Re: Separating real part and imaginary part from each other

• To: mathgroup at smc.vnet.net
• Subject: [mg101240] Re: Separating real part and imaginary part from each other
• From: Jens-Peer Kuska <kuska at informatik.uni-leipzig.de>
• Date: Sat, 27 Jun 2009 06:06:26 -0400 (EDT)
• References: <h2295a\$hoj\$1@smc.vnet.net>

```Hi,

f[z_] := (a*z + b)/(c*z + d)

f[x + I*y] // {Re[#], Im[#]} & // ComplexExpand

?

Regards
Jens

Alexander wrote:
> 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
>

```

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