Question

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

score 81 · Answer 1 · 2026-04-13 13:10:15

81

Views

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

Published on 13 Apr 2026 - 13:10

score 518 · Answer 2 · 2026-04-16 08:21:13

518

Views

Extension of real or imaginary part of entire function to complex valued functions

Published on 16 Apr 2026 - 8:21

score 1.7k · Answer 3 · 2026-04-12 12:31:15

1.7k

Views

Prove that an entire function with $Imf\le (Ref)^2$is constant

Published on 12 Apr 2026 - 12:31

score 59 · Answer 4 · 2026-04-10 22:54:23

59

Views

Is it possible for a vanishing entire function to have constant modulus "for a while"?

Published on 10 Apr 2026 - 22:54

score 63 · Answer 5 · 2026-04-10 07:18:36

63

Views

Order of Entire function, Shifted

Published on 10 Apr 2026 - 7:18

score 337 · Answer 6 · 2026-04-09 22:25:28

337

Views

Measure of set where holomorphic function is large

Published on 09 Apr 2026 - 22:25

score 273 · Answer 7 · 2026-04-15 22:23:47

273

Views

If $f$ is entire and $f(z)/z$ is bounded, then $z = 0$ is a removable singularity of $f(z)/z$.

Published on 15 Apr 2026 - 22:23

score 114 · Answer 8 · 2026-04-10 19:12:44

114

Views

Is there a characterization of entire functions with image $\Bbb C \setminus \{0\}$?

Published on 10 Apr 2026 - 19:12

score 627 · Answer 9 · 2026-04-09 14:23:14

627

Views

Proof of Casorati-Weierstrass

Published on 09 Apr 2026 - 14:23

score 416 · Answer 10 · 2026-04-15 03:59:02

416

Views

If $f$ is entire and $\left|f\left(\frac{1}{\ln{(n+2)}}\right)\right|<\frac{1}{n}$ for every positive integer $n$ then $f=0$

Published on 15 Apr 2026 - 3:59

score 83 · Answer 11 · 2026-04-13 09:30:52

83

Views

Entire extension of $f(x+y)=g(x)g(y)-h(x)h(y)$

Published on 13 Apr 2026 - 9:30

score 114 · Answer 12 · 2026-04-30 13:50:48

114

Views

Is $f(z)$ entire?

Published on 30 Apr 2026 - 13:50

score 530 · Answer 13 · 2026-04-10 10:37:45

530

Views

Entire function problem: translation

Published on 10 Apr 2026 - 10:37

score 487 · Answer 14 · 2026-04-11 18:31:04

487

Views

Non-constant entire functions

Published on 11 Apr 2026 - 18:31

score 614 · Answer 15 · 2026-04-14 02:24:36

614

Views

Prove if $k^\text{th}$ derivative of an entire function $f$ is polynomial, then $f$ itself is polynomial. Where's my mistake?

Published on 14 Apr 2026 - 2:24

List Question

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

Extension of real or imaginary part of entire function to complex valued functions

Prove that an entire function with $Imf\le (Ref)^2$is constant

Is it possible for a vanishing entire function to have constant modulus "for a while"?

Order of Entire function, Shifted

Measure of set where holomorphic function is large

If $f$ is entire and $f(z)/z$ is bounded, then $z = 0$ is a removable singularity of $f(z)/z$.

Is there a characterization of entire functions with image $\Bbb C \setminus \{0\}$?

Proof of Casorati-Weierstrass

If $f$ is entire and $\left|f\left(\frac{1}{\ln{(n+2)}}\right)\right|<\frac{1}{n}$ for every positive integer $n$ then $f=0$

Entire extension of $f(x+y)=g(x)g(y)-h(x)h(y)$

Is $f(z)$ entire?

Entire function problem: translation

Non-constant entire functions

Prove if $k^\text{th}$ derivative of an entire function $f$ is polynomial, then $f$ itself is polynomial. Where's my mistake?

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