DLMF:14.5.E18 (Q4730)

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DLMF:14.5.E18
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    Statements

    test
    𝖯 ν - ν ⁡ ( cos ⁡ θ ) = ( sin ⁡ θ ) ν 2 ν ⁢ Γ ⁡ ( ν + 1 ) , Ferrers-Legendre-P-first-kind 𝜈 𝜈 𝜃 superscript 𝜃 𝜈 superscript 2 𝜈 Euler-Gamma 𝜈 1 {\displaystyle{\displaystyle\mathsf{P}^{-\nu}_{\nu}\left(\cos\theta\right)=% \frac{(\sin\theta)^{\nu}}{2^{\nu}\Gamma\left(\nu+1\right)},}}
    0 references
    DLMF id
    DLMF:14.5.E18
    0 references
    Symbols used
    gamma function
    test
    Γ ⁡ ( z ) Euler-Gamma 𝑧 {\displaystyle{\displaystyle\Gamma\left(\NVar{z}\right)}}
    xml-id
    C5.S2.E1.m2aedec
    0 references
     
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