DLMF:11.4.E16 (Q3948)

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DLMF:11.4.E16
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    Statements

    test
    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
    test
    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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    the ratio of the circumference of a circle to its diameter
    test
    π {\displaystyle{\displaystyle\pi}}
    xml-id
    C3.S12.E1.m2akdec
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    Q10784
    test
    ∈ {\displaystyle{\displaystyle\in}}
    xml-id
    introduction.Sx4.p1.t1.r10.m2adec
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    base of natural logarithm
    test
    e {\displaystyle{\displaystyle\mathrm{e}}}
    xml-id
    C4.S2.E11.m2adec
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