Question

Confusion about Mean Value Theorem stated in a textbook

score 73 · Answer 1 · 2026-03-23 00:45:52

73

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Confusion about Mean Value Theorem stated in a textbook

Published on 23 Mar 2026 - 0:45

score 1.1k · Answer 2 · 2026-03-22 11:34:21

1.1k

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A question about real-analytic functions vanishing on an open set

Published on 22 Mar 2026 - 11:34

score 1.2k · Answer 3 · 2026-03-24 03:59:21

1.2k

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Prove $f$ is a polynomial if the $n$th derivative vanishes

Published on 24 Mar 2026 - 3:59

score 337 · Answer 4 · 2026-03-23 00:46:01

337

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Show $\not\exists$ $f\in O(\mathbb{C})$ holomorphic such that $f(z)=\overline{z}$ when $|z|=1$.

Published on 23 Mar 2026 - 0:46

score 115 · Answer 5 · 2026-03-23 00:43:00

115

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Riemann Mapping and Friends in a Vertical Strip

Published on 23 Mar 2026 - 0:43

score 183 · Answer 6 · 2026-03-24 03:49:19

183

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How to prove that a complex function is not analytic in a rectangle?

Published on 24 Mar 2026 - 3:49

score 780 · Answer 7 · 2026-03-23 01:23:50

780

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Prove or disprove that every Holomorphic function preserving unboundedness is a polynomial.

Published on 23 Mar 2026 - 1:23

score 164 · Answer 8 · 2026-03-23 00:46:25

164

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If $f'$ has a zero of order $m$ at $z_0$ then there is $g$ s.t $f(z) - f(z_0) = g(z)^{k+1}$

Published on 23 Mar 2026 - 0:46

score 72 · Answer 9 · 2026-03-24 02:58:41

72

Views

Schwarz lemma, inner circle onto inner circle

Published on 24 Mar 2026 - 2:58

score 353 · Answer 10 · 2026-03-23 01:25:16

353

Views

Existence of meromorphic root for meromorphic function

Published on 23 Mar 2026 - 1:25

score 446 · Answer 11 · 2026-03-22 22:25:51

446

Views

What does "local analytic isomorphism" mean?

Published on 22 Mar 2026 - 22:25

score 1.1k · Answer 12 · 2026-03-22 04:50:26

1.1k

Views

Why is $\frac{df}{d\bar z}=0$ necessary if $f$ is an analytic function?

Published on 22 Mar 2026 - 4:50

score 62 · Answer 13 · 2026-03-22 09:43:30

62

Views

Find the function $u_{j}(x,y)$ and $v_{j}(x,y) $ so that $w_{j}(x,y)+iv_{j}(x,y)$ and $u_{j}(x,y)+iw_{j}(x,y)$

Published on 22 Mar 2026 - 9:43

score 63 · Answer 14 · 2026-03-22 06:36:02

63

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Analytic function with $f(1-1/n)=-n$ and $f(1+1/n)=-n$

Published on 22 Mar 2026 - 6:36

score 567 · Answer 15 · 2026-03-21 23:13:58

567

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Map the outside of the parabola $y^2 = 2px$ on the disc $|w|<1$ such that $z=0$ and $z=-\frac{p}{2}$ are mapped to $w=1$ and $w=0$

Published on 21 Mar 2026 - 23:13

List Question

Confusion about Mean Value Theorem stated in a textbook

A question about real-analytic functions vanishing on an open set

Prove $f$ is a polynomial if the $n$th derivative vanishes

Show $\not\exists$ $f\in O(\mathbb{C})$ holomorphic such that $f(z)=\overline{z}$ when $|z|=1$.

Riemann Mapping and Friends in a Vertical Strip

How to prove that a complex function is not analytic in a rectangle?

Prove or disprove that every Holomorphic function preserving unboundedness is a polynomial.

If $f'$ has a zero of order $m$ at $z_0$ then there is $g$ s.t $f(z) - f(z_0) = g(z)^{k+1}$

Schwarz lemma, inner circle onto inner circle

Existence of meromorphic root for meromorphic function

What does "local analytic isomorphism" mean?

Why is $\frac{df}{d\bar z}=0$ necessary if $f$ is an analytic function?

Find the function $u_{j}(x,y)$ and $v_{j}(x,y) $ so that $w_{j}(x,y)+iv_{j}(x,y)$ and $u_{j}(x,y)+iw_{j}(x,y)$

Analytic function with $f(1-1/n)=-n$ and $f(1+1/n)=-n$

Map the outside of the parabola $y^2 = 2px$ on the disc $|w|<1$ such that $z=0$ and $z=-\frac{p}{2}$ are mapped to $w=1$ and $w=0$

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