Question

continuous extension of Banach space-valued analytic function

score 81 · Answer 1 · 2016-09-27 15:40:38

81

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continuous extension of Banach space-valued analytic function

Published on 27 Sep 2016 - 15:40

score 850 · Answer 2 · 2016-09-28 00:38:49

850

Views

There exists no function $f$ such that $f$ is analytic in $\mathbb C$ and $f(1/n) = |1/n^3|$ for any $n \in \mathbb Z\backslash \{0\}$.

Published on 28 Sep 2016 - 0:38

score 129 · Answer 3 · 2016-10-17 13:57:00

129

Views

For log z = ln|z| + i θ where pi/4 < θ < 9pi/4 find the domain of analyticity (in terms of angle theta) in complex plane.

Published on 17 Oct 2016 - 13:57

score 265 · Answer 4 · 2016-10-19 20:45:34

265

Views

Error behavior for numerical integration in the case of nonanalytic functions.

Published on 19 Oct 2016 - 20:45

score 1.1k · Answer 5 · 2026-03-25 06:48:09

1.1k

Views

Is there a relationship between germs and Taylor coefficients?

Published on 25 Mar 2026 - 6:48

score 279 · Answer 6 · 2016-11-03 23:14:55

279

Views

Find the domain of analyticity of $f$

Published on 03 Nov 2016 - 23:14

score 11.6k · Answer 7 · 2016-11-06 22:39:30

11.6k

Views

How to prove an analytic function is analytic

Published on 06 Nov 2016 - 22:39

score 312 · Answer 8 · 2016-11-07 16:57:52

312

Views

Division by zero when putting an ODE in standard form for analyzing singular points

Published on 07 Nov 2016 - 16:57

score 199 · Answer 9 · 2016-11-09 10:33:31

Show that $g(z)$ is a function analytic on region $D$, if $f(z)$ is analytic on $D$ and $|f(z)| < 1$, where $g(z) = f(z) + 2(f(z))^2 + 3(f(z))^3+...$

score 192 · Answer 10 · 2026-03-25 22:30:03

192

Views

Peter Walker's $C^{\infty}$ conjectured nowhere analytic slog

Published on 25 Mar 2026 - 22:30

score 83 · Answer 11 · 2016-11-12 12:29:31

83

Views

What can you say about the smoothness of this function?

Published on 12 Nov 2016 - 12:29

score 84 · Answer 12 · 2016-11-18 11:10:24

84

Views

$\frac{1}{f(x)}$ analytic at 0 when $f(x)$ is a power series with positive convergence radius

Published on 18 Nov 2016 - 11:10

score 46 · Answer 13 · 2016-12-04 03:00:30

46

Views

Laurent series of a function

Published on 04 Dec 2016 - 3:00

score 358 · Answer 14 · 2016-12-10 12:24:45

358

Views

Does convergence to $f(x)$ of Taylor series centered in $x_0$ in a interval $I$ imply that $f(x)$ is analytic in all $I$?

Published on 10 Dec 2016 - 12:24

score 275 · Answer 15 · 2016-12-10 14:24:27

275

Views

Radius of convergence and analyticity

Published on 10 Dec 2016 - 14:24

List Question

continuous extension of Banach space-valued analytic function

There exists no function $f$ such that $f$ is analytic in $\mathbb C$ and $f(1/n) = |1/n^3|$ for any $n \in \mathbb Z\backslash \{0\}$.

For log z = ln|z| + i θ where pi/4 < θ < 9pi/4 find the domain of analyticity (in terms of angle theta) in complex plane.

Error behavior for numerical integration in the case of nonanalytic functions.

Is there a relationship between germs and Taylor coefficients?

Find the domain of analyticity of $f$

How to prove an analytic function is analytic

Division by zero when putting an ODE in standard form for analyzing singular points

Show that $g(z)$ is a function analytic on region $D$, if $f(z)$ is analytic on $D$ and $|f(z)| < 1$, where $g(z) = f(z) + 2(f(z))^2 + 3(f(z))^3+...$

Peter Walker's $C^{\infty}$ conjectured nowhere analytic slog

What can you say about the smoothness of this function?

$\frac{1}{f(x)}$ analytic at 0 when $f(x)$ is a power series with positive convergence radius

Laurent series of a function

Does convergence to $f(x)$ of Taylor series centered in $x_0$ in a interval $I$ imply that $f(x)$ is analytic in all $I$?

Radius of convergence and analyticity

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