List questions from complex-analysis

Published on 13 Apr 2026 - 22:55

52

Views

Largest disc centered at $z_0$ in which $f$ is holomorphic

Published on 25 Mar 2026 - 9:26

47

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Prove that if $f$ is an holomorphic function with certain conditions then $f=0$

Published on 25 Mar 2026 - 9:32

47

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If $\Omega$ is a symmetric domain of $\mathbb{C}$ and $f$ an isomorphism with certain conditions then $f(\overline{z})=\overline{f(z)}$

Published on 25 Mar 2026 - 1:18

366

Views

A limit involving the Thue–Morse sequence

Published on 13 Apr 2026 - 7:50

73

Views

Limit of a series, at the boundary of convergence region

Published on 14 Apr 2026 - 0:48

49

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What's the meaning of $\oint_{\partial\Delta}$?

Published on 09 Apr 2026 - 19:10

145

Views

Prove a function is multivalued

Published on 20 Apr 2026 - 20:45

388

Views

The complex rational function is a polynomial if it takes integer value when variable is an integer

Published on 10 Apr 2026 - 7:51

795

Views

Linear approximation of a complex function

Published on 12 Apr 2026 - 11:09

240

Views

Inverse of a complex function

Published on 13 Apr 2026 - 1:10

133

Views

Every $f \in H(\Omega)$ can be approximated by polynomials, uniformly on compact subsets of $\Omega$

Published on 25 Mar 2026 - 9:28

840

Views

Analyzing 2nd derivatives of complex functions.

Published on 14 Apr 2026 - 11:53

3k

Views

Uniform continuity of $f(z)=1/z^2$

Published on 16 Apr 2026 - 6:15

98

Views

Holomorphic injection between open ball and the plane minus an interval

Published on 25 Mar 2026 - 9:25

List Question

zeroes of anlytic function is isloated .

Largest disc centered at $z_0$ in which $f$ is holomorphic

Prove that if $f$ is an holomorphic function with certain conditions then $f=0$

If $\Omega$ is a symmetric domain of $\mathbb{C}$ and $f$ an isomorphism with certain conditions then $f(\overline{z})=\overline{f(z)}$

A limit involving the Thue–Morse sequence

Limit of a series, at the boundary of convergence region

What's the meaning of $\oint_{\partial\Delta}$?

Prove a function is multivalued

The complex rational function is a polynomial if it takes integer value when variable is an integer

Linear approximation of a complex function

Inverse of a complex function

Every $f \in H(\Omega)$ can be approximated by polynomials, uniformly on compact subsets of $\Omega$

Analyzing 2nd derivatives of complex functions.

Uniform continuity of $f(z)=1/z^2$

Holomorphic injection between open ball and the plane minus an interval

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