List questions from analytic-functions

Published on 25 Mar 2026 - 23:08

385

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A power series is real analytic on its radius of convergence.

Published on 10 Nov 2019 - 18:17

273

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General method for using Rouche's Theorem to find roots of equations.

Published on 13 Nov 2019 - 21:06

38

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Zero set of a convex function of an analytic function?

Published on 26 Mar 2026 - 9:49

580

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The relationship between analytic and $C^\infty$

Published on 15 Nov 2019 - 15:41

88

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Proving derivative tends to zero using 'Bloch's Theorem'.

Published on 16 Nov 2019 - 14:39

257

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Analytic Functions Coinciding on a Subset of Open Interval

Published on 19 Nov 2019 - 15:16

478

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Real analytic function in terms of taylor expansion at one point

Published on 20 Nov 2019 - 8:10

117

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Analytic function in some region containing the closed unit disc.

Published on 20 Nov 2019 - 13:51

139

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$f,g$ analytic on $I\subset \mathbb{R}$. If exist $a\in I$ such that $f=g$ and $f^{(n)}=g^{(n)}$then we have $f(x)=g(x)$ for every $x \in I$.

Published on 25 Mar 2026 - 19:32

87

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Analytic functions mapping rationals to rationals

Published on 26 Nov 2019 - 12:03

508

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Continuation of functions beyond natural boundaries

Published on 22 Mar 2026 - 12:33

58

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All analytic bijections from $B(0,1)$ to itself

Published on 25 Mar 2026 - 17:26

107

Views

Is this analytic function strictly convex?

Published on 04 Dec 2019 - 10:36

63

Views

If $|p(z)|\leq1$ for all $|z|\leq1$ then $p(z)=z^n$

Published on 09 Dec 2019 - 14:50

List Question

Identifying all values of an entire function just from values at a sequence of points

A power series is real analytic on its radius of convergence.

General method for using Rouche's Theorem to find roots of equations.

Zero set of a convex function of an analytic function?

The relationship between analytic and $C^\infty$

Proving derivative tends to zero using 'Bloch's Theorem'.

Analytic Functions Coinciding on a Subset of Open Interval

Real analytic function in terms of taylor expansion at one point

Analytic function in some region containing the closed unit disc.

$f,g$ analytic on $I\subset \mathbb{R}$. If exist $a\in I$ such that $f=g$ and $f^{(n)}=g^{(n)}$then we have $f(x)=g(x)$ for every $x \in I$.

Analytic functions mapping rationals to rationals

Continuation of functions beyond natural boundaries

All analytic bijections from $B(0,1)$ to itself

Is this analytic function strictly convex?

If $|p(z)|\leq1$ for all $|z|\leq1$ then $p(z)=z^n$

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