List questions from analytic-functions

Published on 12 Sep 2017 - 8:32

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Is there a bijective holomorphic function from the upper half plane (or the unit disc) to $H_1=\{z \text{ }|\text{ } 0<\text{Im}(z)<1\}$

Published on 28 Mar 2026 - 17:40

325

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Existence of closed form function for every power series

Published on 27 Mar 2026 - 14:30

41

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Can this one specific case be generalized?

Published on 20 Sep 2017 - 23:56

63

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Existence of analytic function satisfying given conditions

Published on 21 Sep 2017 - 7:50

341

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What happens when changing the center of a power series of an analytical function

Published on 23 Sep 2017 - 18:00

486

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How to prove the converse of Carathéodory's theorem

Published on 28 Mar 2026 - 17:40

1.7k

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If $f$ is analytic then $|f|$ is not constant unless $f$ is constant

Published on 02 Oct 2017 - 12:12

1.5k

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Showing that a complex function is nowhere analytic

Published on 06 Oct 2017 - 18:34

407

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Let $u(x,y)=x^{3}+ax^{2}y+bxy^{2}+2y^{3}$ be a harmonic function, $v(x,y)$ be its harmonic conjugate....

Published on 08 Oct 2017 - 8:44

212

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Conformal equivalence of finitely connected regions

Published on 25 Mar 2026 - 13:02

838

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Prove the existence of an analytic function

Published on 28 Mar 2026 - 19:37

591

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Analytic function or Non-analytic function in a Neural Network?

Published on 27 Mar 2026 - 18:07

1.2k

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Exercise on analytic functions on the unit disk

Published on 28 Mar 2026 - 19:37

726

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Integrating Laurent series termwise

Published on 22 Oct 2017 - 11:25

List Question

Prove that a function is not analytic at the origin

Is there a bijective holomorphic function from the upper half plane (or the unit disc) to $H_1=\{z \text{ }|\text{ } 0<\text{Im}(z)<1\}$

Existence of closed form function for every power series

Can this one specific case be generalized?

Existence of analytic function satisfying given conditions

What happens when changing the center of a power series of an analytical function

How to prove the converse of Carathéodory's theorem

If $f$ is analytic then $|f|$ is not constant unless $f$ is constant

Showing that a complex function is nowhere analytic

Let $u(x,y)=x^{3}+ax^{2}y+bxy^{2}+2y^{3}$ be a harmonic function, $v(x,y)$ be its harmonic conjugate....

Conformal equivalence of finitely connected regions

Prove the existence of an analytic function

Analytic function or Non-analytic function in a Neural Network?

Exercise on analytic functions on the unit disk

Integrating Laurent series termwise

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