List questions from laurent-series

Published on 04 May 2022 - 1:23

87

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Why does $\frac{z+2}{z-1}$ not have a series expansion around $|z-1|>1$?

Published on 05 May 2022 - 3:56

67

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Laurent series $\ \ \ \ \ $

Published on 06 May 2022 - 0:31

38

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What is the value of the sum of $e^{i(-ak^2 + bk)}$ when $k$ goes through every integer?

Published on 11 May 2022 - 19:57

71

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Laurent series of this function

Published on 15 May 2022 - 4:26

347

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Laurent series of $e^z$

Published on 16 May 2022 - 2:42

58

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Prove that even doubly periodic function satisfies a differential equation

Published on 28 Mar 2026 - 13:38

27

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Find the Laurent series representation of $(z^2+1)^{-1}$ on $0 < |z-i| < 2$ (solution verification)

Published on 25 May 2022 - 11:59

66

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Confusion to a solution to finding the Principal Part of a Laurent Series

Published on 27 May 2022 - 22:29

145

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Laurent expansion of Meijer's G function

Published on 25 Mar 2026 - 8:08

113

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Find residue of $f(z) = \frac{\sin z}{(z^2+1)^2}$ at $z = \infty$

Published on 29 May 2022 - 12:38

34

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Classification of singularities of a complex function

Published on 30 Mar 2026 - 12:30

53

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Showing that $(e^{iz}-e^{i(2\pi/3-z)})^{-1}$ has a pole of order $1$ at $\frac{\pi}{3}$.

Published on 02 Jun 2022 - 0:21

41

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Finding Laurent series for $f(z)=\frac{4z^2+2z-4}{z^3-4z}$ around $z=2$

Published on 14 Jun 2022 - 7:06

105

Views

Laurent series $\frac{\exp(z^{-1})}{(z-1)^2}$

Published on 14 Jun 2022 - 14:16

List Question

Laurent Expansion of $\frac{1}{z(z-1)}$

Why does $\frac{z+2}{z-1}$ not have a series expansion around $|z-1|>1$?

Laurent series $\ \ \ \ \ $

What is the value of the sum of $e^{i(-ak^2 + bk)}$ when $k$ goes through every integer?

Laurent series of this function

Laurent series of $e^z$

Prove that even doubly periodic function satisfies a differential equation

Find the Laurent series representation of $(z^2+1)^{-1}$ on $0 < |z-i| < 2$ (solution verification)

Confusion to a solution to finding the Principal Part of a Laurent Series

Laurent expansion of Meijer's G function

Find residue of $f(z) = \frac{\sin z}{(z^2+1)^2}$ at $z = \infty$

Classification of singularities of a complex function

Showing that $(e^{iz}-e^{i(2\pi/3-z)})^{-1}$ has a pole of order $1$ at $\frac{\pi}{3}$.

Finding Laurent series for $f(z)=\frac{4z^2+2z-4}{z^3-4z}$ around $z=2$

Laurent series $\frac{\exp(z^{-1})}{(z-1)^2}$

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