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Question: Cut of Errorfunction

Question:Cut of Errorfunction

digerdiga 390 Maple 15
error-function
June 22 2018
0

I'm currently wondering about the cut I'm looking for in the following worksheet.

I evaluate it in 2 ways but get different answers. Any idea what the problem here is?

Thanks


 

> 

restart; dIs := sqrt(Pi/(I*s))*exp(I*s*t-I*s*omega0^2); Is1 := `assuming`([simplify(int(dIs, s))], [s > 0]); dIs := `assuming`([int(exp(-I*(omega^2+omega0^2-t)*s), omega = -infinity .. infinity)], [s > 0]); Is2 := int(%, s); plot3d(Im(eval(Is1, [t = x+I*y, s = 1, omega0 = 1])), x = -3 .. 3, y = -3 .. 3)

(-I*Pi/s)^(1/2)*exp(I*s*t-I*s*omega0^2)

  

(1/2-(1/2)*I)*Pi*2^(1/2)*erf(s^(1/2)*(I*(omega0^2-t))^(1/2))/(I*(omega0^2-t))^(1/2)

  

exp(I*s*t-I*s*omega0^2)*Pi^(1/2)/(I*s)^(1/2)

  

-I*Pi*erf((omega0^2-t)^(1/2)*(I*s)^(1/2))/(omega0^2-t)^(1/2)

  

 
> 

``


 

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