Difference between revisions of "Dawson D+"

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The Dawson function $D+$ is defined by
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The Dawson function $D+$ (sometimes called the Dawson $F$ function) is defined by
$$D_+(x)=e^{-x^2}\displaystyle\int_0^x e^{t^2} dt,$$
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$$D_+(x)=e^{-x^2}\displaystyle\int_0^x e^{t^2} \mathrm{d}t,$$
 
where $e^{-x^2}$ denotes the [[exponential]].
 
where $e^{-x^2}$ denotes the [[exponential]].
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<div align="center">
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<gallery>
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File:Dawsondplusplot.png|Plot of $D_+$ on $[-15,15]$.
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</gallery>
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</div>
  
 
=Properties=
 
=Properties=
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=See also=
 
=See also=
 
[[Dawson D-]]<br />
 
[[Dawson D-]]<br />
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[[Error function]]<br />
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[[Faddeeva function]]<br />
  
 
=References=
 
=References=
  
 
[[Category:SpecialFunction]]
 
[[Category:SpecialFunction]]

Latest revision as of 00:21, 29 October 2017

The Dawson function $D+$ (sometimes called the Dawson $F$ function) is defined by $$D_+(x)=e^{-x^2}\displaystyle\int_0^x e^{t^2} \mathrm{d}t,$$ where $e^{-x^2}$ denotes the exponential.


Properties

See also

Dawson D-
Error function
Faddeeva function

References