DLMF:14.2.E3 (Q4681)

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DLMF:14.2.E3
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    𝒲 { 𝖯 ν - μ ( x ) , 𝖯 ν - μ ( - x ) } = 2 Γ ( μ - ν ) Γ ( ν + μ + 1 ) ( 1 - x 2 ) , Wronskian Ferrers-Legendre-P-first-kind 𝜇 𝜈 𝑥 Ferrers-Legendre-P-first-kind 𝜇 𝜈 𝑥 2 Euler-Gamma 𝜇 𝜈 Euler-Gamma 𝜈 𝜇 1 1 superscript 𝑥 2 {\displaystyle{\displaystyle\mathscr{W}\left\{\mathsf{P}^{-\mu}_{\nu}\left(x% \right),\mathsf{P}^{-\mu}_{\nu}\left(-x\right)\right\}=\frac{2}{\Gamma\left(% \mu-\nu\right)\Gamma\left(\nu+\mu+1\right)\left(1-x^{2}\right)},}}
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