List questions from holomorphic-functions

Published on 24 Mar 2026 - 20:30

168

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Using the identity theorem for $h\left(\left( \frac{n}{n+1} \right)^{2}\right) = 1 - \frac{1}{n+1}$

Published on 18 May 2018 - 9:15

71

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Let $f:\bar{U}\rightarrow\mathbb{C}$ a continuous function such that $f|_U$ is holomorph. Find $f$ where $f(t)=\cos t+e^t$ if $t\in[0,1]$

Published on 18 May 2018 - 13:27

106

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Does there exist an entire function $f$ such that $\forall n \in \mathbb{N}: f(\frac{1}{n}) = \frac{n}{2n-1}$

Published on 20 May 2018 - 17:20

49

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Components and zero of complex polynomials

Published on 20 May 2018 - 18:23

302

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Preimage set of complex polynomial is connected.

Published on 20 May 2018 - 18:35

278

Views

L2 inequality implies completeness

Published on 21 May 2018 - 1:33

169

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Bounded holomorphic extension to Cantor set

Published on 21 May 2018 - 23:37

361

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About the definition of holomorphic function

Published on 24 May 2018 - 9:35

168

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Geometric explanation of Rouché theorem

Published on 24 Mar 2026 - 20:32

108

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sharp bound on second derivative for holomorphic functions on unit disc

Published on 26 May 2018 - 22:53

78

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Function $\Gamma$

Published on 28 May 2018 - 18:54

310

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Choosing any branch cut, or some branch cut?

Published on 24 Mar 2026 - 22:18

34

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Existence of holomorphic function on the unit disc

Published on 01 Jun 2018 - 1:52

195

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Geometric interpretation of Joukowski transformation

Published on 03 Jun 2018 - 23:42

List Question

Zeros of holomorphic function on Annulus

Using the identity theorem for $h\left(\left( \frac{n}{n+1} \right)^{2}\right) = 1 - \frac{1}{n+1}$

Let $f:\bar{U}\rightarrow\mathbb{C}$ a continuous function such that $f|_U$ is holomorph. Find $f$ where $f(t)=\cos t+e^t$ if $t\in[0,1]$

Does there exist an entire function $f$ such that $\forall n \in \mathbb{N}: f(\frac{1}{n}) = \frac{n}{2n-1}$

Components and zero of complex polynomials

Preimage set of complex polynomial is connected.

L2 inequality implies completeness

Bounded holomorphic extension to Cantor set

About the definition of holomorphic function

Geometric explanation of Rouché theorem

sharp bound on second derivative for holomorphic functions on unit disc

Function $\Gamma$

Choosing any branch cut, or some branch cut?

Existence of holomorphic function on the unit disc

Geometric interpretation of Joukowski transformation

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