List questions from analyticity

Published on 15 Apr 2013 - 14:47

537

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Is a function being analytic considered as a local property?

Published on 16 Apr 2013 - 13:26

182

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Can Cauchy theorem be applied to $\log{(z)}e^{ixz}$?

Published on 16 Apr 2013 - 23:43

177

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Prove that $f: (a,b)→ℂ$ cannot have infinitely many zeros in $(a,b)$

Published on 18 Apr 2013 - 15:39

175

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Let $ f:\Delta \mapsto \Delta $ be an analytic and bijective mapping.

Published on 18 Apr 2013 - 15:58

234

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Continuous dependence of zeros on a parameter

Published on 18 Apr 2013 - 16:00

1.1k

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Show that some $C^\infty$ real function is analytic

Published on 21 Apr 2013 - 16:30

1.2k

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Analytic functions of a real variable which do not extend to an open complex neighborhood

Published on 22 Apr 2013 - 1:25

39

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Analytic random function

Published on 23 Apr 2013 - 10:37

231

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Inverse of a differentiable function equal to its derivative then f is analytic

Published on 23 Apr 2013 - 16:28

126

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Prove there exists $f \in C^{\infty}$, bounded derivatives,

Published on 23 Apr 2013 - 16:56

3.1k

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Check for analyticity of a complex function

Published on 25 Apr 2013 - 16:42

1.2k

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Complex analytic function on a line

Published on 25 Apr 2013 - 20:41

180

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When does a function differentiable in a domain become constant

Published on 26 Apr 2013 - 11:44

1.3k

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$f, g$ are analytic at $z_0$. Then $f/g$ is analytic at $z_0$ iff $g(z_0) ≠ 0.$

Published on 27 Apr 2013 - 15:25

List Question

Assume that the set of values where $f^{(k)}≠0$ is finite

Is a function being analytic considered as a local property?

Can Cauchy theorem be applied to $\log{(z)}e^{ixz}$?

Prove that $f: (a,b)→ℂ$ cannot have infinitely many zeros in $(a,b)$

Let $ f:\Delta \mapsto \Delta $ be an analytic and bijective mapping.

Continuous dependence of zeros on a parameter

Show that some $C^\infty$ real function is analytic

Analytic functions of a real variable which do not extend to an open complex neighborhood

Analytic random function

Inverse of a differentiable function equal to its derivative then f is analytic

Prove there exists $f \in C^{\infty}$, bounded derivatives,

Check for analyticity of a complex function

Complex analytic function on a line

When does a function differentiable in a domain become constant

$f, g$ are analytic at $z_0$. Then $f/g$ is analytic at $z_0$ iff $g(z_0) ≠ 0.$

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