Question

Mellin transform of $f(1-x)$

score 367 · Answer 1 · 2026-03-26 06:12:44

367

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Mellin transform of $f(1-x)$

Published on 26 Mar 2026 - 6:12

score 152 · Answer 2 · 2017-08-31 09:22:55

152

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Evaluate indefinite integral $\int e^{-3t} \cos(2-\sqrt{3}t)dt $ using complex exponential

Published on 31 Aug 2017 - 9:22

score 54 · Answer 3 · 2017-08-31 10:19:18

54

Views

If a $\int_{\partial R} \omega =0$ with $\partial R$ the boundary of a rectangle in an open disc $U \subset \mathbb{C}$, then $\omega$ is exact

Published on 31 Aug 2017 - 10:19

score 2.3k · Answer 4 · 2017-08-31 14:36:52

2.3k

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Fourier transform of cos(x)/x

Published on 31 Aug 2017 - 14:36

score 523 · Answer 5 · 2017-09-01 06:09:16

523

Views

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

Published on 01 Sep 2017 - 6:09

score 330 · Answer 6 · 2017-09-01 20:23:16

330

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Does there exist a direct way of proving Cauchy's integral formula?

Published on 01 Sep 2017 - 20:23

score 139 · Answer 7 · 2017-09-02 10:33:56

139

Views

Prove that $\int_{\gamma} f(z)\ dz = 0$ for any closed contour $\gamma$ in the region $G$.

Published on 02 Sep 2017 - 10:33

score 38 · Answer 8 · 2017-09-03 07:08:46

38

Views

Is the map $g$ differentiable in $G \setminus \{\gamma \}$?

Published on 03 Sep 2017 - 7:08

score 466 · Answer 9 · 2017-09-03 19:51:15

466

Views

Contour for Meijer G-function

Published on 03 Sep 2017 - 19:51

score 92 · Answer 10 · 2017-09-03 22:44:28

92

Views

Show that $\int_{0}^{\infty}\frac{x^2}{1+x^5}dx = \frac{\pi}{5\sin(\frac{2\pi}{5})}$

Published on 03 Sep 2017 - 22:44

score 121 · Answer 11 · 2017-09-04 18:49:20

121

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Show that there is an integer $k$ with $\int_{\gamma} z^{-1}\ dz = \log r + i \theta + 2 \pi i k.$

Published on 04 Sep 2017 - 18:49

score 241 · Answer 12 · 2017-09-06 13:37:52

241

Views

Proof verification: integral of $\sum\limits_{n=1}^{\infty} \frac{1}{n! z^n}$ over the unit circle

Published on 06 Sep 2017 - 13:37

score 191 · Answer 13 · 2017-09-07 04:18:26

191

Views

Complex integral substitution

Published on 07 Sep 2017 - 4:18

score 76 · Answer 14 · 2017-09-07 15:30:43

76

Views

Extension of an integral formula on an open complex subset

Published on 07 Sep 2017 - 15:30

score 1.5k · Answer 15 · 2017-09-10 09:22:29

1.5k

Views

Find the singular points, the pole type and compute the residue of: $\frac{\sinh(z)}{z^4(1-z^2)}$

Published on 10 Sep 2017 - 9:22

List Question

Mellin transform of $f(1-x)$

Evaluate indefinite integral $\int e^{-3t} \cos(2-\sqrt{3}t)dt $ using complex exponential

If a $\int_{\partial R} \omega =0$ with $\partial R$ the boundary of a rectangle in an open disc $U \subset \mathbb{C}$, then $\omega$ is exact

Fourier transform of cos(x)/x

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

Does there exist a direct way of proving Cauchy's integral formula?

Prove that $\int_{\gamma} f(z)\ dz = 0$ for any closed contour $\gamma$ in the region $G$.

Is the map $g$ differentiable in $G \setminus \{\gamma \}$?

Contour for Meijer G-function

Show that $\int_{0}^{\infty}\frac{x^2}{1+x^5}dx = \frac{\pi}{5\sin(\frac{2\pi}{5})}$

Show that there is an integer $k$ with $\int_{\gamma} z^{-1}\ dz = \log r + i \theta + 2 \pi i k.$

Proof verification: integral of $\sum\limits_{n=1}^{\infty} \frac{1}{n! z^n}$ over the unit circle

Complex integral substitution

Extension of an integral formula on an open complex subset

Find the singular points, the pole type and compute the residue of: $\frac{\sinh(z)}{z^4(1-z^2)}$

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