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 Jun 18 accepted How to determine the type of singularities Jun 17 accepted Implication injective holomorphic function on the zeroes of derivative Jun 17 accepted Implication Laurent series to polynomial 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?