Question

Entire function such that $f(z)=f(z+1)$ for all $z$, then f is constant?

score 1.7k · Answer 1 · 2019-06-15 15:34:19

1.7k

Views

Entire function such that $f(z)=f(z+1)$ for all $z$, then f is constant?

Published on 15 Jun 2019 - 15:34

score 115 · Answer 2 · 2019-06-17 15:16:40

115

Views

If $f$ is an entire function, there exists an unbounded sequence $z_n$ such that $f(z_n)$ converges

Published on 17 Jun 2019 - 15:16

score 44 · Answer 3 · 2019-06-17 16:52:07

44

Views

A problem on Complex function

Published on 17 Jun 2019 - 16:52

score 66 · Answer 4 · 2019-06-17 17:34:15

66

Views

$F=\{ f: \mathbb{C} \to \mathbb{C}| f$ is an entire function,$ |f'(z)| \leq |f(z)|$ for all $z \in \mathbb{C}\}$

Published on 17 Jun 2019 - 17:34

score 418 · Answer 5 · 2019-06-21 00:57:36

418

Views

f is entire function such that $f(z)=-f(z+1)$ and $\mid f(z)\mid \leq e^{\pi |Im(z)|}$ then $f=c\sin (\pi z)$

Published on 21 Jun 2019 - 0:57

score 111 · Answer 6 · 2026-03-25 18:04:38

111

Views

Entire function so that $f\circ f$ don't have fixed points

Published on 25 Mar 2026 - 18:04

score 1.1k · Answer 7 · 2019-07-06 09:04:01

1.1k

Views

Why is $\log(f(z))$ entire if $f(z)\ne0$ and $f$ is entire?

Published on 06 Jul 2019 - 9:04

score 50 · Answer 8 · 2026-02-22 23:29:51

50

Views

Find the form of $f:\mathbb{C}\to\mathbb{C}$ which is entire, conformal and $\lim_{z\to\infty} f(z)=\infty$

Published on 22 Feb 2026 - 23:29

score 92 · Answer 9 · 2026-03-25 01:31:23

92

Views

When can a complex function have non isolated singularities?

Published on 25 Mar 2026 - 1:31

score 826 · Answer 10 · 2019-07-10 19:29:42

826

Views

Let $f(z)$ be an entire function with an entire inverse. Prove that as $z$ goes to infinity, $|f(z)|$ goes to infinity.

Published on 10 Jul 2019 - 19:29

score 522 · Answer 11 · 2019-07-11 11:21:41

522

Views

$f$ holomorphic in $\mathbb{C}\setminus\{0\}$ and $|f(z)|\le \sqrt{|z|} + \frac{1}{\sqrt{|z|}}$ then $f$ is constant

Published on 11 Jul 2019 - 11:21

score 1.6k · Answer 12 · 2019-07-12 07:57:49

1.6k

Views

On entire functions of finite order

Published on 12 Jul 2019 - 7:57

score 75 · Answer 13 · 2019-07-14 22:08:04

75

Views

Check the Entire Property of Three Complex Functions

Published on 14 Jul 2019 - 22:08

score 379 · Answer 14 · 2019-07-15 06:12:57

379

Views

Is there a known function defined by the sum of $x^{2^n}$?

Published on 15 Jul 2019 - 6:12

score 373 · Answer 15 · 2019-07-24 04:39:33

373

Views

Entire function, periodic on real line implies periodic on $\mathbb{C}$?

Published on 24 Jul 2019 - 4:39

List Question

Entire function such that $f(z)=f(z+1)$ for all $z$, then f is constant?

If $f$ is an entire function, there exists an unbounded sequence $z_n$ such that $f(z_n)$ converges

A problem on Complex function

$F=\{ f: \mathbb{C} \to \mathbb{C}| f$ is an entire function,$ |f'(z)| \leq |f(z)|$ for all $z \in \mathbb{C}\}$

f is entire function such that $f(z)=-f(z+1)$ and $\mid f(z)\mid \leq e^{\pi |Im(z)|}$ then $f=c\sin (\pi z)$

Entire function so that $f\circ f$ don't have fixed points

Why is $\log(f(z))$ entire if $f(z)\ne0$ and $f$ is entire?

Find the form of $f:\mathbb{C}\to\mathbb{C}$ which is entire, conformal and $\lim_{z\to\infty} f(z)=\infty$

When can a complex function have non isolated singularities?

Let $f(z)$ be an entire function with an entire inverse. Prove that as $z$ goes to infinity, $|f(z)|$ goes to infinity.

$f$ holomorphic in $\mathbb{C}\setminus\{0\}$ and $|f(z)|\le \sqrt{|z|} + \frac{1}{\sqrt{|z|}}$ then $f$ is constant

On entire functions of finite order

Check the Entire Property of Three Complex Functions

Is there a known function defined by the sum of $x^{2^n}$?

Entire function, periodic on real line implies periodic on $\mathbb{C}$?

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