Question

Computing $\int_{\partial G}\Im z \thinspace d z$ and $\int_{\partial G}\frac{z}{|z|}dz$ where $G:=\{ z \in \mathbb{D} : \Re z + \Im z > 1 \}.$

score 80 · Answer 1 · 2017-01-22 00:04:53

80

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Computing $\int_{\partial G}\Im z \thinspace d z$ and $\int_{\partial G}\frac{z}{|z|}dz$ where $G:=\{ z \in \mathbb{D} : \Re z + \Im z > 1 \}.$

Published on 22 Jan 2017 - 0:04

score 1.5k · Answer 2 · 2017-01-22 00:47:59

1.5k

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Calculating the inverse Fourier transform of $ \frac{2i \sin(\pi \omega)}{\omega^{2}-1}$ using the definition

Published on 22 Jan 2017 - 0:47

score 1k · Answer 3 · 2017-01-22 03:01:43

1k

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Calculate the integrals $\oint_{\left|z\right|=1} (z+z^2)\cos(\sin (1/z)) dz$ and $\oint_{\left|z\right|=1} (z+z^2)\sin(\pi\cos(1/z)) dz $

Published on 22 Jan 2017 - 3:01

score 860 · Answer 4 · 2017-01-23 05:57:52

860

Views

If $\int_{\Bbb R^2}|f(x+iy)|\,dx\,dy<\infty$ then prove that $f\equiv 0$

Published on 23 Jan 2017 - 5:57

score 180 · Answer 5 · 2026-03-27 08:56:00

180

Views

integral of $1 \over |z|$ over a circle

Published on 27 Mar 2026 - 8:56

score 965 · Answer 6 · 2017-01-24 14:01:31

965

Views

Schwarz Lemma Proof

Published on 24 Jan 2017 - 14:01

score 77 · Answer 7 · 2017-01-25 08:58:26

77

Views

Prove the integration

Published on 25 Jan 2017 - 8:58

score 61 · Answer 8 · 2017-01-27 06:18:09

61

Views

How can I solve this integral with complex numbers

Published on 27 Jan 2017 - 6:18

score 63 · Answer 9 · 2017-01-27 06:38:42

63

Views

How can I solve this integral with complex number

Published on 27 Jan 2017 - 6:38

score 57 · Answer 10 · 2017-01-27 06:59:54

57

Views

How can I solve this integral with using Residues

Published on 27 Jan 2017 - 6:59

score 510 · Answer 11 · 2017-01-29 02:19:26

510

Views

Detail in the use of the Residue Theorem for $\int\limits_{-\infty}^{\infty}\frac{\cos(2x)-1}{x^2}dx$

Published on 29 Jan 2017 - 2:19

score 24 · Answer 12 · 2026-03-25 18:53:52

24

Views

Numetrical integration of complex exponent integral, need cheapest way

Published on 25 Mar 2026 - 18:53

score 616 · Answer 13 · 2017-01-31 21:51:02

616

Views

Improper integrals with Jordan's lemma, choice of contour?

Published on 31 Jan 2017 - 21:51

score 81 · Answer 14 · 2026-03-25 16:07:08

81

Views

Complex Integral final steps

Published on 25 Mar 2026 - 16:07

score 144 · Answer 15 · 2017-02-03 03:11:46

144

Views

To find the value of integral in complex analysis.

Published on 03 Feb 2017 - 3:11

List Question

Computing $\int_{\partial G}\Im z \thinspace d z$ and $\int_{\partial G}\frac{z}{|z|}dz$ where $G:=\{ z \in \mathbb{D} : \Re z + \Im z > 1 \}.$

Calculating the inverse Fourier transform of $ \frac{2i \sin(\pi \omega)}{\omega^{2}-1}$ using the definition

Calculate the integrals $\oint_{\left|z\right|=1} (z+z^2)\cos(\sin (1/z)) dz$ and $\oint_{\left|z\right|=1} (z+z^2)\sin(\pi\cos(1/z)) dz $

If $\int_{\Bbb R^2}|f(x+iy)|\,dx\,dy<\infty$ then prove that $f\equiv 0$

integral of $1 \over |z|$ over a circle

Schwarz Lemma Proof

Prove the integration

How can I solve this integral with complex numbers

How can I solve this integral with complex number

How can I solve this integral with using Residues

Detail in the use of the Residue Theorem for $\int\limits_{-\infty}^{\infty}\frac{\cos(2x)-1}{x^2}dx$

Numetrical integration of complex exponent integral, need cheapest way

Improper integrals with Jordan's lemma, choice of contour?

Complex Integral final steps

To find the value of integral in complex analysis.

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