Simplifying Complex expressions in Matlab Symbolic Toolbox

Is there any way of finding the real and imaginary part of an expression using a method similar to this one ?

syms x y xv yv T

z = complex(x, y);

zv = complex(xv,yv);

z_conj = complex(xv,-yv);

f(z) = (-T/(2*pi))*1i*log((z^2-zv^2)*(z^2-z_conj^2));

xv, yv and T are parameters.

[John D'Errico]

Did you not do exactly that?

[JXT119]

No, I want to obtain a simplified expression of the form f(z) = g(x,y,xv,yv,T) + iH(x,y,xv,yv,T)

Answer 1

[Steven Lord]

Did you mean to assume that x, y, xv, yv, and/or T are real?

syms x1 y1 real
syms x2 y2
z1 = x1 + 1i*y1

z1 = 

z2 = x2 + 1i*y2

z2 = 

z1c = real(z1)

z1c = 

z2c = real(z2)

z2c = 

[JXT119]

Yes, but I want to obtain a simplified expression of the form f(z) = g(x,y,xv,yv,T) + iH(x,y,xv,yv,T), but I do not know if Matlab Symbolic Toolbox is able to do so.