Question

How to find the residue of $\frac{\mathrm{e}^{z}}{\sin(2\mathrm{i}z)}$

score 88 · Answer 1 · 2017-10-28 05:46:13

88

Views

How to find the residue of $\frac{\mathrm{e}^{z}}{\sin(2\mathrm{i}z)}$

Published on 28 Oct 2017 - 5:46

score 270 · Answer 2 · 2017-10-28 06:31:38

270

Views

Show that $\int_{\gamma} f(z)\ dz =0$.

Published on 28 Oct 2017 - 6:31

score 558 · Answer 3 · 2017-10-29 18:47:11

558

Views

Integral $\int_{-1}^{1} \frac{1}{(1+u^2)^{n/2}} \exp{\left(-2\pi \frac{a^2+b^2}{1+u^2}\right)} \exp{\left(-4\pi i ab \frac{u}{1+u^2}\right)} du $

Published on 29 Oct 2017 - 18:47

score 147 · Answer 4 · 2017-10-30 10:02:03

147

Views

Find all possible values of $\int_{\gamma} \frac {dz} {1+z^2}$?

Published on 30 Oct 2017 - 10:02

score 1.9k · Answer 5 · 2017-10-30 11:01:10

1.9k

Views

Show that the poles of analytic function $f$ cannot have a limit point in $G$.

Published on 30 Oct 2017 - 11:01

score 49 · Answer 6 · 2026-03-28 21:57:08

49

Views

What steps do we usually perform to calculate integrals using Cauchy's theorem?

Published on 28 Mar 2026 - 21:57

score 416 · Answer 7 · 2017-11-01 12:21:11

416

Views

Laurent series expansion of $\exp {\frac {1} {z}}$.

Published on 01 Nov 2017 - 12:21

score 230 · Answer 8 · 2017-11-01 14:09:14

230

Views

Using Cauchy's theorem to entire function $e^{-z^2}$

Published on 01 Nov 2017 - 14:09

score 60 · Answer 9 · 2017-11-01 17:53:45

60

Views

Uniform convergence of a complex integral

Published on 01 Nov 2017 - 17:53

score 83 · Answer 10 · 2017-11-01 19:48:53

83

Views

equivalence of two complex integrals in Ahlfors Complex Analysis

Published on 01 Nov 2017 - 19:48

score 96 · Answer 11 · 2017-11-02 11:01:19

96

Views

Solve $\int_C(2z^2+8z+1)dz$ with parametric curves $x = a (\theta- \sin\theta)$ and $y = a (1 - \cos\theta)$

Published on 02 Nov 2017 - 11:01

score 205 · Answer 12 · 2017-11-02 11:11:59

205

Views

Compute $\int_{|z|=1}\frac{e^z}{z^n}dz$

Published on 02 Nov 2017 - 11:11

score 176 · Answer 13 · 2026-03-30 16:45:40

176

Views

Solve $\int_{|z|=3}\frac{2z^2-z+1}{(z-1)^2(z-2)}dz$

Published on 30 Mar 2026 - 16:45

score 1.1k · Answer 14 · 2017-11-05 08:03:06

1.1k

Views

Contour integral with two poles

Published on 05 Nov 2017 - 8:03

score 156 · Answer 15 · 2017-11-05 14:39:19

156

Views

Why does the integral over the closed contour $\gamma$ be zero?

Published on 05 Nov 2017 - 14:39

List Question

How to find the residue of $\frac{\mathrm{e}^{z}}{\sin(2\mathrm{i}z)}$

Show that $\int_{\gamma} f(z)\ dz =0$.

Integral $\int_{-1}^{1} \frac{1}{(1+u^2)^{n/2}} \exp{\left(-2\pi \frac{a^2+b^2}{1+u^2}\right)} \exp{\left(-4\pi i ab \frac{u}{1+u^2}\right)} du $

Find all possible values of $\int_{\gamma} \frac {dz} {1+z^2}$?

Show that the poles of analytic function $f$ cannot have a limit point in $G$.

What steps do we usually perform to calculate integrals using Cauchy's theorem?

Laurent series expansion of $\exp {\frac {1} {z}}$.

Using Cauchy's theorem to entire function $e^{-z^2}$

Uniform convergence of a complex integral

equivalence of two complex integrals in Ahlfors Complex Analysis

Solve $\int_C(2z^2+8z+1)dz$ with parametric curves $x = a (\theta- \sin\theta)$ and $y = a (1 - \cos\theta)$

Compute $\int_{|z|=1}\frac{e^z}{z^n}dz$

Solve $\int_{|z|=3}\frac{2z^2-z+1}{(z-1)^2(z-2)}dz$

Contour integral with two poles

Why does the integral over the closed contour $\gamma$ be zero?

Trending Questions

Popular # Hahtags

Popular Questions