List questions from complex-analysis

Published on 09 Apr 2026 - 13:25

171

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Contour Integration with $\sec{(\sqrt{1-x^2})}$

Published on 09 Apr 2026 - 0:28

426

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Generalization of Sokhotski–Plemelj theorem

Published on 17 Jan 2018 - 11:59

54

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Is the integrand integrable?

Published on 05 Apr 2026 - 15:45

251

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Unbounded entire function - Little Picard Theorem and Identity theorem - contradiction?

Published on 17 Jan 2018 - 13:20

107

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How to prove that $\frac{1-z}{|1-z|}$ is a root of unity with $z=e^{i\frac{2\pi}{n}}$

Published on 09 Apr 2026 - 0:08

85

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calculate $\int_{-\infty}^\infty\frac{e^{ix} \, dx}{x^3-3ix^2+2x+2i}$

Published on 08 Apr 2026 - 22:42

450

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Let $a_n$ be a decreasing sequence. Prove that the power series $\sum a_n x^n$ has no roots in $A=\{z\in C:|z|<1\}$

Published on 07 Apr 2026 - 2:29

1.1k

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Show pi = 4(arctan(1/2)+arctan(1/3)) using complex arithmetic

Published on 18 Jan 2018 - 0:51

1.1k

Views

Triangle in complex plane

Published on 09 Apr 2026 - 22:08

165

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How can i prove that this function is bounded in order to apply Liouville's theorem?

Published on 09 Apr 2026 - 2:32

1.8k

Views

Numerically solve complex differential equation

Published on 09 Apr 2026 - 1:38

398

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What can the disk conformally cover?

Published on 08 Apr 2026 - 19:20

95

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How to find the Fuschian group associated with a region of the complex plane

Published on 08 Apr 2026 - 22:44

100

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Inverse Fourier transform of a specific function

Published on 01 Apr 2026 - 8:20

List Question

Proof for f must be a constant polynomial

Contour Integration with $\sec{(\sqrt{1-x^2})}$

Generalization of Sokhotski–Plemelj theorem

Is the integrand integrable?

Unbounded entire function - Little Picard Theorem and Identity theorem - contradiction?

How to prove that $\frac{1-z}{|1-z|}$ is a root of unity with $z=e^{i\frac{2\pi}{n}}$

calculate $\int_{-\infty}^\infty\frac{e^{ix} \, dx}{x^3-3ix^2+2x+2i}$

Let $a_n$ be a decreasing sequence. Prove that the power series $\sum a_n x^n$ has no roots in $A=\{z\in C:|z|<1\}$

Show pi = 4(arctan(1/2)+arctan(1/3)) using complex arithmetic

Triangle in complex plane

How can i prove that this function is bounded in order to apply Liouville's theorem?

Numerically solve complex differential equation

What can the disk conformally cover?

How to find the Fuschian group associated with a region of the complex plane

Inverse Fourier transform of a specific function

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