Possible Duplicate:
Unit Disc representation help
Show that $aB_{1}(1) = B_{|a|}(a)$ for an $a\in \mathbb{C}^{*}$
This is a remark in a book called theory of complex functions that I want to prove, but I am stuck at many things I tried:
I tried to put $z=e^{i\phi}$ . That was not correct
I tried to put $B_{1}(1) : |z-1|<1 $ and then multiply it with $a:= x+iy$ so: $a|z-1| < a$ but because no |a| exists in this this can not be right.
Does anybody see a way to show this equation. Tell me. Please.
V