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seen Jan 21 '13 at 12:17

Jun
17
comment Implication injective holomorphic function on the zeroes of derivative
Has the fundamental theorem of algebra any role here?
Jun
17
comment Implication Laurent series to polynomial
Thank you very much!
Jun
17
asked Implication injective holomorphic function on the zeroes of derivative
Jun
17
comment Implication Laurent series to polynomial
Corrected both mistakes.
Jun
17
asked Implication Laurent series to polynomial
Jun
17
accepted Automorphisms in unit disk
Jun
17
accepted A question Riemann's mapping theorem
Jun
17
comment A question Riemann's mapping theorem
Ahh, the bijective property does not uphold, I see.
Jun
17
asked A question Riemann's mapping theorem
Jun
17
accepted Analytic functions with poles
Jun
17
comment Analytic functions with poles
You are absolutely right, $f(z)-a$ has no zeroes (this is part of the proof of Picards theorem for meromorphic functions).
Jun
17
comment Analytic functions with poles
Sorry, my questions was very badly phrased. I've edited. Thank you for your input and sorry again!
Jun
17
revised Analytic functions with poles
added 20 characters in body
Jun
17
comment Harmonic Function which cannot be described as real part of a holomorphic function
The fact that $\log|z|$ is not defined at zero is the reason why it is not the real part of a holomorphic function on the same region?
Jun
17
asked Analytic functions with poles
Jun
17
comment Antiderivative simply connected region
Yes, you are right.
Jun
17
comment Automorphisms in unit disk
So, the Blaschke factor is just a particular case for $\theta=0$ and all other possible automorphisms of $\mathbb{D}$ are constructed by multiplying the Blaschke factor with some $e^{i\theta}$ and these are the only ones?
Jun
17
asked Automorphisms in unit disk
Jun
17
asked Harmonic Function which cannot be described as real part of a holomorphic function
Jun
17
comment Antiderivative simply connected region
$f$ is analytic on a set $\Omega \subseteq \mathbb{C}$, if it is complex differentiable in every point in $\Omega$.