List questions from complex-integration

Published on 21 Jul 2023 - 2:14

157

Views

Contour Integral around the unit circle $C$: $\oint_C \frac{e^z-1}{\sin^3(z)}dz$

Published on 30 Mar 2026 - 2:11

54

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A bit confused why this is true in the proof of that a cauchy integral has a power series representation

Published on 26 Jul 2023 - 19:04

70

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Complex contour integral and measure theory

Published on 04 Aug 2023 - 13:56

123

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How to integrate on a complex interval?

Published on 05 Aug 2023 - 15:16

68

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Poles of $f(z)$ when $f(z)$ has a zero and a singularity at the same point

Published on 06 Aug 2023 - 8:45

407

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Why is $e^{-ix}$ an odd function?

Published on 23 Feb 2026 - 15:01

89

Views

Value of $\int_{C} \frac{1}{z} dz$

Published on 12 Aug 2023 - 1:31

51

Views

A question on converting complex -> real integral

Published on 16 Aug 2023 - 6:11

77

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Analyticity of a function in two complex variables

Published on 29 Mar 2026 - 19:25

130

Views

Interpreting $\sum_a^b$ when $a$ and $b$ are complex numbers

Published on 25 Mar 2026 - 7:34

71

Views

$\left|\frac{e^{z}-1}{z}\right| \leq 1$, for $\text{Re}(z) \leq 0$?

Published on 23 Aug 2023 - 22:16

45

Views

Type of singularity at infinity for Faddeeva function, error function?

Published on 25 Mar 2026 - 11:52

113

Views

Cauchy Residue Theorem with Logarithms

Published on 25 Mar 2026 - 17:36

149

Views

Evaluation of the integral of $\int_0^\infty \frac{\mathrm{Ti}_2(x)}{e^{2 \pi x} - 1}\,dx$

Published on 01 Sep 2023 - 7:32

List Question

Is $ f$ bounded as $\Im z\to \infty$

Contour Integral around the unit circle $C$: $\oint_C \frac{e^z-1}{\sin^3(z)}dz$

A bit confused why this is true in the proof of that a cauchy integral has a power series representation

Complex contour integral and measure theory

How to integrate on a complex interval?

Poles of $f(z)$ when $f(z)$ has a zero and a singularity at the same point

Why is $e^{-ix}$ an odd function?

Value of $\int_{C} \frac{1}{z} dz$

A question on converting complex -> real integral

Analyticity of a function in two complex variables

Interpreting $\sum_a^b$ when $a$ and $b$ are complex numbers

$\left|\frac{e^{z}-1}{z}\right| \leq 1$, for $\text{Re}(z) \leq 0$?

Type of singularity at infinity for Faddeeva function, error function?

Cauchy Residue Theorem with Logarithms

Evaluation of the integral of $\int_0^\infty \frac{\mathrm{Ti}_2(x)}{e^{2 \pi x} - 1}\,dx$

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