Question

Integral of the determinant of the Jacobian in complex variables?

score 306 · Answer 1 · 2013-10-08 00:29:32

306

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Integral of the determinant of the Jacobian in complex variables?

Published on 08 Oct 2013 - 0:29

score 1.5k · Answer 2 · 2013-10-13 19:39:30

1.5k

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Complex double integral

Published on 13 Oct 2013 - 19:39

score 427 · Answer 3 · 2013-10-15 16:35:08

427

Views

Show that $\int_0^\infty e^{-x^2} \sin{2xb}\, dx =e^{-b^2}\int_0^b e^{x^2} \, dx, \, b>0, $?

Published on 15 Oct 2013 - 16:35

score 249 · Answer 4 · 2026-03-26 12:04:20

249

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Analytical Continuation

Published on 26 Mar 2026 - 12:04

score 5.7k · Answer 5 · 2013-10-17 20:14:01

5.7k

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Why do we use only upper half plane to do Residue Integration?

Published on 17 Oct 2013 - 20:14

score 12.1k · Answer 6 · 2013-10-19 02:04:11

12.1k

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Evaluate $\oint_C |z|^2 dz$ around the square with vertices at $(0,0), (1,0), (1,1), (0,1)$

Published on 19 Oct 2013 - 2:04

score 3.9k · Answer 7 · 2013-10-20 04:34:30

3.9k

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Evaluate $\oint_C\frac{dz}{z-2}$ around the circle $|z-2| = 4$

Published on 20 Oct 2013 - 4:34

score 384 · Answer 8 · 2013-10-23 19:59:46

384

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Find all functions $f(z)$ that are analytic everywhere in the entire complex plane that satisfy $f(2-i)=4i$

Published on 23 Oct 2013 - 19:59

score 85 · Answer 9 · 2013-10-23 21:08:23

85

Views

Prove that $f'(a) = \frac{1}{2\pi}\int_0^{2\pi}e^{-i\theta}f(a+e^{i\theta})d\theta$

Published on 23 Oct 2013 - 21:08

score 169 · Answer 10 · 2013-10-30 14:02:21

169

Views

How can I use Cauchy formula to this Integral?

Published on 30 Oct 2013 - 14:02

score 331 · Answer 11 · 2013-11-05 11:49:32

331

Views

Complex integration from zero to infinity at different directions

Published on 05 Nov 2013 - 11:49

score 168 · Answer 12 · 2013-11-07 08:42:03

168

Views

Calculating the integral expression $\int_0^{\infty}\lambda^{t-1}e^{-\lambda z}d\lambda$ for complex-valued z

Published on 07 Nov 2013 - 8:42

score 293 · Answer 13 · 2013-11-08 05:56:10

293

Views

Dirac Delta -- Symmetry

Published on 08 Nov 2013 - 5:56

score 204 · Answer 14 · 2013-11-17 16:08:56

204

Views

Integrating Real Function in the Complex Plane

Published on 17 Nov 2013 - 16:08

score 1.1k · Answer 15 · 2013-11-19 14:58:49

1.1k

Views

Evaluate the following integrals/ Cauchy integral theorem

Published on 19 Nov 2013 - 14:58

List Question

Integral of the determinant of the Jacobian in complex variables?

Complex double integral

Show that $\int_0^\infty e^{-x^2} \sin{2xb}\, dx =e^{-b^2}\int_0^b e^{x^2} \, dx, \, b>0, $?

Analytical Continuation

Why do we use only upper half plane to do Residue Integration?

Evaluate $\oint_C |z|^2 dz$ around the square with vertices at $(0,0), (1,0), (1,1), (0,1)$

Evaluate $\oint_C\frac{dz}{z-2}$ around the circle $|z-2| = 4$

Find all functions $f(z)$ that are analytic everywhere in the entire complex plane that satisfy $f(2-i)=4i$

Prove that $f'(a) = \frac{1}{2\pi}\int_0^{2\pi}e^{-i\theta}f(a+e^{i\theta})d\theta$

How can I use Cauchy formula to this Integral?

Complex integration from zero to infinity at different directions

Calculating the integral expression $\int_0^{\infty}\lambda^{t-1}e^{-\lambda z}d\lambda$ for complex-valued z

Dirac Delta -- Symmetry

Integrating Real Function in the Complex Plane

Evaluate the following integrals/ Cauchy integral theorem

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