}
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    DLMF id
    DLMF:14.9.E9
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