DLMF:11.7.E2 (Q3991)

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DLMF:11.7.E2
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    Statements

    test
    ∫ z - ν ⁢ 𝐇 ν + 1 ⁡ ( z ) ⁢ d z = - z - ν ⁢ 𝐇 ν ⁡ ( z ) + 2 - ν ⁢ z π ⁢ Γ ⁡ ( ν + 3 2 ) , superscript 𝑧 𝜈 Struve-H 𝜈 1 𝑧 𝑧 superscript 𝑧 𝜈 Struve-H 𝜈 𝑧 superscript 2 𝜈 𝑧 𝜋 Euler-Gamma 𝜈 3 2 {\displaystyle{\displaystyle\int z^{-\nu}\mathbf{H}_{\nu+1}\left(z\right)% \mathrm{d}z=-z^{-\nu}\mathbf{H}_{\nu}\left(z\right)+\frac{2^{-\nu}z}{\sqrt{\pi% }\Gamma\left(\nu+\tfrac{3}{2}\right)},}}
    0 references
    DLMF id
    DLMF:11.7.E2
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    Symbols used
    gamma function
    test
    Γ ⁡ ( z ) Euler-Gamma 𝑧 {\displaystyle{\displaystyle\Gamma\left(\NVar{z}\right)}}
    xml-id
    C5.S2.E1.m2adec
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