List questions from analytic-functions

Published on 19 Jan 2022 - 3:51

141

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Is $f(x + iy) = \exp(iy)$ analytic?

Published on 27 Mar 2026 - 2:59

37

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Do real-analytic functions that uniformly converge in all derivatives make something good?

Published on 30 Mar 2026 - 6:46

48

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Question about Analytic Functions

Published on 24 Jan 2022 - 16:41

164

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Power series with radius of convergence two.

Published on 28 Mar 2026 - 12:02

88

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How Weierstrass Transform and analytic functions related?

Published on 25 Jan 2022 - 20:23

213

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If a Taylor series agrees with its function in $U$, that function is analytic in $U$

Published on 28 Jan 2022 - 2:13

85

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Complex functions that is not quite analytic

Published on 27 Mar 2026 - 1:13

81

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Proving $\Delta(|f|^p)=p^2(|f|^{p-2}) |\frac{\partial{f}}{\partial{z}}|^2$ is true for any $p>0$ for a non-vanishing analytic function f in $\Omega$?

Published on 29 Jan 2022 - 23:53

103

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showing removable singularity at origin.

Published on 30 Mar 2026 - 5:31

135

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A Cauchy-Schwarz type integral inequality for analytic functions.

Published on 02 Feb 2022 - 17:45

165

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Analytic functions on spaces over non-Archimedean fields and troubles with totally disconnectedness

Published on 23 Feb 2026 - 2:56

334

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Analytic function on a domain is injective if its image of the boundary is a simple closed curve

Published on 10 Feb 2022 - 3:17

87

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Analytic continuation of $y=\sqrt{x^4-x^2+1}$

Published on 24 Feb 2022 - 10:53

42

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Proving that $\lambda$ is not analytic in differential topology.

Published on 30 Mar 2026 - 5:16

List Question

Prove that the radius of convergence of $\log(1+z)$ is precisely $1$

Is $f(x + iy) = \exp(iy)$ analytic?

Do real-analytic functions that uniformly converge in all derivatives make something good?

Question about Analytic Functions

Power series with radius of convergence two.

How Weierstrass Transform and analytic functions related?

If a Taylor series agrees with its function in $U$, that function is analytic in $U$

Complex functions that is not quite analytic

Proving $\Delta(|f|^p)=p^2(|f|^{p-2}) |\frac{\partial{f}}{\partial{z}}|^2$ is true for any $p>0$ for a non-vanishing analytic function f in $\Omega$?

showing removable singularity at origin.

A Cauchy-Schwarz type integral inequality for analytic functions.

Analytic functions on spaces over non-Archimedean fields and troubles with totally disconnectedness

Analytic function on a domain is injective if its image of the boundary is a simple closed curve

Analytic continuation of $y=\sqrt{x^4-x^2+1}$

Proving that $\lambda$ is not analytic in differential topology.

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