Question

What can be said about the Hilber transform of an entire function?

score 35 · Answer 1 · 2017-10-01 20:45:51

35

Views

What can be said about the Hilber transform of an entire function?

Published on 01 Oct 2017 - 20:45

score 440 · Answer 2 · 2017-10-02 12:59:41

440

Views

Derivative of a complex function using difference quotient

Published on 02 Oct 2017 - 12:59

score 107 · Answer 3 · 2017-10-04 11:45:48

107

Views

Is the function $V (z)=\int_{ \mathbb {T} }\frac {e^{it}+z}{e^{it}-z}d\mu (e^{it})$ analytic on the unit disc $|z|<1$?

Published on 04 Oct 2017 - 11:45

score 264 · Answer 4 · 2017-10-06 19:49:08

264

Views

Find a harmonic conjugate $v$ so that $f=u+iv$ is holomorphic

Published on 06 Oct 2017 - 19:49

score 37 · Answer 5 · 2017-10-08 16:31:50

37

Views

bound of the function

Published on 08 Oct 2017 - 16:31

score 194 · Answer 6 · 2017-10-10 09:41:29

194

Views

Change of variable in integral for $f(z,\bar{z})$

Published on 10 Oct 2017 - 9:41

score 837 · Answer 7 · 2017-10-11 22:22:06

837

Views

Prove the existence of an analytic function

Published on 11 Oct 2017 - 22:22

score 252 · Answer 8 · 2026-03-25 22:09:48

252

Views

If a function belongs to $H^p$

Published on 25 Mar 2026 - 22:09

score 50 · Answer 9 · 2017-10-13 19:06:09

50

Views

how to find this analytic function satisfying such condition

Published on 13 Oct 2017 - 19:06

score 256 · Answer 10 · 2017-10-16 20:11:58

256

Views

prove that $f_n$ a sequence of holomorphic functions is a Normal family

Published on 16 Oct 2017 - 20:11

score 148 · Answer 11 · 2017-10-18 13:24:51

148

Views

Show that linear combinations and multiplications of holomorphic functions define a ring structure.

Published on 18 Oct 2017 - 13:24

score 1.2k · Answer 12 · 2017-10-18 17:57:45

1.2k

Views

Exercise on analytic functions on the unit disk

Published on 18 Oct 2017 - 17:57

score 245 · Answer 13 · 2017-10-19 04:17:16

245

Views

Laurent series that does not define holomorphic function: $\sum_{n=-\infty }^{\infty} (z+3i)^n/2^n$

Published on 19 Oct 2017 - 4:17

score 53 · Answer 14 · 2017-10-24 02:38:42

53

Views

The set $B=${$f \in C(D): f(z) = \sum^{\infty}_{n=0}a_n z^n$ , with $(a_n) \in l^1(\mathbb{N})$} is "spectrally invariant"

Published on 24 Oct 2017 - 2:38

score 664 · Answer 15 · 2017-10-25 14:45:09

664

Views

Where is $f(z) = z^z$ holomorphic?

Published on 25 Oct 2017 - 14:45

List Question

What can be said about the Hilber transform of an entire function?

Derivative of a complex function using difference quotient

Is the function $V (z)=\int_{ \mathbb {T} }\frac {e^{it}+z}{e^{it}-z}d\mu (e^{it})$ analytic on the unit disc $|z|<1$?

Find a harmonic conjugate $v$ so that $f=u+iv$ is holomorphic

bound of the function

Change of variable in integral for $f(z,\bar{z})$

Prove the existence of an analytic function

If a function belongs to $H^p$

how to find this analytic function satisfying such condition

prove that $f_n$ a sequence of holomorphic functions is a Normal family

Show that linear combinations and multiplications of holomorphic functions define a ring structure.

Exercise on analytic functions on the unit disk

Laurent series that does not define holomorphic function: $\sum_{n=-\infty }^{\infty} (z+3i)^n/2^n$

The set $B=${$f \in C(D): f(z) = \sum^{\infty}_{n=0}a_n z^n$ , with $(a_n) \in l^1(\mathbb{N})$} is "spectrally invariant"

Where is $f(z) = z^z$ holomorphic?

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