DLMF:11.5.E5 (Q3972)

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DLMF:11.5.E5
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    Statements

    Defining formula
    𝐌 0 ⁡ ( z ) = - 2 π ⁢ ∫ 0 π / 2 e - z ⁢ cos ⁡ θ ⁢ d θ , associated-Struve-M 0 𝑧 2 𝜋 superscript subscript 0 𝜋 2 superscript 𝑒 𝑧 𝜃 𝜃 {\displaystyle{\displaystyle\mathbf{M}_{0}\left(z\right)=-\frac{2}{\pi}\int_{0% }^{\pi/2}e^{-z\cos\theta}\mathrm{d}\theta,}}
    0 references
    DLMF id
    DLMF:11.5.E5
    0 references
    Symbols used
    modified Struve function
    Defining formula
    𝐌 ν ⁡ ( z ) associated-Struve-M 𝜈 𝑧 {\displaystyle{\displaystyle\mathbf{M}_{\NVar{\nu}}\left(\NVar{z}\right)}}
    xml-id
    C11.S2.E6.m2aadec
    0 references
    the ratio of the circumference of a circle to its diameter
    Defining formula
    π {\displaystyle{\displaystyle\pi}}
    xml-id
    C3.S12.E1.m2addec
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    cosine function
    Defining formula
    cos ⁡ z 𝑧 {\displaystyle{\displaystyle\cos\NVar{z}}}
    xml-id
    C4.S14.E2.m2aadec
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