DLMF:11.4.E17 (Q3949)

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DLMF:11.4.E17
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    Statements

    Defining formula
    𝐋 ν ⁡ ( z ⁢ e m ⁢ π ⁢ i ) = e m ⁢ π ⁢ i ⁢ ( ν + 1 ) ⁢ 𝐋 ν ⁡ ( z ) , modified-Struve-L 𝜈 𝑧 superscript 𝑒 𝑚 𝜋 𝑖 superscript 𝑒 𝑚 𝜋 𝑖 𝜈 1 modified-Struve-L 𝜈 𝑧 {\displaystyle{\displaystyle\mathbf{L}_{\nu}\left(ze^{m\pi i}\right)=e^{m\pi i% (\nu+1)}\mathbf{L}_{\nu}\left(z\right),}}
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    DLMF id
    DLMF:11.4.E17
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    constraint
    m ∈ ℤ 𝑚 {\displaystyle{\displaystyle m\in\mathbb{Z}}}
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    Symbols used
    the ratio of the circumference of a circle to its diameter
    Defining formula
    π {\displaystyle{\displaystyle\pi}}
    xml-id
    C3.S12.E1.m2aldec
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    Q10784
    Defining formula
    ∈ {\displaystyle{\displaystyle\in}}
    xml-id
    introduction.Sx4.p1.t1.r10.m2aadec
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    base of natural logarithm
    Defining formula
    e {\displaystyle{\displaystyle\mathrm{e}}}
    xml-id
    C4.S2.E11.m2aadec
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    imaginary unit
    Defining formula
    i imaginary-unit {\displaystyle{\displaystyle\mathrm{i}}}
    xml-id
    C1.S9.E1.m2aadec
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