Question

An entire function is a polynomial iff the Taylor expansion around $0$ converges uniformly

score 1.4k · Answer 1 · 2015-04-14 03:44:35

1.4k

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An entire function is a polynomial iff the Taylor expansion around $0$ converges uniformly

Published on 14 Apr 2015 - 3:44

score 1.1k · Answer 2 · 2015-04-15 22:55:15

1.1k

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Entire functions of order 0

Published on 15 Apr 2015 - 22:55

score 8.9k · Answer 3 · 2015-04-21 04:24:15

8.9k

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Proving that a doubly-periodic entire function $f$ is constant.

Published on 21 Apr 2015 - 4:24

score 57 · Answer 4 · 2015-04-28 18:03:13

57

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Solving a logarithmic equation with variables on each side

Published on 28 Apr 2015 - 18:03

score 66 · Answer 5 · 2015-05-01 11:53:16

66

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How to show real analyticity without extending to complex plane

Published on 01 May 2015 - 11:53

score 285 · Answer 6 · 2015-05-01 14:16:29

285

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Prove that there is no function $f$ that is analytic.

Published on 01 May 2015 - 14:16

score 896 · Answer 7 · 2015-05-02 00:03:51

896

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$f=u+iv$ holomorphic, $xu+yv = (x^2+y^2)e^x \cos y$, what is $f$?

Published on 02 May 2015 - 0:03

score 103 · Answer 8 · 2015-05-03 03:28:10

103

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How to find some $C^\infty$ functions that do not satisfy the uniqueness theorem for analytic functions

Published on 03 May 2015 - 3:28

score 233 · Answer 9 · 2015-05-03 05:49:00

233

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About smooth function whose reciprocal is also smooth

Published on 03 May 2015 - 5:49

score 386 · Answer 10 · 2015-05-07 02:41:43

386

Views

Rouche Theorem and applications

Published on 07 May 2015 - 2:41

score 398 · Answer 11 · 2015-05-07 11:31:11

398

Views

Why does the ring of entire functions have no zero divisors?

Published on 07 May 2015 - 11:31

score 14.4k · Answer 12 · 2015-05-07 20:48:05

14.4k

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Find the number of roots of a polynomial using Rouche's Theorem

Published on 07 May 2015 - 20:48

score 111 · Answer 13 · 2015-05-07 22:07:56

111

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Find the residue of the function $g(z)=f(z^2)$ at a given point.

Published on 07 May 2015 - 22:07

score 103 · Answer 14 · 2015-05-10 07:58:37

103

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Analytic Functions, Cauchys Integral Formula

Published on 10 May 2015 - 7:58

score 19 · Answer 15 · 2015-05-12 14:38:32

19

Views

A Question from complex variable

Published on 12 May 2015 - 14:38

List Question

An entire function is a polynomial iff the Taylor expansion around $0$ converges uniformly

Entire functions of order 0

Proving that a doubly-periodic entire function $f$ is constant.

Solving a logarithmic equation with variables on each side

How to show real analyticity without extending to complex plane

Prove that there is no function $f$ that is analytic.

$f=u+iv$ holomorphic, $xu+yv = (x^2+y^2)e^x \cos y$, what is $f$?

How to find some $C^\infty$ functions that do not satisfy the uniqueness theorem for analytic functions

About smooth function whose reciprocal is also smooth

Rouche Theorem and applications

Why does the ring of entire functions have no zero divisors?

Find the number of roots of a polynomial using Rouche's Theorem

Find the residue of the function $g(z)=f(z^2)$ at a given point.

Analytic Functions, Cauchys Integral Formula

A Question from complex variable

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