Question

Description of complete analytic function for $\sqrt{4z-\sqrt[3]{z}}$.

score 73 · Answer 1 · 2026-03-28 00:06:02

73

Views

Description of complete analytic function for $\sqrt{4z-\sqrt[3]{z}}$.

Published on 28 Mar 2026 - 0:06

score 149 · Answer 2 · 2022-05-23 14:57:05

149

Views

Understanding Real analyticity

Published on 23 May 2022 - 14:57

score 37 · Answer 3 · 2022-06-05 09:39:00

37

Views

Is piece-wise defined function with arccos and arcosh analytic at 1?

Published on 05 Jun 2022 - 9:39

score 64 · Answer 4 · 2022-06-24 08:10:30

64

Views

Fourier transform $\hat{f}(\gamma)$ analytic in whole complex plane if $f\in L^2(\mathbb{R}^1)$ is compact?

Published on 24 Jun 2022 - 8:10

score 80 · Answer 5 · 2022-07-04 12:36:19

80

Views

Why is the image of a compact complex manifold analytic?

Published on 04 Jul 2022 - 12:36

score 84 · Answer 6 · 2022-07-06 05:27:24

84

Views

Global version of Cauchy-Kowalevskaya theorem

Published on 06 Jul 2022 - 5:27

score 148 · Answer 7 · 2026-03-27 05:04:03

148

Views

What does it mean when the second Wirtinger derivative is sometimes zero?

Published on 27 Mar 2026 - 5:04

score 547 · Answer 8 · 2026-03-28 03:28:56

547

Views

Suppose $f$ is holomorphic on $\mathbb{C}\setminus\{0\}$ and $f(n)=(-1)^n$ for each positive integer $n$. Prove $\inf_{z\neq 0} |f(z)|=0$.

Published on 28 Mar 2026 - 3:28

score 588 · Answer 9 · 2022-09-08 19:57:53

588

Views

Existence of Taylor series and Analyticity

Published on 08 Sep 2022 - 19:57

score 46 · Answer 10 · 2022-09-10 04:18:26

46

Views

To prove a function is analytic on the upper half plane.

Published on 10 Sep 2022 - 4:18

score 89 · Answer 11 · 2022-09-12 13:03:35

89

Views

If $f$ is analytic in $\Omega\subset\mathbb{C}$, then why is $f$ bounded in a neighbourhood of $z_0 \in \Omega$?

Published on 12 Sep 2022 - 13:03

score 108 · Answer 12 · 2022-10-07 16:42:30

108

Views

Is there a surjective $C^{\omega}$ map from the 2-sphere to the 2-torus?

Published on 07 Oct 2022 - 16:42

score 101 · Answer 13 · 2022-10-10 15:52:53

101

Views

Does the zero locus of a real analytic function have a smooth point?

Published on 10 Oct 2022 - 15:52

score 121 · Answer 14 · 2022-10-11 12:37:27

121

Views

Why is $f(z) = \frac{1}{1-|z|^2}$ analytic?

Published on 11 Oct 2022 - 12:37

score 96 · Answer 15 · 2022-11-08 04:33:48

96

Views

If $f$ is analytic defined on $D:=\{z:|z|<1\}$ and $|f(z)|\le 1$, can $f$ be extended continuously to $\overline D$?

Published on 08 Nov 2022 - 4:33

List Question

Description of complete analytic function for $\sqrt{4z-\sqrt[3]{z}}$.

Understanding Real analyticity

Is piece-wise defined function with arccos and arcosh analytic at 1?

Fourier transform $\hat{f}(\gamma)$ analytic in whole complex plane if $f\in L^2(\mathbb{R}^1)$ is compact?

Why is the image of a compact complex manifold analytic?

Global version of Cauchy-Kowalevskaya theorem

What does it mean when the second Wirtinger derivative is sometimes zero?

Suppose $f$ is holomorphic on $\mathbb{C}\setminus\{0\}$ and $f(n)=(-1)^n$ for each positive integer $n$. Prove $\inf_{z\neq 0} |f(z)|=0$.

Existence of Taylor series and Analyticity

To prove a function is analytic on the upper half plane.

If $f$ is analytic in $\Omega\subset\mathbb{C}$, then why is $f$ bounded in a neighbourhood of $z_0 \in \Omega$?

Is there a surjective $C^{\omega}$ map from the 2-sphere to the 2-torus?

Does the zero locus of a real analytic function have a smooth point?

Why is $f(z) = \frac{1}{1-|z|^2}$ analytic?

If $f$ is analytic defined on $D:=\{z:|z|<1\}$ and $|f(z)|\le 1$, can $f$ be extended continuously to $\overline D$?

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