DLMF:12.7.E4 (Q4127): 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.m2aadec

Revision as of 15:11, 2 January 2020

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DLMF:12.7.E4
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    Statements

    V ( - 1 2 , z ) = ( 2 / π ) e 1 4 z 2 F ( z / 2 ) , parabolic-V 1 2 𝑧 2 𝜋 superscript 𝑒 1 4 superscript 𝑧 2 Dawsons-integral 𝑧 2 {\displaystyle{\displaystyle V\left(-\tfrac{1}{2},z\right)=(\ifrac{2}{\sqrt{% \pi}}\,)e^{\frac{1}{4}z^{2}}F\left(z/\sqrt{2}\right),}}
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    DLMF:12.7.E4
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    F ( z ) Dawsons-integral 𝑧 {\displaystyle{\displaystyle F\left(\NVar{z}\right)}}
    C7.S2.E5.m2adec
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    π {\displaystyle{\displaystyle\pi}}
    C3.S12.E1.m2aadec
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