List questions from analytic-functions

Published on 10 May 2026 - 12:29

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Is there Cauchy-type estimate for real analytic functions?

Published on 29 Apr 2026 - 12:55

533

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Holomorphic function is injective

Published on 01 Apr 2026 - 15:33

83

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the cardinality of $S?$

Published on 12 Apr 2026 - 2:25

67

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Verifying that $H(z)$ is analytic

Published on 29 Apr 2026 - 12:49

74

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Find the value of $f(1/4)$?

Published on 16 Apr 2026 - 14:36

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Prove that $f(z) = |z|$ is not analytic.

Published on 13 Apr 2026 - 16:56

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How do we know the Taylor expansion for $e^x$ works for all $x$? Or that it's analytic?

Published on 14 Apr 2026 - 20:38

87

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Defining a new function to be holomorphic by construction

Published on 24 Mar 2026 - 22:06

174

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Is it possible to obtain the closed-form expression of this differential equation?

Published on 05 May 2026 - 9:26

4.2k

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Determining on what domain a complex Logarithm is analytic

Published on 12 Apr 2026 - 1:31

345

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Let $f=u+iv$, show that $f(z)=-icz+d$ with $c\in \mathbb{R}, d\in\mathbb{C}$

Published on 16 Apr 2026 - 12:29

1.1k

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zero sets of real analytic functions of several variables

Published on 16 Apr 2026 - 12:39

205

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Analytic function $f$ such that $(f(z))^n= f(z^n)$

Published on 29 Apr 2026 - 12:51

104

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Derivability of $|z|^2$

Published on 15 Apr 2026 - 19:19

List Question

Connection between Analytic and harmonic

Is there Cauchy-type estimate for real analytic functions?

Holomorphic function is injective

the cardinality of $S?$

Verifying that $H(z)$ is analytic

Find the value of $f(1/4)$?

Prove that $f(z) = |z|$ is not analytic.

How do we know the Taylor expansion for $e^x$ works for all $x$? Or that it's analytic?

Defining a new function to be holomorphic by construction

Is it possible to obtain the closed-form expression of this differential equation?

Determining on what domain a complex Logarithm is analytic

Let $f=u+iv$, show that $f(z)=-icz+d$ with $c\in \mathbb{R}, d\in\mathbb{C}$

zero sets of real analytic functions of several variables

Analytic function $f$ such that $(f(z))^n= f(z^n)$

Derivability of $|z|^2$

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