Question

Recommendation of a good source on Lyapunov theorem in dynamical systems

score 135 · Answer 1 · 2015-12-19 21:59:01

135

Views

Recommendation of a good source on Lyapunov theorem in dynamical systems

Published on 19 Dec 2015 - 21:59

score 375 · Answer 2 · 2015-12-20 23:05:58

375

Views

Can the complex square root of $z\sin z$ be defined in a neighborhood of the origin? (I.e., including the origin)

Published on 20 Dec 2015 - 23:05

score 142 · Answer 3 · 2015-12-26 03:48:20

142

Views

Constructing a function with N zeros inside the unit disk,

Published on 26 Dec 2015 - 3:48

score 61 · Answer 4 · 2015-12-30 04:29:51

61

Views

Largest neighborhood on which $f(z)=\sum\limits_{p\text{ prime}} z^p$ defines an analytic function

Published on 30 Dec 2015 - 4:29

score 1.1k · Answer 5 · 2026-03-26 07:45:36

1.1k

Views

Branch points and Riemann surfaces (analytic continuation),

Published on 26 Mar 2026 - 7:45

score 433 · Answer 6 · 2015-12-31 15:04:34

433

Views

Greatest common divisor of real analytic functions

Published on 31 Dec 2015 - 15:04

score 49 · Answer 7 · 2016-01-04 17:48:56

49

Views

$f$ analytic on $\mathbb{C}-\left\{0\right\},$ $\text{Im}f<-1$ for $|z| = 1/2,2$; show $f(1)\neq 0$.

Published on 04 Jan 2016 - 17:48

score 157 · Answer 8 · 2016-01-04 20:25:08

157

Views

Clarification on Riemann Mapping Theorem

Published on 04 Jan 2016 - 20:25

score 1.3k · Answer 9 · 2026-03-25 19:51:34

1.3k

Views

If $f(z)$ is meromorphic but not entire, is $\exp(f(z))$ meromorphic? Could it even be entire?

Published on 25 Mar 2026 - 19:51

score 120 · Answer 10 · 2016-01-14 02:34:00

120

Views

Example of two analytic functions that differ at countably infinity many point

Published on 14 Jan 2016 - 2:34

score 144 · Answer 11 · 2016-01-21 15:14:03

144

Views

$e^{\mathrm{Re}\,z}$ not analytic in complex plane

Published on 21 Jan 2016 - 15:14

score 59 · Answer 12 · 2016-01-22 08:20:46

59

Views

Verification of example to show surjective maps of sheaves need not surject onto sections in all open sets

Published on 22 Jan 2016 - 8:20

score 948 · Answer 13 · 2016-01-26 06:53:55

948

Views

Is there an upper bound on the growth rate of analytic functions?

Published on 26 Jan 2016 - 6:53

score 126 · Answer 14 · 2016-02-02 03:18:12

126

Views

Finding an explicit entire function $g$ satisfying $g(n \log n) = n^{\pi}$

Published on 02 Feb 2016 - 3:18

score 218 · Answer 15 · 2016-02-05 15:43:48

218

Views

A function that satisfies $|f(z)-\bar z|<0.9$ is not analytic in the unit circle.

Published on 05 Feb 2016 - 15:43

List Question

Recommendation of a good source on Lyapunov theorem in dynamical systems

Can the complex square root of $z\sin z$ be defined in a neighborhood of the origin? (I.e., including the origin)

Constructing a function with N zeros inside the unit disk,

Largest neighborhood on which $f(z)=\sum\limits_{p\text{ prime}} z^p$ defines an analytic function

Branch points and Riemann surfaces (analytic continuation),

Greatest common divisor of real analytic functions

$f$ analytic on $\mathbb{C}-\left\{0\right\},$ $\text{Im}f<-1$ for $|z| = 1/2,2$; show $f(1)\neq 0$.

Clarification on Riemann Mapping Theorem

If $f(z)$ is meromorphic but not entire, is $\exp(f(z))$ meromorphic? Could it even be entire?

Example of two analytic functions that differ at countably infinity many point

$e^{\mathrm{Re}\,z}$ not analytic in complex plane

Verification of example to show surjective maps of sheaves need not surject onto sections in all open sets

Is there an upper bound on the growth rate of analytic functions?

Finding an explicit entire function $g$ satisfying $g(n \log n) = n^{\pi}$

A function that satisfies $|f(z)-\bar z|<0.9$ is not analytic in the unit circle.

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