DLMF:11.4.E10 (Q3942): Difference between revisions

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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.m1idec

Latest revision as of 14:39, 2 January 2020

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DLMF:11.4.E10
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    Statements

    Defining formula
    𝐇 - 3 2 ⁡ ( z ) = ( 2 π ⁢ z ) 1 2 ⁢ ( cos ⁡ z - sin ⁡ z z ) , Struve-H 3 2 𝑧 superscript 2 𝜋 𝑧 1 2 𝑧 𝑧 𝑧 {\displaystyle{\displaystyle\mathbf{H}_{-\frac{3}{2}}\left(z\right)=\left(% \frac{2}{\pi z}\right)^{\frac{1}{2}}\left(\cos z-\frac{\sin z}{z}\right),}}
    0 references
    DLMF id
    DLMF:11.4.E10
    0 references
    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.m2addec
    0 references
    the ratio of the circumference of a circle to its diameter
    Defining formula
    π {\displaystyle{\displaystyle\pi}}
    xml-id
    C3.S12.E1.m2agdec
    0 references
    cosine function
    Defining formula
    cos ⁡ z 𝑧 {\displaystyle{\displaystyle\cos\NVar{z}}}
    xml-id
    C4.S14.E2.m2abdec
    0 references
    sine function
    Defining formula
    sin ⁡ z 𝑧 {\displaystyle{\displaystyle\sin\NVar{z}}}
    xml-id
    C4.S14.E1.m2abdec
    0 references
    Q11491
    Defining formula
    z 𝑧 {\displaystyle{\displaystyle z}}
    xml-id
    C11.S1.XMD2.m1idec
    0 references
     
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