Question

The continuity of linear functionals with respect to uniform convergence of entire functions on balls

score 160 · Answer 1 · 2026-05-04 08:49:16

160

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The continuity of linear functionals with respect to uniform convergence of entire functions on balls

Published on 04 May 2026 - 8:49

score 34 · Answer 2 · 2026-04-14 12:17:50

34

Views

Proving that a function is analytical without knowing $f$ holomorphic $\Leftrightarrow$ $f$ analytic

Published on 14 Apr 2026 - 12:17

score 71 · Answer 3 · 2026-04-13 20:54:36

71

Views

If $f(z) = u(z)+iv(z)$ is analytic, are both of $u(z)$ and $v(z)$ analytic?

Published on 13 Apr 2026 - 20:54

score 236 · Answer 4 · 2026-04-14 10:47:22

236

Views

extending convergence radius using one boundary point

Published on 14 Apr 2026 - 10:47

score 63 · Answer 5 · 2026-03-25 09:05:55

63

Views

Is there an analytically continued function of $z^p$ at zero?

Published on 25 Mar 2026 - 9:05

score 125 · Answer 6 · 2026-03-25 02:47:22

125

Views

Why are these two functions different for negative numbers?

Published on 25 Mar 2026 - 2:47

score 157 · Answer 7 · 2026-04-11 14:38:37

157

Views

A Question concerning the definition of Analytic functions

Published on 11 Apr 2026 - 14:38

score 356 · Answer 8 · 2026-04-14 18:41:03

356

Views

Why are all analytic functions equivalent to their Taylor series?

Published on 14 Apr 2026 - 18:41

score 77 · Answer 9 · 2026-04-11 05:10:28

77

Views

Does there exist complex function which is analytic in all $\Bbb{C}$ except for 5 points?

Published on 11 Apr 2026 - 5:10

score 79 · Answer 10 · 2026-04-14 05:41:32

79

Views

Condition implying that the argmax of a function is piecewise continuous.

Published on 14 Apr 2026 - 5:41

score 4.2k · Answer 11 · 2026-04-16 15:09:44

4.2k

Views

Finding region where $f(z)=e^{-x}\cos(y) -ie^{-x}\sin(y)$ is analytic

Published on 16 Apr 2026 - 15:09

score 69 · Answer 12 · 2026-04-17 07:03:58

69

Views

Analysis of $\mathbb C^{n\times n} \to \mathbb C^{n\times n}$ functions and integrals of them.

Published on 17 Apr 2026 - 7:03

score 532 · Answer 13 · 2026-04-17 09:25:10

532

Views

Infinite sum of analytic functions becomes non-analytic

Published on 17 Apr 2026 - 9:25

score 123 · Answer 14 · 2026-04-11 12:02:19

123

Views

Analytic function. Bounding number of zeros with the number of critical points

Published on 11 Apr 2026 - 12:02

score 111 · Answer 15 · 2026-03-24 22:08:14

111

Views

Extensions of real analytic functions with multiple variables

Published on 24 Mar 2026 - 22:08

List Question

The continuity of linear functionals with respect to uniform convergence of entire functions on balls

Proving that a function is analytical without knowing $f$ holomorphic $\Leftrightarrow$ $f$ analytic

If $f(z) = u(z)+iv(z)$ is analytic, are both of $u(z)$ and $v(z)$ analytic?

extending convergence radius using one boundary point

Is there an analytically continued function of $z^p$ at zero?

Why are these two functions different for negative numbers?

A Question concerning the definition of Analytic functions

Why are all analytic functions equivalent to their Taylor series?

Does there exist complex function which is analytic in all $\Bbb{C}$ except for 5 points?

Condition implying that the argmax of a function is piecewise continuous.

Finding region where $f(z)=e^{-x}\cos(y) -ie^{-x}\sin(y)$ is analytic

Analysis of $\mathbb C^{n\times n} \to \mathbb C^{n\times n}$ functions and integrals of them.

Infinite sum of analytic functions becomes non-analytic

Analytic function. Bounding number of zeros with the number of critical points

Extensions of real analytic functions with multiple variables

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