Question

Assume that a function $f$ is analytic in the disk $\Delta(0,r)$ and that $0<s<r$. Define a path $\gamma:[0,2\pi]\rightarrow \mathbb{C}$

score 81 · Answer 1 · 2017-11-20 19:37:21

81

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Assume that a function $f$ is analytic in the disk $\Delta(0,r)$ and that $0<s<r$. Define a path $\gamma:[0,2\pi]\rightarrow \mathbb{C}$

Published on 20 Nov 2017 - 19:37

score 233 · Answer 2 · 2017-11-20 19:48:50

233

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a function that is analytic which satisfies a Lipschitz condition

Published on 20 Nov 2017 - 19:48

score 94 · Answer 3 · 2017-11-21 13:20:16

94

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Compute $\sum\limits_{n=0}^\infty \frac{1}{a+(2n+1)^2},$, $a>0$ using residue theorem

Published on 21 Nov 2017 - 13:20

score 921 · Answer 4 · 2017-11-21 16:06:05

921

Views

Cauchy's integral formula and Green's theorem. Scalar or gradient?

Published on 21 Nov 2017 - 16:06

score 244 · Answer 5 · 2017-11-22 19:53:35

244

Views

Integral with an exponential function with square root as an exponent

Published on 22 Nov 2017 - 19:53

score 2.7k · Answer 6 · 2017-11-23 04:25:58

2.7k

Views

Divergence, curl, and gradient of a complex function

Published on 23 Nov 2017 - 4:25

score 175 · Answer 7 · 2026-03-25 13:33:18

175

Views

Boundary values of Cauchy integral along a curve

Published on 25 Mar 2026 - 13:33

score 1.8k · Answer 8 · 2017-12-03 08:28:01

1.8k

Views

Can you Lebesgue integrate a complex function on a curve?

Published on 03 Dec 2017 - 8:28

score 52 · Answer 9 · 2017-12-03 14:26:15

52

Views

Prove that $F_{m}$ is continuous.

Published on 03 Dec 2017 - 14:26

score 66 · Answer 10 · 2017-12-03 22:21:21

66

Views

Bounding a Contour for Complex Integration

Published on 03 Dec 2017 - 22:21

score 1.9k · Answer 11 · 2017-12-05 16:43:23

1.9k

Views

How to compute $\int_c \frac{ \cos(z)}{ z^2 (z-1)}$ on the circle |z|=3/2 without the residue theorem

Published on 05 Dec 2017 - 16:43

score 39 · Answer 12 · 2017-12-06 12:50:35

39

Views

How to calculate the residue of the following function?

Published on 06 Dec 2017 - 12:50

score 174 · Answer 13 · 2026-03-29 03:27:34

174

Views

An uncommen complex Gaussian Integral with simple poles

Published on 29 Mar 2026 - 3:27

score 1.8k · Answer 14 · 2017-12-07 15:32:18

1.8k

Views

Solving $\oint_C \frac{3z-2}{z^2 - 2iz} \,dz $ using Cauchy's Integral Formula

Published on 07 Dec 2017 - 15:32

score 128 · Answer 15 · 2017-12-09 15:58:37

128

Views

Proving that $\frac{1}{2\pi i}\int_{\gamma(0,3)}\frac{e^{zb}}{z^2+1}dz= \sin (b)$.

Published on 09 Dec 2017 - 15:58

List Question

Assume that a function $f$ is analytic in the disk $\Delta(0,r)$ and that $0<s<r$. Define a path $\gamma:[0,2\pi]\rightarrow \mathbb{C}$

a function that is analytic which satisfies a Lipschitz condition

Compute $\sum\limits_{n=0}^\infty \frac{1}{a+(2n+1)^2},$, $a>0$ using residue theorem

Cauchy's integral formula and Green's theorem. Scalar or gradient?

Integral with an exponential function with square root as an exponent

Divergence, curl, and gradient of a complex function

Boundary values of Cauchy integral along a curve

Can you Lebesgue integrate a complex function on a curve?

Prove that $F_{m}$ is continuous.

Bounding a Contour for Complex Integration

How to compute $\int_c \frac{ \cos(z)}{ z^2 (z-1)}$ on the circle |z|=3/2 without the residue theorem

How to calculate the residue of the following function?

An uncommen complex Gaussian Integral with simple poles

Solving $\oint_C \frac{3z-2}{z^2 - 2iz} \,dz $ using Cauchy's Integral Formula

Proving that $\frac{1}{2\pi i}\int_{\gamma(0,3)}\frac{e^{zb}}{z^2+1}dz= \sin (b)$.

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