Question

Rational Series VS Algebraic Series

score 76 · Answer 1 · 2014-07-23 02:37:55

76

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Rational Series VS Algebraic Series

Published on 23 Jul 2014 - 2:37

score 2.4k · Answer 2 · 2014-08-05 01:46:26

2.4k

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Laurent series expansion of function $f(z)=\frac{1}{z^2-z}$ in powers of $z-i$ in region of convergence

Published on 05 Aug 2014 - 1:46

score 140 · Answer 3 · 2014-08-07 22:40:43

140

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Does $x^2+ x^4/(3\cdot4) + x^6/(3\cdot4\cdot5\cdot6) + \cdots$ have any compact form?

Published on 07 Aug 2014 - 22:40

score 55 · Answer 4 · 2014-08-08 16:23:50

55

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Laurent series of $f(z)=(z^2-1)\mathrm{cos}\frac{1}{z+i}$ in $z_{0}=-i$ and $Res[f(z), -i]$

Published on 08 Aug 2014 - 16:23

score 154 · Answer 5 · 2014-08-11 02:39:31

154

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Computing the Laurent series for $1/z^2$ about $z_0=1$

Published on 11 Aug 2014 - 2:39

score 5.3k · Answer 6 · 2014-08-11 06:29:20

5.3k

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Laurent series for $1/(e^z-1)$

Published on 11 Aug 2014 - 6:29

score 1.2k · Answer 7 · 2026-03-26 12:46:59

1.2k

Views

An outrageous way to derive a Laurent series: why does this work?

Published on 26 Mar 2026 - 12:46

score 108 · Answer 8 · 2014-08-12 22:40:48

108

Views

Finding the Laurent series of a nontrivial function

Published on 12 Aug 2014 - 22:40

score 93 · Answer 9 · 2014-08-14 16:10:49

93

Views

Classification of isolated singularity

Published on 14 Aug 2014 - 16:10

score 291 · Answer 10 · 2014-08-28 09:02:09

291

Views

Guidance / Help with Laurent series expansion in a certain annulus

Published on 28 Aug 2014 - 9:02

score 178 · Answer 11 · 2026-02-23 08:28:26

178

Views

If $f$ is an odd function that is holomorphic in $\mathbb{C}- \{0\}$ such that $|f(z)| \leq \frac1{|z|}+ |z|^2$, then $f(z) = \frac{a_{-1}}{z} + a_1z$

Published on 23 Feb 2026 - 8:28

score 180 · Answer 12 · 2014-08-28 19:52:17

180

Views

Is there a theory of "rings" with partially defined multiplication?

Published on 28 Aug 2014 - 19:52

score 128 · Answer 13 · 2014-08-29 06:37:22

128

Views

Verification of Laurent Series calculation

Published on 29 Aug 2014 - 6:37

score 145 · Answer 14 · 2014-08-29 20:40:33

145

Views

Validity of Laurent series's principal part calculation

Published on 29 Aug 2014 - 20:40

score 2.6k · Answer 15 · 2014-08-30 08:33:51

2.6k

Views

Principal Part of Laurent series' expansion of $f(z)=\frac{\sin(z^3)}{(1-\cos z)^3}$

Published on 30 Aug 2014 - 8:33

List Question

Rational Series VS Algebraic Series

Laurent series expansion of function $f(z)=\frac{1}{z^2-z}$ in powers of $z-i$ in region of convergence

Does $x^2+ x^4/(3\cdot4) + x^6/(3\cdot4\cdot5\cdot6) + \cdots$ have any compact form?

Laurent series of $f(z)=(z^2-1)\mathrm{cos}\frac{1}{z+i}$ in $z_{0}=-i$ and $Res[f(z), -i]$

Computing the Laurent series for $1/z^2$ about $z_0=1$

Laurent series for $1/(e^z-1)$

An outrageous way to derive a Laurent series: why does this work?

Finding the Laurent series of a nontrivial function

Classification of isolated singularity

Guidance / Help with Laurent series expansion in a certain annulus

If $f$ is an odd function that is holomorphic in $\mathbb{C}- \{0\}$ such that $|f(z)| \leq \frac1{|z|}+ |z|^2$, then $f(z) = \frac{a_{-1}}{z} + a_1z$

Is there a theory of "rings" with partially defined multiplication?

Verification of Laurent Series calculation

Validity of Laurent series's principal part calculation

Principal Part of Laurent series' expansion of $f(z)=\frac{\sin(z^3)}{(1-\cos z)^3}$

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