Question

Laurent series expansion of $f(z)= \frac{\sinh(z)}{z^3}$

score 5.3k · Answer 1 · 2014-12-08 05:44:33

5.3k

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Laurent series expansion of $f(z)= \frac{\sinh(z)}{z^3}$

Published on 08 Dec 2014 - 5:44

score 520 · Answer 2 · 2014-12-08 19:54:27

520

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Why are there two series representations of the natural logarithm?

Published on 08 Dec 2014 - 19:54

score 359 · Answer 3 · 2014-12-10 01:15:38

359

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Laurent expansion with different annuli

Published on 10 Dec 2014 - 1:15

score 198 · Answer 4 · 2014-12-10 16:13:18

198

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Countour integral using residue theorem: $ \int_{\gamma} \tanh(z) dz $ where $\gamma(t) = e^{it}$ and $0 \leq t \leq 2\pi$.

Published on 10 Dec 2014 - 16:13

score 1.1k · Answer 5 · 2014-12-11 00:38:47

1.1k

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Laurent Series, region of convergence

Published on 11 Dec 2014 - 0:38

score 149 · Answer 6 · 2014-12-11 11:24:40

149

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Residue theorem with contour integrals: $ \int_{\gamma} \frac{1}{z^{2}\sin(z)} dz$ where $\gamma(t) = e^{it}$ and $ 0 \leq t \leq 2\pi$

Published on 11 Dec 2014 - 11:24

score 414 · Answer 7 · 2014-12-11 18:30:09

414

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integration, laurent series, residue therorem

Published on 11 Dec 2014 - 18:30

score 116 · Answer 8 · 2014-12-12 05:01:39

116

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Laurent Series of $f(z)=(z+1)\sin\frac{z^{2}+2z+5}{(z+1)^{2}}$

Published on 12 Dec 2014 - 5:01

score 335 · Answer 9 · 2014-12-13 16:51:59

335

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How to figure out Laurent series expansion for $z^2 \sin(1/(z+i))$?

Published on 13 Dec 2014 - 16:51

score 132 · Answer 10 · 2014-12-13 19:45:45

132

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How do I calculate the residue of $\sin(z+1/z)$?

Published on 13 Dec 2014 - 19:45

score 560 · Answer 11 · 2014-12-13 22:36:18

560

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Compute $\int_\Gamma \frac{e^\frac{1}{z}}{z-1}dz$, where $\Gamma$ is the circle $|z-1|\le\frac{3}{2}$, positively oriented.

Published on 13 Dec 2014 - 22:36

score 71 · Answer 12 · 2014-12-14 16:40:20

71

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Integral along closed contour

Published on 14 Dec 2014 - 16:40

score 101 · Answer 13 · 2014-12-14 18:43:46

101

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The Computation of a special kind of Laurent Series

Published on 14 Dec 2014 - 18:43

score 3.1k · Answer 14 · 2014-12-17 14:22:37

3.1k

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The Laurent series expansion of 1/((z^2)(z+1))

Published on 17 Dec 2014 - 14:22

score 150 · Answer 15 · 2014-12-17 15:04:51

150

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How to compute the residue of $(z^2+2z+1)\sin\left(\frac{1}{1+z}\right)$

Published on 17 Dec 2014 - 15:04

List Question

Laurent series expansion of $f(z)= \frac{\sinh(z)}{z^3}$

Why are there two series representations of the natural logarithm?

Laurent expansion with different annuli

Countour integral using residue theorem: $ \int_{\gamma} \tanh(z) dz $ where $\gamma(t) = e^{it}$ and $0 \leq t \leq 2\pi$.

Laurent Series, region of convergence

Residue theorem with contour integrals: $ \int_{\gamma} \frac{1}{z^{2}\sin(z)} dz$ where $\gamma(t) = e^{it}$ and $ 0 \leq t \leq 2\pi$

integration, laurent series, residue therorem

Laurent Series of $f(z)=(z+1)\sin\frac{z^{2}+2z+5}{(z+1)^{2}}$

How to figure out Laurent series expansion for $z^2 \sin(1/(z+i))$?

How do I calculate the residue of $\sin(z+1/z)$?

Compute $\int_\Gamma \frac{e^\frac{1}{z}}{z-1}dz$, where $\Gamma$ is the circle $|z-1|\le\frac{3}{2}$, positively oriented.

Integral along closed contour

The Computation of a special kind of Laurent Series

The Laurent series expansion of 1/((z^2)(z+1))

How to compute the residue of $(z^2+2z+1)\sin\left(\frac{1}{1+z}\right)$

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