List questions from laurent-series

Published on 29 Apr 2020 - 1:29

364

Views

Complex contour integral and Laurent series of $\frac{\sin z}{z^3-z}$

Published on 30 Apr 2020 - 17:58

117

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Expressing a series of complex exponentials as an asymptotic expansion

Published on 26 Mar 2026 - 4:34

29

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Computing the Laurent series of $\frac{1}{z^2}$ around the point $z = 3$

Published on 03 May 2020 - 15:16

49

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Shouldn't we ensure |z|<1 before proceeding further in this question?

Published on 04 May 2020 - 23:22

57

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How do I find Laurent series of $f(z)=\frac{\operatorname{sh}(z)}{(z^2+\pi^2)^2}$ at $z=\mathrm i\pi$

Published on 05 May 2020 - 12:08

123

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$a_{-1}$ in the Laurent series of $\frac{1} {\sin (z)}$ at $0$.

Published on 26 Mar 2026 - 14:35

80

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Finding the largest region on which Laurent series converges

Published on 26 Mar 2026 - 7:58

39

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Convergence of Taylor Series (as part of finding the region of Conv for a Laurent series)

Published on 26 Mar 2026 - 9:41

34

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How to find Laurent expansion of $f(z)$

Published on 08 May 2020 - 18:47

47

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Determine sum function and area of convergence the Laurent series $\sum_{n=1}^\infty \frac{z^{-4n}}{4n} + \sum_{n=0}^\infty \frac{z^{4n}}{(4n)!}$.

Published on 09 May 2020 - 10:40

26

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Calculation of the Laurent Series

Published on 09 May 2020 - 20:16

76

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Complex integration and Laurent Series

Published on 10 May 2020 - 17:51

181

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Series expansion of $\dfrac{z^2}{1+z^2}$

Published on 26 Mar 2026 - 14:34

62

Views

Finding the limit of a quotient of polynomials containing a constant to the power of $n$

Published on 11 May 2020 - 20:04

List Question

Laurent series, finding annulus

Complex contour integral and Laurent series of $\frac{\sin z}{z^3-z}$

Expressing a series of complex exponentials as an asymptotic expansion

Computing the Laurent series of $\frac{1}{z^2}$ around the point $z = 3$

Shouldn't we ensure |z|<1 before proceeding further in this question?

How do I find Laurent series of $f(z)=\frac{\operatorname{sh}(z)}{(z^2+\pi^2)^2}$ at $z=\mathrm i\pi$

$a_{-1}$ in the Laurent series of $\frac{1} {\sin (z)}$ at $0$.

Finding the largest region on which Laurent series converges

Convergence of Taylor Series (as part of finding the region of Conv for a Laurent series)

How to find Laurent expansion of $f(z)$

Determine sum function and area of convergence the Laurent series $\sum_{n=1}^\infty \frac{z^{-4n}}{4n} + \sum_{n=0}^\infty \frac{z^{4n}}{(4n)!}$.

Calculation of the Laurent Series

Complex integration and Laurent Series

Series expansion of $\dfrac{z^2}{1+z^2}$

Finding the limit of a quotient of polynomials containing a constant to the power of $n$

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