List questions from holomorphic-functions

Published on 10 May 2026 - 17:59

171

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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 16 Apr 2026 - 3:46

74

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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 15 Apr 2026 - 17:27

109

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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 16 Apr 2026 - 11:33

52

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Components and zero of complex polynomials

Published on 12 Apr 2026 - 13:44

305

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Preimage set of complex polynomial is connected.

Published on 13 Apr 2026 - 22:09

283

Views

L2 inequality implies completeness

Published on 10 May 2026 - 18:58

173

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Bounded holomorphic extension to Cantor set

Published on 10 May 2026 - 21:47

364

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About the definition of holomorphic function

Published on 10 Apr 2026 - 10:59

170

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Geometric explanation of Rouché theorem

Published on 10 May 2026 - 18:04

111

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sharp bound on second derivative for holomorphic functions on unit disc

Published on 12 Apr 2026 - 18:14

82

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Function $\Gamma$

Published on 14 Apr 2026 - 19:50

313

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Choosing any branch cut, or some branch cut?

Published on 10 May 2026 - 16:01

37

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Existence of holomorphic function on the unit disc

Published on 11 Apr 2026 - 23:10

199

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Geometric interpretation of Joukowski transformation

Published on 10 May 2026 - 16:59

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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