List questions from normal-families

Published on 16 Aug 2020 - 1:15

93

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If $\{f_n\}\subset A(\mathbb{\Omega})$ is normal then for $\{m_n\}$, $m_n\rightarrow\infty$, a subsequence $\{f_n^{m_n}\}$ is normal.

Published on 18 Aug 2020 - 18:00

139

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Showing that a family is not normal

Published on 06 Dec 2020 - 10:48

38

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About normal families of functions

Published on 02 Jan 2021 - 18:31

162

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Example of a non-normal family of meromorphic functions defined on the unit disk whose derivative is normal.

Published on 09 Jan 2021 - 12:56

140

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On uniform convergence in normal families of functions

Published on 10 Jan 2021 - 5:26

119

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family of holomorphic functions on $\mathbb{D}$ is normal or not

Published on 05 Feb 2021 - 15:56

213

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Calculating the normal to a hyper surface

Published on 17 Feb 2021 - 19:31

167

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Is $\frac{\sin kz}{k}$, $k\in \mathbb{N}$ a normal family in the unit disk $\mathbb{D}$ (in the spherical metric)?

Published on 12 Jul 2021 - 18:13

120

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Show all holomorphic function $f: \Omega\to\mathbb{C}$ s.t. $|f'(z)|\leq e^{|f(z)|}$ forms a normal family, where $\Omega$ is a plane region.

Published on 02 Nov 2021 - 6:34

273

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Proof that Julia set is contained in closure of repelling periodic points

Published on 23 Nov 2021 - 17:19

201

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Prove the family of function is compact & normal

Published on 19 Dec 2021 - 13:32

58

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Evaluating Conditions for Normal Family

Published on 21 May 2022 - 10:58

List Question

What is a normal limit?

If $\{f_n\}\subset A(\mathbb{\Omega})$ is normal then for $\{m_n\}$, $m_n\rightarrow\infty$, a subsequence $\{f_n^{m_n}\}$ is normal.

Showing that a family is not normal

About normal families of functions

Example of a non-normal family of meromorphic functions defined on the unit disk whose derivative is normal.

On uniform convergence in normal families of functions

family of holomorphic functions on $\mathbb{D}$ is normal or not

Calculating the normal to a hyper surface

Is $\frac{\sin kz}{k}$, $k\in \mathbb{N}$ a normal family in the unit disk $\mathbb{D}$ (in the spherical metric)?

Show all holomorphic function $f: \Omega\to\mathbb{C}$ s.t. $|f'(z)|\leq e^{|f(z)|}$ forms a normal family, where $\Omega$ is a plane region.

Proof that Julia set is contained in closure of repelling periodic points

Prove the family of function is compact & normal

Evaluating Conditions for Normal Family

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