DLMF:11.10.E27 (Q4049): Difference between revisions

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‎Changed an Item: Add constraint
‎Changed an Item: Add constraint
Property / Symbols used
 
Property / Symbols used: the ratio of the circumference of a circle to its diameter / rank
 
Normal rank
Property / Symbols used: the ratio of the circumference of a circle to its diameter / qualifier
 
Defining formula:

π {\displaystyle{\displaystyle\pi}}

\cpi
Property / Symbols used: the ratio of the circumference of a circle to its diameter / qualifier
 
xml-id: C3.S12.E1.m2audec

Revision as of 14:58, 2 January 2020

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DLMF:11.10.E27
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    Statements

    Defining formula
    ∂ ∂ ⁡ ν ⁡ 𝐉 ν ⁡ ( z ) | ν = 0 = 1 2 ⁢ π ⁢ 𝐇 0 ⁡ ( z ) , evaluated-at partial-derivative 𝜈 Anger-J 𝜈 𝑧 𝜈 0 1 2 𝜋 Struve-H 0 𝑧 {\displaystyle{\displaystyle\left.\frac{\partial}{\partial\nu}\mathbf{J}_{\nu}% \left(z\right)\right|_{\nu=0}=\tfrac{1}{2}\pi\mathbf{H}_{0}\left(z\right),}}
    0 references
    DLMF id
    DLMF:11.10.E27
    0 references
    Symbols used
    Anger function
    Defining formula
    𝐉 ν ⁡ ( z ) Anger-J 𝜈 𝑧 {\displaystyle{\displaystyle\mathbf{J}_{\NVar{\nu}}\left(\NVar{z}\right)}}
    xml-id
    C11.S10.E1.m2andec
    0 references
    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.m2acdec
    0 references
    the ratio of the circumference of a circle to its diameter
    Defining formula
    π {\displaystyle{\displaystyle\pi}}
    xml-id
    C3.S12.E1.m2audec
    0 references
     
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