DLMF:11.4.E16 (Q3948)

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DLMF:11.4.E16
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    Statements

    Defining formula
    𝐇 ν ⁡ ( z ⁢ e m ⁢ π ⁢ i ) = e m ⁢ π ⁢ i ⁢ ( ν + 1 ) ⁢ 𝐇 ν ⁡ ( z ) , Struve-H 𝜈 𝑧 superscript 𝑒 𝑚 𝜋 𝑖 superscript 𝑒 𝑚 𝜋 𝑖 𝜈 1 Struve-H 𝜈 𝑧 {\displaystyle{\displaystyle\mathbf{H}_{\nu}\left(ze^{m\pi i}\right)=e^{m\pi i% (\nu+1)}\mathbf{H}_{\nu}\left(z\right),}}
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    DLMF id
    DLMF:11.4.E16
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    constraint
    m ∈ ℤ 𝑚 {\displaystyle{\displaystyle m\in\mathbb{Z}}}
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    Symbols used
    Struve function
    Defining formula
    𝐇 ν ⁡ ( z ) Struve-H 𝜈 𝑧 {\displaystyle{\displaystyle\mathbf{H}_{\NVar{\nu}}\left(\NVar{z}\right)}}
    xml-id
    C11.S2.E1.m2agdec
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