List questions from analytic-functions

Published on 26 Mar 2026 - 7:59

167

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Show two analytic functions are related by a constant

Published on 26 Mar 2026 - 12:35

69

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Is there everywhere large real-part analytic function on the upper half-plane?

Published on 08 Feb 2023 - 7:28

27

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Prove that $f$ is a polynomial function of $z$

Published on 10 Feb 2023 - 5:00

103

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Extensions of holomorphic functions

Published on 10 Feb 2023 - 5:51

31

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Assume f(z) is analytic in a domain R and never vanishes, but for some $z_{o}$ in R: $|f(z_{o})|=min(|f(z)|)$ in R. How to prove that f is constant?

Published on 10 Feb 2023 - 19:36

194

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Singularities at Infinity implies constant or polynomial function - Proof?

Published on 27 Mar 2026 - 18:25

197

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Can Schwartz class functions be nowhere analytic?

Published on 26 Mar 2026 - 6:33

48

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A question related to the existence of an analytic function

Published on 20 Feb 2023 - 23:52

25

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A question related to a complex function satisfying certain properties

Published on 26 Mar 2026 - 18:30

35

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Conditions for compositions involving one analytic function to be analytic

Published on 01 Mar 2023 - 4:06

130

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Show that $\omega \mapsto \int_A \lambda^{i\omega}d\mu(\lambda)$ is analytic

Published on 07 Mar 2023 - 17:36

122

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Hardy class of bounded analytic functions is Banach space

Published on 25 Mar 2026 - 12:53

54

Views

For continuous $f(x)$, if $\lim_{x\to 0} f(x)/p(x)=0$ for every nonzero polynomial $p(x)$, then is the same true for nonzero analytic $p(x)$?

Published on 10 Mar 2023 - 1:59

62

Views

A question related to the existence of the limit of a complex function

Published on 10 Mar 2023 - 21:33

List Question

two-times analytic continuation of the domain

Show two analytic functions are related by a constant

Is there everywhere large real-part analytic function on the upper half-plane?

Prove that $f$ is a polynomial function of $z$

Extensions of holomorphic functions

Assume f(z) is analytic in a domain R and never vanishes, but for some $z_{o}$ in R: $|f(z_{o})|=min(|f(z)|)$ in R. How to prove that f is constant?

Singularities at Infinity implies constant or polynomial function - Proof?

Can Schwartz class functions be nowhere analytic?

A question related to the existence of an analytic function

A question related to a complex function satisfying certain properties

Conditions for compositions involving one analytic function to be analytic

Show that $\omega \mapsto \int_A \lambda^{i\omega}d\mu(\lambda)$ is analytic

Hardy class of bounded analytic functions is Banach space

For continuous $f(x)$, if $\lim_{x\to 0} f(x)/p(x)=0$ for every nonzero polynomial $p(x)$, then is the same true for nonzero analytic $p(x)$?

A question related to the existence of the limit of a complex function

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