Question

Laurent series of $\dfrac{\sin(z)}{z\log(z+1)}$

score 111 · Answer 1 · 2021-01-24 20:22:31

111

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Laurent series of $\dfrac{\sin(z)}{z\log(z+1)}$

Published on 24 Jan 2021 - 20:22

score 112 · Answer 2 · 2026-03-27 16:19:23

112

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Proposition about Weierstrass's elliptic function, or $\wp$ function.

Published on 27 Mar 2026 - 16:19

score 119 · Answer 3 · 2026-03-28 16:26:30

119

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How can we justify the following passage in Volker Scheidemann's book "Introduction to complex analysis in several variables"?

Published on 28 Mar 2026 - 16:26

score 122 · Answer 4 · 2021-02-07 18:25:16

122

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Expand $\frac{\Gamma\left(\frac{x}{2}\right)}{\Gamma\left(\frac{x-1}{2}\right)}$ at $x=\infty$

Published on 07 Feb 2021 - 18:25

score 47 · Answer 5 · 2021-02-08 22:03:55

47

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Laurent Series of $\frac{1}{z + \tan z -i}$

Published on 08 Feb 2021 - 22:03

score 71 · Answer 6 · 2021-02-09 19:29:03

71

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Convergence of Taylor series expansion

Published on 09 Feb 2021 - 19:29

score 51 · Answer 7 · 2021-02-10 16:07:48

51

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Computation of laurent series and convergence test

Published on 10 Feb 2021 - 16:07

score 103 · Answer 8 · 2021-02-11 04:44:24

103

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Laurent series expansion of $\frac{1}{z(e^z-1)}$

Published on 11 Feb 2021 - 4:44

score 175 · Answer 9 · 2021-02-11 07:03:35

175

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Estimations of some new recurrence sequences

Published on 11 Feb 2021 - 7:03

score 148 · Answer 10 · 2021-02-11 12:23:04

148

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Laurent series example

Published on 11 Feb 2021 - 12:23

score 81 · Answer 11 · 2021-02-12 17:03:49

81

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Finding Laurent of $ \frac{e^{1/z}}{1-z} $

Published on 12 Feb 2021 - 17:03

score 117 · Answer 12 · 2021-02-12 17:49:24

117

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Finding the Laurent series of $\frac{1+cos(z)}{(z-\pi)^3}$

Published on 12 Feb 2021 - 17:49

score 124 · Answer 13 · 2021-02-13 07:50:56

124

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Find the $\mathcal{o}\left(n\right)$ so that $a_n\sim\frac{\mathcal{o}\left(n\right)}{n}+\mathcal{O}\left(\frac{1}{n}\right){\rm as}\lim a_n=\infty$

Published on 13 Feb 2021 - 7:50

score 141 · Answer 14 · 2021-02-13 09:46:15

141

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Given a recursion $a_{n+ 1}= \sqrt{na_{n}+ 2n+ 1}$ with $a_{1}\geq 1.$ Prove that $a_{n}\sim n\,{\rm as}\,n\rightarrow\infty$

Published on 13 Feb 2021 - 9:46

score 194 · Answer 15 · 2021-02-14 07:09:28

194

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Find the $\mathcal{O}\left(\frac{1}{n}\right)$ so that $a_n-1=\mathcal{O}\left(\frac{1}{n}\right)\,{\rm as}\,n\rightarrow\infty$

Published on 14 Feb 2021 - 7:09

List Question

Laurent series of $\dfrac{\sin(z)}{z\log(z+1)}$

Proposition about Weierstrass's elliptic function, or $\wp$ function.

How can we justify the following passage in Volker Scheidemann's book "Introduction to complex analysis in several variables"?

Expand $\frac{\Gamma\left(\frac{x}{2}\right)}{\Gamma\left(\frac{x-1}{2}\right)}$ at $x=\infty$

Laurent Series of $\frac{1}{z + \tan z -i}$

Convergence of Taylor series expansion

Computation of laurent series and convergence test

Laurent series expansion of $\frac{1}{z(e^z-1)}$

Estimations of some new recurrence sequences

Laurent series example

Finding Laurent of $ \frac{e^{1/z}}{1-z} $

Finding the Laurent series of $\frac{1+cos(z)}{(z-\pi)^3}$

Find the $\mathcal{o}\left(n\right)$ so that $a_n\sim\frac{\mathcal{o}\left(n\right)}{n}+\mathcal{O}\left(\frac{1}{n}\right){\rm as}\lim a_n=\infty$

Given a recursion $a_{n+ 1}= \sqrt{na_{n}+ 2n+ 1}$ with $a_{1}\geq 1.$ Prove that $a_{n}\sim n\,{\rm as}\,n\rightarrow\infty$

Find the $\mathcal{O}\left(\frac{1}{n}\right)$ so that $a_n-1=\mathcal{O}\left(\frac{1}{n}\right)\,{\rm as}\,n\rightarrow\infty$

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