error function

[Guest simone]

Hi there! Does someone know an analitic expression of fourier transform of error function, or at least, if it exist? Thank you in advance.

[mezarashi]

Analytic expression of a fourier transform... hmmmm. Why do you need one for the Gauss error function in the first place?

 

I correct myself - continuity and integratability is sufficient for existence of a fourier transform.

[lurflurf]

hint

erf is an antiderivative of a gaussian

what if the fourier transform of a gaussian?

[adownard]

Hello,

 

This is in response to the thread begun in june 2005. I am curious - is the implication that the fourier transform of an error function is indeed an error function? if this is indeed the case, how would one draw the contour to perform the integration? doesn't the integrand diverge at inf?

 

thank you

[antonio]

See

http://dlmf.nist.gov/7.14

It contains the Dawson's function

[Bignose]

This has to be some sort of record between original question and useful answer. Most years old posts are answered by spam. Kudos antonio!