DLMF:11.4.E27 (Q3959)

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DLMF:11.4.E27
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    Statements

    Defining formula
    d d z ⁡ ( z ν ⁢ 𝐇 ν ⁡ ( z ) ) = z ν ⁢ 𝐇 ν - 1 ⁡ ( z ) , derivative 𝑧 superscript 𝑧 𝜈 Struve-H 𝜈 𝑧 superscript 𝑧 𝜈 Struve-H 𝜈 1 𝑧 {\displaystyle{\displaystyle\frac{\mathrm{d}}{\mathrm{d}z}\left(z^{\nu}\mathbf% {H}_{\nu}\left(z\right)\right)=z^{\nu}\mathbf{H}_{\nu-1}\left(z\right),}}
    0 references
    DLMF id
    DLMF:11.4.E27
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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.m2aodec
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    derivative of $$f$$ with respect to $$x$$
    Defining formula
    d f d x derivative 𝑓 𝑥 {\displaystyle{\displaystyle\frac{\mathrm{d}\NVar{f}}{\mathrm{d}\NVar{x}}}}
    xml-id
    C1.S4.E4.m2adec
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    Q11491
    Defining formula
    z 𝑧 {\displaystyle{\displaystyle z}}
    xml-id
    C11.S1.XMD2.m1ydec
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    Q11492
    Defining formula
    ν 𝜈 {\displaystyle{\displaystyle\nu}}
    xml-id
    C11.S1.XMD3.m1ldec
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