List questions from laurent-series

Published on 23 Dec 2014 - 2:59

9.5k

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Prove $f$ entire and with a pole at infinity to be polynomial

Published on 24 Dec 2014 - 4:02

84

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How to calculate the residue of $\frac{z^{2n}+1}{z^n[iaz^2+(1+a^2)z-ia]}$ at $z=0$

Published on 24 Dec 2014 - 15:45

684

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Uniform convergence in the Laurent coefficients proof, why?

Published on 29 Dec 2014 - 4:37

672

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Find the Laurent expansion of $1/(\cos(z)-1)$ in the regions $|z|<2\pi$ and $2\pi<|z| <4\pi$

Published on 30 Dec 2014 - 22:11

47

Views

Condition for a formal power series to be a Laurent polynomial

Published on 26 Mar 2026 - 1:16

183

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finitely tailed Laurent series as the completion of $k(T)$

Published on 25 Mar 2026 - 3:07

73

Views

Laurent series of $\frac{1}{z^2}$ centered at $z=-1$ in the annulus $1<|z+1|<2$

Published on 23 Oct 2019 - 16:04

171

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Find the Laurent series of function

Published on 31 Oct 2019 - 8:33

99

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Choose the correct option:

Published on 05 Nov 2019 - 16:18

72

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How to find $a_{20}$ using contour integral?

Published on 09 Nov 2019 - 22:12

284

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Laurent expansion of $\sin(z)$ at infinity.

Published on 09 Nov 2019 - 23:17

478

Views

Uniform Convergence Weierstrass' M-Test

Published on 18 Nov 2019 - 8:31

180

Views

Laurent's expansion confusing

Published on 18 Nov 2019 - 21:08

413

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Laurent expansion of the Schwarzian derivative

Published on 19 Nov 2019 - 4:41

List Question

Remainder for Laurent expansion

Prove $f$ entire and with a pole at infinity to be polynomial

How to calculate the residue of $\frac{z^{2n}+1}{z^n[iaz^2+(1+a^2)z-ia]}$ at $z=0$

Uniform convergence in the Laurent coefficients proof, why?

Find the Laurent expansion of $1/(\cos(z)-1)$ in the regions $|z|<2\pi$ and $2\pi<|z| <4\pi$

Condition for a formal power series to be a Laurent polynomial

finitely tailed Laurent series as the completion of $k(T)$

Laurent series of $\frac{1}{z^2}$ centered at $z=-1$ in the annulus $1<|z+1|<2$

Find the Laurent series of function

Choose the correct option:

How to find $a_{20}$ using contour integral?

Laurent expansion of $\sin(z)$ at infinity.

Uniform Convergence Weierstrass' M-Test

Laurent's expansion confusing

Laurent expansion of the Schwarzian derivative

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