DLMF:11.5.E5 (Q3972): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: Q10771 / rank
 
Normal rank
Property / Symbols used: Q10771 / qualifier
 
Defining formula:

∫ {\displaystyle{\displaystyle\int}}

\int
Property / Symbols used: Q10771 / qualifier
 
xml-id: C1.S4.SS4.m3addec
Property / Symbols used
 
Property / Symbols used: Q11491 / rank
 
Normal rank
Property / Symbols used: Q11491 / qualifier
 
Defining formula:

z 𝑧 {\displaystyle{\displaystyle z}}

z
Property / Symbols used: Q11491 / qualifier
 
xml-id: C11.S1.XMD2.m1ddec

Latest revision as of 14:44, 2 January 2020

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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
    0 references
    cosine function
    Defining formula
    cos ⁡ z 𝑧 {\displaystyle{\displaystyle\cos\NVar{z}}}
    xml-id
    C4.S14.E2.m2aadec
    0 references
    Q10770
    Defining formula
    d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}
    xml-id
    C1.S4.SS4.m1addec
    0 references
    base of natural logarithm
    Defining formula
    e {\displaystyle{\displaystyle\mathrm{e}}}
    xml-id
    C4.S2.E11.m2acdec
    0 references
    Q10771
    Defining formula
    ∫ {\displaystyle{\displaystyle\int}}
    xml-id
    C1.S4.SS4.m3addec
    0 references
    Q11491
    Defining formula
    z 𝑧 {\displaystyle{\displaystyle z}}
    xml-id
    C11.S1.XMD2.m1ddec
    0 references
     
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