List questions from normal-families

Published on 25 Jun 2014 - 2:31

286

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Is there any relationship between the skewness parameter in the "stable distribution" and the shape parameter in the Skew normal distribution?

Published on 16 Nov 2014 - 7:28

265

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Compact normal family

Published on 21 Nov 2014 - 17:06

54

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Let $\mathcal{F}$ denote all analytic functions such that $|f(z)| \leq \frac{1}{(1-|z|)^{2015}}$ for all $z\in \mathbb{D}$.

Published on 01 Jan 2020 - 4:24

727

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Let $\mathcal{F}$ be the family of all functions $f$ analytic on $\mathbb{D}$ s.t. $\iint_{\mathbb{D}}|f(x-iy)|^2dxdy<1 \implies\mathcal{F}$ is normal

Published on 11 Jan 2020 - 21:45

497

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How to prove in a concise way that $\{f(kz):k \in \mathbb{C}\}$ is a normal family?

Published on 05 Apr 2020 - 3:31

140

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Determine where does a set of functions contain a normal family

Published on 21 Apr 2020 - 18:58

61

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Subsequence of normal family

Published on 24 Apr 2020 - 15:22

277

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Showing that a family is normal iff a singularity is non-essential

Published on 28 Apr 2020 - 2:38

323

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the family of analytic functions with positive real part is normal.

Published on 27 May 2020 - 5:09

94

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Is this family normal?

Published on 15 Jul 2020 - 10:03

62

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The conditions under which a function family becomes a normal family - complex analysis

Published on 17 Jun 2023 - 8:59

28

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Normality of the derived family of a normal family.

Published on 24 Dec 2023 - 5:37

41

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Is this family of functions normal?

Published on 10 Jan 2024 - 10:30

37

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Is the family of polynomials with special coefficients a normal family?

Published on 10 Jan 2024 - 11:13

List Question

Using normal families to bound a complex integral

Is there any relationship between the skewness parameter in the "stable distribution" and the shape parameter in the Skew normal distribution?

Compact normal family

Let $\mathcal{F}$ denote all analytic functions such that $|f(z)| \leq \frac{1}{(1-|z|)^{2015}}$ for all $z\in \mathbb{D}$.

Let $\mathcal{F}$ be the family of all functions $f$ analytic on $\mathbb{D}$ s.t. $\iint_{\mathbb{D}}|f(x-iy)|^2dxdy<1 \implies\mathcal{F}$ is normal

How to prove in a concise way that $\{f(kz):k \in \mathbb{C}\}$ is a normal family?

Determine where does a set of functions contain a normal family

Subsequence of normal family

Showing that a family is normal iff a singularity is non-essential

the family of analytic functions with positive real part is normal.

Is this family normal?

The conditions under which a function family becomes a normal family - complex analysis

Normality of the derived family of a normal family.

Is this family of functions normal?

Is the family of polynomials with special coefficients a normal family?

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