List questions from complex-analysis

Published on 11 Apr 2026 - 21:51

132

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Evaluate $ \int_{0}^{2\pi} \frac{1}{12+5 \cos(t)}dt$ without residues

Published on 25 Mar 2026 - 23:00

199

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Exercise on Cauchy Riemann equations

Published on 14 Apr 2026 - 9:19

168

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Characterisation of the open neighbourhoods on $\infty$ on the Riemann sphere

Published on 11 Apr 2026 - 23:28

155

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Type of singularity of $h(z)=\frac{1}{\sin(4z-\pi)}$, $z=\frac{\pi}{4}$

Published on 13 Apr 2026 - 8:04

797

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$\sqrt {e ^{2 \pi i}} = 1$ or $-1$?

Published on 17 Apr 2026 - 12:33

111

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Is There Entire Function $|f(z)|=|1-|z||$ For All $z\in\mathbb{C}$

Published on 13 Apr 2026 - 8:20

36

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If $f(z)$ and $g(z)$ are analytic, $g(1+i)=0$, is $h(z)=\frac{f(z)}{g(z)}$ analytic?

Published on 14 Apr 2026 - 11:48

837

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Finding The Zeros Of $(e^z-1) \sin z \cos z$

Published on 12 Apr 2026 - 19:02

26

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Finding The Zeros Of Sum And Product Of Functions

Published on 09 Apr 2026 - 21:25

838

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Solving the equation $\sinh(z) +3\cosh(z) = 1$

Published on 15 Apr 2026 - 8:29

83

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Finding The Zeros Of $\frac{z^2\sin z}{\cos z -1}$

Published on 15 Apr 2026 - 7:45

144

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Do biholomorphic maps respect the existence of residues

Published on 13 Apr 2026 - 0:06

51

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Calculate $\lim_{z\to \infty}\frac{\cos(i+z)-1}{(z+i)^4}$

Published on 15 Apr 2026 - 22:36

478

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Understanding partial derivatives related to the Cauchy-Riemann equations

Published on 14 Apr 2026 - 5:23

List Question

Changing indexing of an infinte series

Evaluate $ \int_{0}^{2\pi} \frac{1}{12+5 \cos(t)}dt$ without residues

Exercise on Cauchy Riemann equations

Characterisation of the open neighbourhoods on $\infty$ on the Riemann sphere

Type of singularity of $h(z)=\frac{1}{\sin(4z-\pi)}$, $z=\frac{\pi}{4}$

$\sqrt {e ^{2 \pi i}} = 1$ or $-1$?

Is There Entire Function $|f(z)|=|1-|z||$ For All $z\in\mathbb{C}$

If $f(z)$ and $g(z)$ are analytic, $g(1+i)=0$, is $h(z)=\frac{f(z)}{g(z)}$ analytic?

Finding The Zeros Of $(e^z-1) \sin z \cos z$

Finding The Zeros Of Sum And Product Of Functions

Solving the equation $\sinh(z) +3\cosh(z) = 1$

Finding The Zeros Of $\frac{z^2\sin z}{\cos z -1}$

Do biholomorphic maps respect the existence of residues

Calculate $\lim_{z\to \infty}\frac{\cos(i+z)-1}{(z+i)^4}$

Understanding partial derivatives related to the Cauchy-Riemann equations

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