DLMF:14.11.E1 (Q4817)

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DLMF:14.11.E1
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    ν 𝖯 ν μ ( x ) = π cot ( ν π ) 𝖯 ν μ ( x ) - 1 π 𝖠 ν μ ( x ) , partial-derivative 𝜈 Ferrers-Legendre-P-first-kind 𝜇 𝜈 𝑥 𝜋 𝜈 𝜋 Ferrers-Legendre-P-first-kind 𝜇 𝜈 𝑥 1 𝜋 superscript subscript 𝖠 𝜈 𝜇 𝑥 {\displaystyle{\displaystyle\frac{\partial}{\partial\nu}\mathsf{P}^{\mu}_{\nu}% \left(x\right)=\pi\cot\left(\nu\pi\right)\mathsf{P}^{\mu}_{\nu}\left(x\right)-% \frac{1}{\pi}\mathsf{A}_{\nu}^{\mu}(x),}}
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    DLMF:14.11.E1
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    𝖯 ν μ ( x ) Ferrers-Legendre-P-first-kind 𝜇 𝜈 𝑥 {\displaystyle{\displaystyle\mathsf{P}^{\NVar{\mu}}_{\NVar{\nu}}\left(\NVar{x}% \right)}}
    C14.S3.E1.m2adec
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