Question

order of zero of modular form from it's expansion at infinity

score 464 · Answer 1 · 2026-05-07 12:49:13

464

Views

order of zero of modular form from it's expansion at infinity

Published on 07 May 2026 - 12:49

score 56 · Answer 2 · 2026-05-05 07:54:54

56

Views

Holomorphic domain of $ \Phi\left(z\right)=\ln\left(\frac{z-a}{z+a}\right)$

Published on 05 May 2026 - 7:54

score 1.2k · Answer 3 · 2026-05-02 18:20:18

1.2k

Views

Complex Analysis - Harmonic function as real part of holomorphic function

Published on 02 May 2026 - 18:20

score 84 · Answer 4 · 2026-05-02 23:53:35

84

Views

Impossibility of conformally mapping graph of $x\sin(1/x)$ to $\mathbb{R}$

Published on 02 May 2026 - 23:53

score 131 · Answer 5 · 2026-05-02 21:49:11

131

Views

Product of holomorphically convex spaces is again holomorphically convex

Published on 02 May 2026 - 21:49

score 259 · Answer 6 · 2026-05-04 08:44:51

259

Views

Prove that $X$ is a Riemann surface using basic definitions

Published on 04 May 2026 - 8:44

score 46 · Answer 7 · 2026-05-03 07:24:28

46

Views

$B=\{t\in[-T,T]:|f(\sigma+it)|>\ell\}$, does it hold that $|B|>\epsilon 2T$

Published on 03 May 2026 - 7:24

score 320 · Answer 8 · 2026-05-01 06:36:24

320

Views

Show that $|f(0)| \leq \frac{1}{4}$ for every holomorphic function $f:\Bbb D \to \Bbb D$ such that $|f(\frac{1}{2})|+|f(-\frac{1}{2})|=0$

Published on 01 May 2026 - 6:36

score 505 · Answer 9 · 2026-04-29 12:25:56

505

Views

Proving $0$ is a removable singularity

Published on 29 Apr 2026 - 12:25

score 1k · Answer 10 · 2026-04-29 12:27:34

1k

Views

Holomorphic function satisfying $f^{-1}(\Bbb R)=\Bbb R$ is of the form $f(z)=az+b$

Published on 29 Apr 2026 - 12:27

score 607 · Answer 11 · 2026-05-02 23:53:24

607

Views

Is there an entire function satisfying $|f(z)|=|z|+1$ for every $|z|\geq2017$?

Published on 02 May 2026 - 23:53

score 185 · Answer 12 · 2026-04-23 03:28:16

185

Views

Show $\overline{f(\overline{z})}$ holomorphic

Published on 23 Apr 2026 - 3:28

score 107 · Answer 13 · 2026-04-23 11:18:32

107

Views

$\Bbb{E}(e^{\lambda X})=e^{\lambda^2/2}$ impliesthat $\Bbb{E}(e^{zX})$ is holomorphic and well-defined.

Published on 23 Apr 2026 - 11:18

score 789 · Answer 14 · 2026-04-29 12:54:38

789

Views

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

Published on 29 Apr 2026 - 12:54

score 500 · Answer 15 · 2026-05-06 13:59:35

500

Views

Holomorphic function mapping unit disc to the "pacman" $U = \{|z|<1,\ \mathrm{Arg}z \notin [-\frac{\pi}{4},\frac{\pi}{4}]\}$

Published on 06 May 2026 - 13:59

List Question

order of zero of modular form from it's expansion at infinity

Holomorphic domain of $ \Phi\left(z\right)=\ln\left(\frac{z-a}{z+a}\right)$

Complex Analysis - Harmonic function as real part of holomorphic function

Impossibility of conformally mapping graph of $x\sin(1/x)$ to $\mathbb{R}$

Product of holomorphically convex spaces is again holomorphically convex

Prove that $X$ is a Riemann surface using basic definitions

$B=\{t\in[-T,T]:|f(\sigma+it)|>\ell\}$, does it hold that $|B|>\epsilon 2T$

Show that $|f(0)| \leq \frac{1}{4}$ for every holomorphic function $f:\Bbb D \to \Bbb D$ such that $|f(\frac{1}{2})|+|f(-\frac{1}{2})|=0$

Proving $0$ is a removable singularity

Holomorphic function satisfying $f^{-1}(\Bbb R)=\Bbb R$ is of the form $f(z)=az+b$

Is there an entire function satisfying $|f(z)|=|z|+1$ for every $|z|\geq2017$?

Show $\overline{f(\overline{z})}$ holomorphic

$\Bbb{E}(e^{\lambda X})=e^{\lambda^2/2}$ impliesthat $\Bbb{E}(e^{zX})$ is holomorphic and well-defined.

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

Holomorphic function mapping unit disc to the "pacman" $U = \{|z|<1,\ \mathrm{Arg}z \notin [-\frac{\pi}{4},\frac{\pi}{4}]\}$

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