DLMF:14.24.E3 (Q4956)

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DLMF:14.24.E3
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    Statements

    Defining formula
    P ν , s - μ ⁡ ( z ) = e s ⁢ μ ⁢ π ⁢ i ⁢ P ν - μ ⁡ ( z ) , Legendre-P-first-kind 𝜇 𝜈 𝑠 𝑧 superscript 𝑒 𝑠 𝜇 𝜋 𝑖 Legendre-P-first-kind 𝜇 𝜈 𝑧 {\displaystyle{\displaystyle P^{-\mu}_{\nu,s}\left(z\right)=e^{s\mu\pi i}P^{-% \mu}_{\nu}\left(z\right),}}
    0 references
    DLMF id
    DLMF:14.24.E3
    0 references
    Symbols used
    Q11481
    Defining formula
    P ν μ ⁡ ( z ) Legendre-P-first-kind 𝜇 𝜈 𝑧 {\displaystyle{\displaystyle P^{\NVar{\mu}}_{\NVar{\nu}}\left(\NVar{z}\right)}}
    xml-id
    C14.S21.SS1.p1.m1aadec
    0 references
     
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