Question

Finding all entire functions $f(z)$ for which $|f(z)|\leq M.|\sin z|$

score 224 · Answer 1 · 2026-04-15 23:35:50

224

Views

Finding all entire functions $f(z)$ for which $|f(z)|\leq M.|\sin z|$

Published on 15 Apr 2026 - 23:35

score 1.3k · Answer 2 · 2026-05-10 15:44:21

1.3k

Views

What conclusion can we make if $f$ is a holomorphic function?

Published on 10 May 2026 - 15:44

score 369 · Answer 3 · 2026-04-12 18:13:04

369

Views

Liouville's theorem non-entire function

Published on 12 Apr 2026 - 18:13

score 316 · Answer 4 · 2026-04-15 16:19:29

316

Views

Find all entire functions with real part greater than 1 and imaginary part less than -1

Published on 15 Apr 2026 - 16:19

score 262 · Answer 5 · 2026-04-16 15:52:41

262

Views

If $f(z)$ is entire function such that $|f(z)f'(z)| \leq 1$ then $f(z)$ is constant

Published on 16 Apr 2026 - 15:52

score 111 · Answer 6 · 2026-04-13 08:20:52

111

Views

Is There Entire Function $|f(z)|=|1-|z||$ For All $z\in\mathbb{C}$

Published on 13 Apr 2026 - 8:20

score 682 · Answer 7 · 2026-04-14 08:43:47

682

Views

entire function that maps real line to itself is linear

Published on 14 Apr 2026 - 8:43

score 197 · Answer 8 · 2026-04-12 12:35:27

197

Views

Analytic continuation on disconnected sets

Published on 12 Apr 2026 - 12:35

score 71 · Answer 9 · 2026-04-16 06:53:12

71

Views

existence of non constant entire function that is bounded outside an annulus

Published on 16 Apr 2026 - 6:53

score 96 · Answer 10 · 2026-04-15 11:08:53

96

Views

Existence of entire function s.t. for all $z\in\mathbb{C}$ with $|z|\geq 100:|f(z)|=|z|+1$

Published on 15 Apr 2026 - 11:08

score 56 · Answer 11 · 2026-04-14 18:36:00

56

Views

entire function that is non trivially lower bounded outside a ball is constant

Published on 14 Apr 2026 - 18:36

score 157 · Answer 12 · 2026-04-12 05:19:08

157

Views

entire function with bounded multiplicity is a polynomial

Published on 12 Apr 2026 - 5:19

score 331 · Answer 13 · 2026-04-09 14:22:13

331

Views

Problems to understand complex infinity limits.

Published on 09 Apr 2026 - 14:22

score 186 · Answer 14 · 2026-04-17 12:01:45

186

Views

$f$ and $g$ entire and $f(1/n) = g(1/n)$ $\forall n\in \Bbb{N}$, then $f=g$ in $\Bbb{C}$?

Published on 17 Apr 2026 - 12:01

score 61 · Answer 15 · 2026-04-10 18:16:01

61

Views

Is an entire function upper bounded by a polinomial a polynomial?

Published on 10 Apr 2026 - 18:16

List Question

Finding all entire functions $f(z)$ for which $|f(z)|\leq M.|\sin z|$

What conclusion can we make if $f$ is a holomorphic function?

Liouville's theorem non-entire function

Find all entire functions with real part greater than 1 and imaginary part less than -1

If $f(z)$ is entire function such that $|f(z)f'(z)| \leq 1$ then $f(z)$ is constant

Is There Entire Function $|f(z)|=|1-|z||$ For All $z\in\mathbb{C}$

entire function that maps real line to itself is linear

Analytic continuation on disconnected sets

existence of non constant entire function that is bounded outside an annulus

Existence of entire function s.t. for all $z\in\mathbb{C}$ with $|z|\geq 100:|f(z)|=|z|+1$

entire function that is non trivially lower bounded outside a ball is constant

entire function with bounded multiplicity is a polynomial

Problems to understand complex infinity limits.

$f$ and $g$ entire and $f(1/n) = g(1/n)$ $\forall n\in \Bbb{N}$, then $f=g$ in $\Bbb{C}$?

Is an entire function upper bounded by a polinomial a polynomial?

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