List questions from analyticity

Published on 28 Mar 2026 - 16:04

86

Views

Analytic versus $C^{\infty}$ example

Published on 14 Sep 2017 - 23:27

41

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Can a a priori unbounded infinite sum of analytic functions be analytic if it is equal another analytic function on a dense subset?

Published on 15 Sep 2017 - 13:15

2.3k

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Testing the analyticity of $2\ln z$

Published on 16 Sep 2017 - 3:36

132

Views

Dirichlet series, analytic continuation and convergence

Published on 26 Mar 2026 - 22:17

85

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Wave equation with real analytic data

Published on 25 Mar 2026 - 18:15

473

Views

How to determine if a function of a complex variable is analytic at infinity or zero?

Published on 22 Sep 2017 - 3:20

2.5k

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How are $z$ and $z^*$ independent?

Published on 04 Oct 2017 - 21:15

332

Views

Show that $v$ is harmonic and rotation invariant iff $v(z)=A\log |z|+B$ for some constants $A$ and $B$

Published on 07 Oct 2017 - 22:08

2k

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Proving that a function can't be real part of an analytic function

Published on 09 Oct 2017 - 16:28

51

Views

how to find this analytic function satisfying such condition

Published on 28 Mar 2026 - 19:37

152

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let $g(z)=f(\overline z)$ ,is $g$ analytic in $\Omega$ ??,

Published on 23 Oct 2017 - 13:43

375

Views

An integral involving a smooth function

Published on 29 Oct 2017 - 19:50

60

Views

Does analyticity of integrand imply integral is analytic or asymptotic to power series?

Published on 18 Nov 2017 - 15:11

59

Views

Function implicitly defined by composition is analytic

Published on 23 Feb 2026 - 16:47

List Question

A function is analytic if and only if it is holomorphic

Analytic versus $C^{\infty}$ example

Can a a priori unbounded infinite sum of analytic functions be analytic if it is equal another analytic function on a dense subset?

Testing the analyticity of $2\ln z$

Dirichlet series, analytic continuation and convergence

Wave equation with real analytic data

How to determine if a function of a complex variable is analytic at infinity or zero?

How are $z$ and $z^*$ independent?

Show that $v$ is harmonic and rotation invariant iff $v(z)=A\log |z|+B$ for some constants $A$ and $B$

Proving that a function can't be real part of an analytic function

how to find this analytic function satisfying such condition

let $g(z)=f(\overline z)$ ,is $g$ analytic in $\Omega$ ??,

An integral involving a smooth function

Does analyticity of integrand imply integral is analytic or asymptotic to power series?

Function implicitly defined by composition is analytic

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