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Find the order of the pole and the residue of $f(x)=\frac{\cos z}{z^2}$ and $g(x)=\frac{e^z-1}{z^2}$

score 72 · Answer 1 · 2026-03-13 23:25:21

72

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Find the order of the pole and the residue of $f(x)=\frac{\cos z}{z^2}$ and $g(x)=\frac{e^z-1}{z^2}$

Published on 13 Mar 2026 - 23:25

score 144 · Answer 2 · 2016-04-02 20:05:35

144

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Classify the singularity of a simple pole

Published on 02 Apr 2016 - 20:05

score 176 · Answer 3 · 2026-02-26 12:36:29

176

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Cauchy argument principle for function with essential singularity

Published on 26 Feb 2026 - 12:36

score 60 · Answer 4 · 2016-04-02 23:28:18

60

Views

Finding pole of a function

Published on 02 Apr 2016 - 23:28

score 648 · Answer 5 · 2016-04-02 23:43:23

648

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Classify the singularity - $\frac{1}{e^z-1}$

Published on 02 Apr 2016 - 23:43

score 308 · Answer 6 · 2016-04-03 00:48:21

308

Views

Any tangent vector field on S^2 has a singular point

Published on 03 Apr 2016 - 0:48

score 87 · Answer 7 · 2016-04-03 00:56:49

87

Views

Classification of the singularities of $\frac{1}{z^2+1}$ at $a=1$

Published on 03 Apr 2016 - 0:56

score 212 · Answer 8 · 2016-04-03 02:31:40

212

Views

Classification of singularities - Pole

Published on 03 Apr 2016 - 2:31

score 43 · Answer 9 · 2016-04-03 15:00:12

43

Views

Classification of singularities - $\frac{e^{-z^2}}{(z-2)}$ at $a=0$

Published on 03 Apr 2016 - 15:00

score 3.8k · Answer 10 · 2016-04-03 16:41:53

3.8k

Views

Classification of singularities - $f(z)=z \cos(1/z)$

Published on 03 Apr 2016 - 16:41

score 254 · Answer 11 · 2016-04-03 19:38:06

254

Views

Classification of singularities - $f(z)=\frac{1}{z} + \frac{1}{\sin z}$

Published on 03 Apr 2016 - 19:38

score 1.1k · Answer 12 · 2016-04-03 20:25:25

1.1k

Views

Order of a zero - $\frac{1}{e^z-1}$ - Equivalence between two definitions

Published on 03 Apr 2016 - 20:25

score 72 · Answer 13 · 2016-04-04 02:36:29

72

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$f(z)=\frac{\sin z}{z^2}$ - Two different Laurent series

Published on 04 Apr 2016 - 2:36

score 101 · Answer 14 · 2016-04-05 00:55:49

101

Views

Characterizing the following function's singularities: $\frac{z^{1/3}+1}{z+1}$

Published on 05 Apr 2016 - 0:55

score 158 · Answer 15 · 2016-04-06 12:41:27

158

Views

sum of functions have essential singularity

Published on 06 Apr 2016 - 12:41

List Question

Find the order of the pole and the residue of $f(x)=\frac{\cos z}{z^2}$ and $g(x)=\frac{e^z-1}{z^2}$

Classify the singularity of a simple pole

Cauchy argument principle for function with essential singularity

Finding pole of a function

Classify the singularity - $\frac{1}{e^z-1}$

Any tangent vector field on S^2 has a singular point

Classification of the singularities of $\frac{1}{z^2+1}$ at $a=1$

Classification of singularities - Pole

Classification of singularities - $\frac{e^{-z^2}}{(z-2)}$ at $a=0$

Classification of singularities - $f(z)=z \cos(1/z)$

Classification of singularities - $f(z)=\frac{1}{z} + \frac{1}{\sin z}$

Order of a zero - $\frac{1}{e^z-1}$ - Equivalence between two definitions

$f(z)=\frac{\sin z}{z^2}$ - Two different Laurent series

Characterizing the following function's singularities: $\frac{z^{1/3}+1}{z+1}$

sum of functions have essential singularity

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