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How to find the domain of this complex function????

Posted 9 years ago
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0<arg((z+i)/(z-i))<Pi/4 

Some help would be apreciated!!! Thanks!

POSTED BY: Altin Guberi
In[3]:= Reduce[0 <= Arg[(z + I)/(z - I)] <= \[Pi]/4, z]

Out[3]= (Re[z] == 0 && (Im[z] <= -1 || Im[z] > 1)) || (0 < Re[z] < 
    1 + Sqrt[2] && (Im[z] <= -Sqrt[1 + 2 Re[z] - Re[z]^2] || 
     Im[z] >= Sqrt[1 + 2 Re[z] - Re[z]^2])) || Re[z] >= 1 + Sqrt[2]
POSTED BY: Frank Kampas
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