I need to prove, that f is holomorphic automorphism C*=C\{0}, when
it's formation is
fa(z)=az
or
fa(z)=a/z
for some non-zero complex number a.
Can anybody help me?
Thank you...
I need to prove, that f is holomorphic automorphism C*=C\{0}
ONLY when it's formation is
f_a(z)=az
or
f_a(z)=a/z
for some non-zero complex number a.
How do I get to this formation of f if I know that f is holomorphic automorphism C*=C\{0}?