Difference between revisions of "Dawson D+"

From specialfunctionswiki
Jump to: navigation, search
(Created page with "The Dawson function $D+$ is defined by $$D_+(x)=e^{-x^2}\displaystyle\int_0^x e^{t^2} dt,$$ where $e^{-x^2}$ denotes the exponential. =Properties= =References= Catego...")
 
 
(4 intermediate revisions by the same user not shown)
Line 1: Line 1:
The Dawson function $D+$ is defined by
+
The Dawson function $D+$ (sometimes called the Dawson $F$ function) is defined by
$$D_+(x)=e^{-x^2}\displaystyle\int_0^x e^{t^2} dt,$$
+
$$D_+(x)=e^{-x^2}\displaystyle\int_0^x e^{t^2} \mathrm{d}t,$$
 
where $e^{-x^2}$ denotes the [[exponential]].
 
where $e^{-x^2}$ denotes the [[exponential]].
 +
 +
 +
<div align="center">
 +
<gallery>
 +
File:Dawsondplusplot.png|Plot of $D_+$ on $[-15,15]$.
 +
</gallery>
 +
</div>
  
 
=Properties=
 
=Properties=
 +
 +
=See also=
 +
[[Dawson D-]]<br />
 +
[[Error function]]<br />
 +
[[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