Question

Proof that f(z) = $z^{n}(z^*)^{m}$ is not analytic in any point

score 314 · Answer 1 · 2026-04-14 06:30:01

314

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Proof that f(z) = $z^{n}(z^*)^{m}$ is not analytic in any point

Published on 14 Apr 2026 - 6:30

score 1.2k · Answer 2 · 2026-04-15 06:40:59

1.2k

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Convergence of Taylor series about centre of open disc for analytic function.

Published on 15 Apr 2026 - 6:40

score 120 · Answer 3 · 2026-04-12 20:10:50

120

Views

Is $\sum c_n z^n$ analytic when $c_n$ is Banach-valued?

Published on 12 Apr 2026 - 20:10

score 6.1k · Answer 4 · 2026-04-12 23:24:23

6.1k

Views

Does the Taylor series of an infinitely differentiable function converge; and if yes, does it converge to the function?

Published on 12 Apr 2026 - 23:24

score 504 · Answer 5 · 2026-05-10 16:31:10

504

Views

A simple function with no tangential limits but with non-tangential limits

Published on 10 May 2026 - 16:31

score 196 · Answer 6 · 2026-05-10 22:31:54

196

Views

Minimum phase non-rational transfer function: Hilbert transform between log magnitude and phase

Published on 10 May 2026 - 22:31

score 297 · Answer 7 · 2026-05-11 03:13:13

297

Views

Maximum Value - Analytic function

Published on 11 May 2026 - 3:13

score 174 · Answer 8 · 2026-05-11 03:14:03

174

Views

Prove that f is one-to-one on D

Published on 11 May 2026 - 3:14

score 2.4k · Answer 9 · 2026-04-14 18:04:24

2.4k

Views

If $f=u+iv$ is an entire function such that $u^2\geq v^2,$ then $f$ is constant

Published on 14 Apr 2026 - 18:04

score 1.1k · Answer 10 · 2026-04-15 08:14:24

1.1k

Views

If $\,f^{7} $ is holomorphic, then $f$ is also holomorphic.

Published on 15 Apr 2026 - 8:14

score 40 · Answer 11 · 2026-04-15 03:08:16

40

Views

Can we find a real $u$ such that $f(u)=w$ ($w$ is fixed) and $f'(u)≠0$?

Published on 15 Apr 2026 - 3:08

score 133 · Answer 12 · 2026-04-12 12:30:05

133

Views

Prove function is complex analytic

Published on 12 Apr 2026 - 12:30

score 672 · Answer 13 · 2026-04-10 08:07:12

672

Views

CR Equations using Polar Form.

Published on 10 Apr 2026 - 8:07

score 62 · Answer 14 · 2026-04-13 10:21:54

62

Views

If $f$ and $f\circ h$ are nonconstant and real-analytic, with $h\in C^\infty$, does it follow that $h$ is also real-analytic?

Published on 13 Apr 2026 - 10:21

score 59 · Answer 15 · 2026-04-16 12:57:29

59

Views

Extend the domain of a real analytic function

Published on 16 Apr 2026 - 12:57

List Question

Proof that f(z) = $z^{n}(z^*)^{m}$ is not analytic in any point

Convergence of Taylor series about centre of open disc for analytic function.

Is $\sum c_n z^n$ analytic when $c_n$ is Banach-valued?

Does the Taylor series of an infinitely differentiable function converge; and if yes, does it converge to the function?

A simple function with no tangential limits but with non-tangential limits

Minimum phase non-rational transfer function: Hilbert transform between log magnitude and phase

Maximum Value - Analytic function

Prove that f is one-to-one on D

If $f=u+iv$ is an entire function such that $u^2\geq v^2,$ then $f$ is constant

If $\,f^{7} $ is holomorphic, then $f$ is also holomorphic.

Can we find a real $u$ such that $f(u)=w$ ($w$ is fixed) and $f'(u)≠0$?

Prove function is complex analytic

CR Equations using Polar Form.

If $f$ and $f\circ h$ are nonconstant and real-analytic, with $h\in C^\infty$, does it follow that $h$ is also real-analytic?

Extend the domain of a real analytic function

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