1. ## holomorphic isomorfism

Hi,

f is an isomorphism that maps the unit square [-1,1]x[-1,1] onto the open unit disc in the complex plane,such that f(0)=0
prove that f(i*z)=i*f(z) for all z in the unit square.

2. ## Re: holomorphic isomorfism

Originally Posted by hedi

f is an
isomorphism that maps the unit square [-1,1]x[-1,1] onto the unit disc in the complex plane, and also f(0)=0
.

the question is how to prove that
f(izf(iz)
=
if(z)
for every

z∈
unit square.

-Dan

3. ## Re: holomorphic isomorfism

Originally Posted by hedi
Hi,

f is an isomorphism that maps the unit square [-1,1]x[-1,1] onto the open unit disc in the complex plane,such that f(0)=0
prove that f(i*z)=i*f(z) for all z in the unit square.