List questions from holomorphic-functions

Published on 10 May 2026 - 18:59

49

Views

Differentiating biholomorphic functions gives isomorphism $Aut_{z_0}(U) \cong S^1$

Published on 11 May 2026 - 1:47

98

Views

Existence of biholomorphic function for two fixed points with $f(z_1) = z_2$

Published on 11 May 2026 - 0:47

38

Views

Biholomorphic map $f: \Bbb C \rightarrow \Bbb C$ with $f(z_1) = z_2$

Published on 16 Apr 2026 - 7:34

65

Views

$\exists \enspace c \in \mathbb{C} : f(z) = cg(z)$

Published on 13 Apr 2026 - 20:57

343

Views

on several complex variables on a ball

Published on 10 May 2026 - 17:58

332

Views

Definition of holomorphic $\mathbb{C}^{\ast}$-action on a complex manifold

Published on 10 May 2026 - 14:55

393

Views

$f: \mathbb{D} \to \mathbb{D}$ holomorphic, $f(\frac{1}{2}) + f(-\frac{1}{2}) = 0$. Prove $|f(0)| \leq \frac{1}{4}$

Published on 17 Apr 2026 - 1:27

51

Views

Holomorphic functions with values in $L^2(X)$ vs. pointwise holomorphy.

Published on 15 Apr 2026 - 10:32

60

Views

Weaker hypothesis for the identity theorem for analytic functions

Published on 11 May 2026 - 0:17

81

Views

Entire functions with controlled growth in an angular region and bounded elsewhere

Published on 13 Apr 2026 - 13:10

138

Views

Show that $g$ is continuous

Published on 17 Apr 2026 - 12:27

767

Views

Is $z=0$ a removable singularity of $f(z)=z^{1/2}$?

Published on 16 Apr 2026 - 11:11

441

Views

Separate continuity and analyticity in one variable implies joint continuity?

Published on 10 May 2026 - 15:07

174

Views

Maximum of sum of the moduli in a domain $D$

Published on 16 Apr 2026 - 6:42

List Question

Finding Green's function for intersection of two circles

Differentiating biholomorphic functions gives isomorphism $Aut_{z_0}(U) \cong S^1$

Existence of biholomorphic function for two fixed points with $f(z_1) = z_2$

Biholomorphic map $f: \Bbb C \rightarrow \Bbb C$ with $f(z_1) = z_2$

$\exists \enspace c \in \mathbb{C} : f(z) = cg(z)$

on several complex variables on a ball

Definition of holomorphic $\mathbb{C}^{\ast}$-action on a complex manifold

$f: \mathbb{D} \to \mathbb{D}$ holomorphic, $f(\frac{1}{2}) + f(-\frac{1}{2}) = 0$. Prove $|f(0)| \leq \frac{1}{4}$

Holomorphic functions with values in $L^2(X)$ vs. pointwise holomorphy.

Weaker hypothesis for the identity theorem for analytic functions

Entire functions with controlled growth in an angular region and bounded elsewhere

Show that $g$ is continuous

Is $z=0$ a removable singularity of $f(z)=z^{1/2}$?

Separate continuity and analyticity in one variable implies joint continuity?

Maximum of sum of the moduli in a domain $D$

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