Question

Finding the $n$th Taylor coefficient of $g(z)=\frac{z}{(z-b)^2}$ centered at $a$ (where $a=2-\sqrt{3}$ and $b=2+\sqrt{3}$?

score 230 · Answer 1 · 2014-11-12 11:45:11

230

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Finding the $n$th Taylor coefficient of $g(z)=\frac{z}{(z-b)^2}$ centered at $a$ (where $a=2-\sqrt{3}$ and $b=2+\sqrt{3}$?

Published on 12 Nov 2014 - 11:45

score 202 · Answer 2 · 2026-03-29 08:56:11

202

Views

Contour integral using residue

Published on 29 Mar 2026 - 8:56

score 350 · Answer 3 · 2026-03-29 18:32:52

350

Views

An integral $\int^\infty_0\frac{\tanh{x}}{x(1-2\cosh{2x})^2}{\rm d}x$

Published on 29 Mar 2026 - 18:32

score 967 · Answer 4 · 2026-03-25 06:30:32

967

Views

Why do we need a branch cut for $\int_0^{\infty} \frac{x^{\frac{1}{2}}}{{(1 + x)^2}}dx$?

Published on 25 Mar 2026 - 6:30

score 328 · Answer 5 · 2014-11-15 12:53:33

328

Views

Saddle Points in Complex Plane of trig function

Published on 15 Nov 2014 - 12:53

score 80 · Answer 6 · 2026-03-29 10:28:48

80

Views

Determining the value of an integral using complex methods

Published on 29 Mar 2026 - 10:28

score 717 · Answer 7 · 2026-04-03 01:23:14

717

Views

Why is the pole generally outside the contour loop when its outside the contour loop in 2D?

Published on 03 Apr 2026 - 1:23

score 266 · Answer 8 · 2026-03-29 10:27:39

266

Views

Evaluating $I_{\alpha}=\int_{0}^{\infty} \frac{\ln(1+x^2)}{x^\alpha}dx$ using complex analysis

Published on 29 Mar 2026 - 10:27

score 93 · Answer 9 · 2026-03-31 07:48:52

93

Views

How to justify this complex substitution using contour integration

Published on 31 Mar 2026 - 7:48

score 1.6k · Answer 10 · 2014-11-17 08:13:16

1.6k

Views

Winding numbers are continuous: The proof was too easy

Published on 17 Nov 2014 - 8:13

score 1.5k · Answer 11 · 2026-03-28 22:13:50

1.5k

Views

Geometrical Interpretation of the Cauchy-Goursat Theorem?

Published on 28 Mar 2026 - 22:13

score 481 · Answer 12 · 2014-11-17 22:10:32

481

Views

Using Cauchy Integral Formula (Exercise from BCA-Marsden)

Published on 17 Nov 2014 - 22:10

score 158 · Answer 13 · 2014-11-17 23:55:03

158

Views

Complex analysis $\int^{2\pi}_0 \frac{d \theta}{(2-\sin \theta)^2}$

Published on 17 Nov 2014 - 23:55

score 7.3k · Answer 14 · 2026-03-25 06:26:21

7.3k

Views

Integral with branch cut ( Problem while calculating residue)

Published on 25 Mar 2026 - 6:26

score 254 · Answer 15 · 2014-11-18 12:18:42

254

Views

Integral $\int_0^{2\pi}\frac{dx}{2+\cos{x}}$

Published on 18 Nov 2014 - 12:18

List Question

Finding the $n$th Taylor coefficient of $g(z)=\frac{z}{(z-b)^2}$ centered at $a$ (where $a=2-\sqrt{3}$ and $b=2+\sqrt{3}$?

Contour integral using residue

An integral $\int^\infty_0\frac{\tanh{x}}{x(1-2\cosh{2x})^2}{\rm d}x$

Why do we need a branch cut for $\int_0^{\infty} \frac{x^{\frac{1}{2}}}{{(1 + x)^2}}dx$?

Saddle Points in Complex Plane of trig function

Determining the value of an integral using complex methods

Why is the pole generally outside the contour loop when its outside the contour loop in 2D?

Evaluating $I_{\alpha}=\int_{0}^{\infty} \frac{\ln(1+x^2)}{x^\alpha}dx$ using complex analysis

How to justify this complex substitution using contour integration

Winding numbers are continuous: The proof was too easy

Geometrical Interpretation of the Cauchy-Goursat Theorem?

Using Cauchy Integral Formula (Exercise from BCA-Marsden)

Complex analysis $\int^{2\pi}_0 \frac{d \theta}{(2-\sin \theta)^2}$

Integral with branch cut ( Problem while calculating residue)

Integral $\int_0^{2\pi}\frac{dx}{2+\cos{x}}$

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