DLMF:11.4.E5 (Q3937): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: cosine function / rank
 
Normal rank
Property / Symbols used: cosine function / qualifier
 
Defining formula:

cos ⁡ z 𝑧 {\displaystyle{\displaystyle\cos\NVar{z}}}

\cos@@{\NVar{z}}
Property / Symbols used: cosine function / qualifier
 
xml-id: C4.S14.E2.m2adec

Revision as of 14:38, 2 January 2020

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DLMF:11.4.E5
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    Statements

    Defining formula
    𝐇 1 2 ⁡ ( z ) = ( 2 π ⁢ z ) 1 2 ⁢ ( 1 - cos ⁡ z ) , Struve-H 1 2 𝑧 superscript 2 𝜋 𝑧 1 2 1 𝑧 {\displaystyle{\displaystyle\mathbf{H}_{\frac{1}{2}}\left(z\right)=\left(\frac% {2}{\pi z}\right)^{\frac{1}{2}}(1-\cos z),}}
    0 references
    DLMF id
    DLMF:11.4.E5
    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.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.m2abdec
    0 references
    cosine function
    Defining formula
    cos ⁡ z 𝑧 {\displaystyle{\displaystyle\cos\NVar{z}}}
    xml-id
    C4.S14.E2.m2adec
    0 references
     
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