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Inverse of a univalent analytic function

score 229 · Answer 1 · 2026-04-14 09:27:10

229

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Inverse of a univalent analytic function

Published on 14 Apr 2026 - 9:27

score 206 · Answer 2 · 2026-03-25 10:20:23

206

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How is extension by analytic continuation done?

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score 93 · Answer 3 · 2026-04-16 14:43:49

Complex analysis: Show that there is no analytic function on $B(0,1)$ satisfying $\sqrt{|z|}\leq |f(z)| \leq \sqrt[3]{|z|}$ for all $z\in B(0,1)$

score 72 · Answer 4 · 2026-04-09 11:06:50

72

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Complex Numbers expression

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score 107 · Answer 5 · 2026-04-16 12:25:22

107

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Computing $\beta(\frac{1}{m},\frac{1}{m})$

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score 285 · Answer 6 · 2026-04-16 14:55:39

285

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Demonstrate that $f^{-1}(w) =\frac {1}{2 \pi i} \int\limits_\gamma \frac {zf^{\prime}(z)dz}{f(z)-w}$

Published on 16 Apr 2026 - 14:55

score 183 · Answer 7 · 2026-04-12 23:09:21

183

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Show that the holomorphic function $u + iv$ must be constant if $u = h \circ v$. Problem from Remmert.

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score 133 · Answer 8 · 2026-03-28 08:51:45

133

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On Shilov Boundary of Bounded Holomorphic Functions

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score 365 · Answer 9 · 2026-04-10 21:15:15

365

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score 673 · Answer 10 · 2026-04-24 16:24:34

673

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Solution of ${x}^{2} \dfrac {d^{2}y}{dx^{2}}+ x \dfrac{dy}{dx}+y=0 $

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score 244 · Answer 11 · 2026-04-17 11:38:56

244

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Is this sufficient proof to show that $f^2$ has an essential singularity at $z_0$?

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score 702 · Answer 12 · 2026-04-13 19:41:34

702

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Mittag Leffler partial fraction expansion for $\frac{\sin(z)}{\sin(\pi z)}$

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score 120 · Answer 13 · 2026-04-12 16:34:16

120

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How to prove f has degree at most n, with the caveat that |z|>R

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score 85 · Answer 14 · 2026-04-10 22:34:49

85

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Developing the theory of analytic functions without integration

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score 36 · Answer 15 · 2026-04-10 20:52:48

36

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How much of a function to consider , when classifying its singularities?

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List Question

Inverse of a univalent analytic function

How is extension by analytic continuation done?

Complex analysis: Show that there is no analytic function on $B(0,1)$ satisfying $\sqrt{|z|}\leq |f(z)| \leq \sqrt[3]{|z|}$ for all $z\in B(0,1)$

Complex Numbers expression

Computing $\beta(\frac{1}{m},\frac{1}{m})$

Demonstrate that $f^{-1}(w) =\frac {1}{2 \pi i} \int\limits_\gamma \frac {zf^{\prime}(z)dz}{f(z)-w}$

Show that the holomorphic function $u + iv$ must be constant if $u = h \circ v$. Problem from Remmert.

On Shilov Boundary of Bounded Holomorphic Functions

How to compute Laurent series?

Solution of ${x}^{2} \dfrac {d^{2}y}{dx^{2}}+ x \dfrac{dy}{dx}+y=0 $

Is this sufficient proof to show that $f^2$ has an essential singularity at $z_0$?

Mittag Leffler partial fraction expansion for $\frac{\sin(z)}{\sin(\pi z)}$

How to prove f has degree at most n, with the caveat that |z|>R

Developing the theory of analytic functions without integration

How much of a function to consider , when classifying its singularities?

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