Question

A holomorphic function is identically zero

score 66 · Answer 1 · 2026-03-31 03:24:51

66

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A holomorphic function is identically zero

Published on 31 Mar 2026 - 3:24

score 53 · Answer 2 · 2026-03-29 16:50:08

53

Views

Attitude for solving $\int_{|z+1|=1} \frac{1}{z^{3}-i} d z$

Published on 29 Mar 2026 - 16:50

score 996 · Answer 3 · 2021-04-29 13:10:49

996

Views

Calculate $\int_{γ}\frac{\sin z}{z^4}dz$

Published on 29 Apr 2021 - 13:10

score 285 · Answer 4 · 2021-04-30 17:42:36

285

Views

Integrate $\int_0^\infty \frac{\sin x}{x}\frac{\sinh(ax)}{\sinh(bx)}e^{-cx}\,dx$

Published on 30 Apr 2021 - 17:42

score 89 · Answer 5 · 2021-05-02 07:28:50

89

Views

Evaluation of integral consisting rational function of exponential and power of x:

Published on 02 May 2021 - 7:28

score 53 · Answer 6 · 2021-05-02 12:18:44

53

Views

Complex integral stuck on one part

Published on 02 May 2021 - 12:18

score 377 · Answer 7 · 2026-03-29 16:47:53

377

Views

Cauchy integral formula for a point outside the simple closed curve

Published on 29 Mar 2026 - 16:47

score 103 · Answer 8 · 2026-03-29 16:50:09

103

Views

Complex Analysis: Show that $\int_{C_\epsilon} \frac{1}{(z-x_0)^{2n+1}}dz = 0$

Published on 29 Mar 2026 - 16:50

score 70 · Answer 9 · 2026-04-08 14:38:01

70

Views

Cauchy Integral Question

Published on 08 Apr 2026 - 14:38

score 628 · Answer 10 · 2021-05-03 18:00:47

628

Views

Solve complex integral: $\int_{0}^{2\pi} \frac{\cos{3\theta}}{5-4\cos\theta}d\theta$

Published on 03 May 2021 - 18:00

score 109 · Answer 11 · 2021-05-03 22:12:42

109

Views

Show that $\int_0^{\pi} \frac{1}{(a+\cos\theta)^2}d\theta = \frac{a\pi}{(\sqrt{a^2-1})^3}; \;\;a>1$

Published on 03 May 2021 - 22:12

score 271 · Answer 12 · 2026-03-29 18:37:23

271

Views

$\int\limits_{-\infty}^\infty \left(f_T(\frac{x-\mu}{1+\Psi/2})-f_T(\frac{x+\mu}{1-\Psi/2})\right)\frac{x\gamma}{(x-x_{0})^{2}+\gamma^2/4}dx$

Published on 29 Mar 2026 - 18:37

score 156 · Answer 13 · 2021-05-07 07:29:05

156

Views

Evaluate $\lim_{r\to 1}\int_{0}^{2\pi}\frac{d\theta}{(1+r^2\cos2\theta)^{\frac{1}{3}}}$

Published on 07 May 2021 - 7:29

score 39 · Answer 14 · 2021-05-07 13:18:11

39

Views

integral of holomorphic on the open unit disk and continuous on the closure is zero

Published on 07 May 2021 - 13:18

score 71 · Answer 15 · 2026-03-29 19:14:27

71

Views

Let $f(z) =e^\frac1z + \frac{1}{z-1}$ and determine what kind of singularities (removable, essential or pole) occur at $z=0$ and $z=1$

Published on 29 Mar 2026 - 19:14

List Question

A holomorphic function is identically zero

Attitude for solving $\int_{|z+1|=1} \frac{1}{z^{3}-i} d z$

Calculate $\int_{γ}\frac{\sin z}{z^4}dz$

Integrate $\int_0^\infty \frac{\sin x}{x}\frac{\sinh(ax)}{\sinh(bx)}e^{-cx}\,dx$

Evaluation of integral consisting rational function of exponential and power of x:

Complex integral stuck on one part

Cauchy integral formula for a point outside the simple closed curve

Complex Analysis: Show that $\int_{C_\epsilon} \frac{1}{(z-x_0)^{2n+1}}dz = 0$

Cauchy Integral Question

Solve complex integral: $\int_{0}^{2\pi} \frac{\cos{3\theta}}{5-4\cos\theta}d\theta$

Show that $\int_0^{\pi} \frac{1}{(a+\cos\theta)^2}d\theta = \frac{a\pi}{(\sqrt{a^2-1})^3}; \;\;a>1$

$\int\limits_{-\infty}^\infty \left(f_T(\frac{x-\mu}{1+\Psi/2})-f_T(\frac{x+\mu}{1-\Psi/2})\right)\frac{x\gamma}{(x-x_{0})^{2}+\gamma^2/4}dx$

Evaluate $\lim_{r\to 1}\int_{0}^{2\pi}\frac{d\theta}{(1+r^2\cos2\theta)^{\frac{1}{3}}}$

integral of holomorphic on the open unit disk and continuous on the closure is zero

Let $f(z) =e^\frac1z + \frac{1}{z-1}$ and determine what kind of singularities (removable, essential or pole) occur at $z=0$ and $z=1$

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