DLMF:14.24.E2 (Q4955)

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DLMF:14.24.E2
No description defined

    Statements

    Defining formula
    𝑸 ν μ ⁡ ( z ⁢ e s ⁢ π ⁢ i ) = ( - 1 ) s ⁢ e - s ⁢ ν ⁢ π ⁢ i ⁢ 𝑸 ν μ ⁡ ( z ) , associated-Legendre-black-Q 𝜇 𝜈 𝑧 superscript 𝑒 𝑠 𝜋 𝑖 superscript 1 𝑠 superscript 𝑒 𝑠 𝜈 𝜋 𝑖 associated-Legendre-black-Q 𝜇 𝜈 𝑧 {\displaystyle{\displaystyle\boldsymbol{Q}^{\mu}_{\nu}\left(ze^{s\pi i}\right)% =(-1)^{s}e^{-s\nu\pi i}\boldsymbol{Q}^{\mu}_{\nu}\left(z\right),}}
    0 references
    DLMF id
    DLMF:14.24.E2
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    Symbols used
    Q11592
    Defining formula
    𝑸 ν μ ⁡ ( z ) associated-Legendre-black-Q 𝜇 𝜈 𝑧 {\displaystyle{\displaystyle\boldsymbol{Q}^{\NVar{\mu}}_{\NVar{\nu}}\left(% \NVar{z}\right)}}
    xml-id
    C14.S21.SS1.p1.m3aadec
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    the ratio of the circumference of a circle to its diameter
    Defining formula
    π {\displaystyle{\displaystyle\pi}}
    xml-id
    C3.S12.E1.m2aadec
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