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Question: fourier transform of erf(x) ?

Question:fourier transform of erf(x) ?

nm 10406 Maple 2019
fourier inttrans erf
December 03 2019
1

Hello;

Maple 2019.2.1 on windows 10

Is there a trick to make inttrans:-fourier(erf(x),x,k) return the Fourier transform of the error function? Now, using Maple 2019.2.1 it returns unevaluated. But direct application of Fourier transform integral does return the correct result. So why inttrans does not work? 
 

> 

inttrans:-fourier(erf(x),x,k)

fourier(erf(x), x, k)

> 

1/sqrt(2*Pi)*int(erf(x)*exp(-I*x*k),x=-infinity..infinity)

-I*2^(1/2)*exp(-(1/4)*k^2)/(Pi^(1/2)*k)

> 

 

 

Download erf.mw

 

 

 
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