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Separating real part and imaginary part from each other

• To: mathgroup at smc.vnet.net
• Subject: [mg101189] Separating real part and imaginary part from each other
• From: Alexander <alexander.erlich at gmail.com>
• Date: Fri, 26 Jun 2009 06:50:54 -0400 (EDT)

Hi,

suppose I have the expression

f(z) = (a*z+b) / (c*z+d) with z=x+I*y

I did the calculation by hand and was able to separate real part fom
imag. part to obtain something like this:

g=f(x+I*y) = Re(g) + I * Im(g)

But I don't know how to do this in Mathematica. I tried FullSimplify,
Together, Apart, they didn't work. Can you help me?

Alexander

• Follow-Ups:
  • Re: Separating real part and imaginary part from each
    • From: Murray Eisenberg <murray@math.umass.edu>
  • Re: Separating real part and imaginary part from each
    • From: Porscha Louise McRobbie <pmcrobbi@umich.edu>