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22h
comment Partial fractions for $\pi \cot(\pi z)$
This is an amazing argument. I have no idea how you thought of this.
22h
comment Analysis question limit sin function as n goes to infinity
Can you please expand on why it is necessary for $\sin$ to be Lipshitz?
1d
comment Partial fractions for $\pi \cot(\pi z)$
How do I get $2 f(x_0) = 2 f(x_k)$? If I had that, I could immediately conclude $f(x_0) = f(x_k)$ like you wanted.
1d
accepted When functional equations determine a unique global analytic function?
2d
comment Partial fractions for $\pi \cot(\pi z)$
I'm waiting patiently to hear about Cauchy's method!
2d
comment When functional equations determine a unique global analytic function?
But maybe there is a uniqueness theorem for simple functional relations? Like maybe if the function can't be "factored"
2d
revised Partial fractions for $\pi \cot(\pi z)$
added 28 characters in body
2d
comment Partial fractions for $\pi \cot(\pi z)$
Yes that is exactly the problem I faced. But sometimes when I post a "hard" problem on stackexchange someone immediately posts a clever answer. I was hoping for that again :)
2d
revised Partial fractions for $\pi \cot(\pi z)$
added 2 characters in body
2d
comment Partial fractions for $\pi \cot(\pi z)$
Yes I have already seen it done that way, so I'm wondering how I could do it this way. I'm just wondering why is it so difficult for me to show that the sum is uniformly bounded in the imaginary part of $z$.
2d
comment When functional equations determine a unique global analytic function?
Oh of course, thanks.
2d
asked Partial fractions for $\pi \cot(\pi z)$
2d
comment When functional equations determine a unique global analytic function?
Do you have a reference for that theorem? It seems like a version of the implicit function theorem.
Jul
22
awarded  Notable Question
Jul
21
accepted The proof of the Area Theorem for Conformal Maps
Jul
21
comment The proof of the Area Theorem for Conformal Maps
Unfortunately we were asked to prove this theorem in a written exam!
Jul
21
comment The proof of the Area Theorem for Conformal Maps
Oh I forgot about this trick! Thanks!
Jul
21
comment The proof of the Area Theorem for Conformal Maps
Sorry to answer my own question, I just stumbled on a more general version of Abel's theorem on Wikipedia
Jul
21
answered The proof of the Area Theorem for Conformal Maps
Jul
20
asked The proof of the Area Theorem for Conformal Maps