Search

The Online Encyclopedia and Dictionary

 
     
 

Encyclopedia

Dictionary

Quotes

 

Dawson function

In mathematics, the Dawson function is

F(x) = e^{-x^2} \int_0^x e^{t^2}\,dt.

The notation D(x) is also in use. The Dawson function is also called the Dawson integral.

The Dawson function is closely related to the error function erf, as

F(x) = {\sqrt{\pi} \over 2}  e^{-x^2}  \mathrm{erfi} (x)  = - {i \sqrt{\pi} \over 2}  e^{-x^2}  \mathrm{erf} (ix)

where erfi is the imaginary error function, erfi(x) = − i erf(ix).

External link

The contents of this article are licensed from Wikipedia.org under the GNU Free Documentation License. How to see transparent copy