Question

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

score 311 · Answer 1 · 2014-09-04 21:46:41

311

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

Published on 04 Sep 2014 - 21:46

score 1.2k · Answer 2 · 2014-09-08 17:13:26

1.2k

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

Published on 08 Sep 2014 - 17:13

score 117 · Answer 3 · 2014-09-09 00:02:44

117

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

Published on 09 Sep 2014 - 0:02

score 6.1k · Answer 4 · 2014-09-09 03:33:17

6.1k

Views

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

Published on 09 Sep 2014 - 3:33

score 501 · Answer 5 · 2026-03-25 10:58:47

501

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

Published on 25 Mar 2026 - 10:58

score 192 · Answer 6 · 2014-09-19 11:22:51

192

Views

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

Published on 19 Sep 2014 - 11:22

score 293 · Answer 7 · 2014-09-20 22:45:01

293

Views

Maximum Value - Analytic function

Published on 20 Sep 2014 - 22:45

score 170 · Answer 8 · 2014-09-24 19:00:11

170

Views

Prove that f is one-to-one on D

Published on 24 Sep 2014 - 19:00

score 2.4k · Answer 9 · 2014-09-26 16:10:28

2.4k

Views

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

Published on 26 Sep 2014 - 16:10

score 1.1k · Answer 10 · 2014-10-05 06:01:42

1.1k

Views

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

Published on 05 Oct 2014 - 6:01

score 38 · Answer 11 · 2014-10-06 08:40:47

38

Views

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

Published on 06 Oct 2014 - 8:40

score 130 · Answer 12 · 2014-10-06 21:13:06

130

Views

Prove function is complex analytic

Published on 06 Oct 2014 - 21:13

score 669 · Answer 13 · 2014-10-11 11:38:04

669

Views

CR Equations using Polar Form.

Published on 11 Oct 2014 - 11:38

score 59 · Answer 14 · 2014-10-20 20:38:05

59

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 20 Oct 2014 - 20:38

score 56 · Answer 15 · 2014-10-21 10:01:02

56

Views

Extend the domain of a real analytic function

Published on 21 Oct 2014 - 10:01

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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