
Re: Real and Imaginary Parts of complex functions
Posted:
Feb 27, 2013 3:04 AM


On 2/26/13 at 1:09 AM, brenttnewman@gmail.com (Brentt) wrote:
>I was wondering why this works
>IN[]:= Refine[Re[x + y I], Element[x , Reals] && Element[y , Reals]]
>Out[]:= x
>But this does not
>In[]:= Refine[Re[1/(x + y I)], Element[x , Reals] && Element[y , >Reals]]
>Out[]:= Re[1/(x + y I)]
>Is there a nice built in way to get the real and imaginary parts of >a complex function?
ComplexExpand, for example:
In[3]:= List @@ ComplexExpand[1/(x + y I)]
Out[3]= {x/(x^2 + y^2), ((I*y)/(x^2 + y^2))}

