Question

Determine the residuals in all isolated singularities of the function $ f (z) = \tan ^ 3 (z) $

score 121 · Answer 1 · 2019-11-20 17:07:02

121

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Determine the residuals in all isolated singularities of the function $ f (z) = \tan ^ 3 (z) $

Published on 20 Nov 2019 - 17:07

score 34 · Answer 2 · 2019-11-21 05:51:12

34

Views

Laurent Series of $~\dfrac{ze^z}{z-1}~$

Published on 21 Nov 2019 - 5:51

score 142 · Answer 3 · 2026-03-26 06:29:48

142

Views

Coefficient of Multiplication of Two Laurent Series

Published on 26 Mar 2026 - 6:29

score 78 · Answer 4 · 2026-03-26 04:53:49

78

Views

Residue of $e^{\frac{z-2}{z(z-1)}}$ at $z=0$

Published on 26 Mar 2026 - 4:53

score 46 · Answer 5 · 2019-11-26 02:52:03

46

Views

Questions on a function $f$ holomorphic on $\mathbb{C} \backslash \{z_1, ..., z_M\}$

Published on 26 Nov 2019 - 2:52

score 64 · Answer 6 · 2019-11-26 04:31:03

64

Views

$f$ holomorphic in an annulus $A(R) = \{ z \in \mathbb{C} : |z| > R\}$

Published on 26 Nov 2019 - 4:31

score 66 · Answer 7 · 2019-11-26 15:50:21

66

Views

Expand $f(z) = {(z+1)^2\over z(z^3+1)}$ in a Laurent series about $z = 0$

Published on 26 Nov 2019 - 15:50

score 83 · Answer 8 · 2019-12-01 20:13:36

83

Views

How to apply cauchy's residue theorem to rational function?

Published on 01 Dec 2019 - 20:13

score 72 · Answer 9 · 2019-12-03 17:13:28

72

Views

Regarding application of Laurent series in analytic number theory to deduce absolute convergence

Published on 03 Dec 2019 - 17:13

score 52 · Answer 10 · 2019-12-06 11:15:38

52

Views

What is the Laurent series of function $f(z)= 1 / (1- z ^2)$ with centre at $z=1$?

Published on 06 Dec 2019 - 11:15

score 38 · Answer 11 · 2019-12-08 14:46:46

38

Views

prove that, if $a \notin \mathbb{Z}$, $a>0$ so

Published on 08 Dec 2019 - 14:46

score 36 · Answer 12 · 2019-12-13 08:01:41

Conformal map that maps $\Bbb C−\{0\}$ onto itself is of the form $az$ for some $a ∈ \Bbb C−\{0\}$, or $zb$ for some $b ∈ \Bbb C − \{0\}$

score 207 · Answer 13 · 2019-12-13 14:19:00

207

Views

Looking for a proof for the value of the residue.

Published on 13 Dec 2019 - 14:19

score 117 · Answer 14 · 2019-12-22 23:11:34

117

Views

Finding residues in a complex integral $\int_0^\infty\frac{z^6\,\mathrm{d}z}{(z^4+1)^2}$ using Laurent series expansion

Published on 22 Dec 2019 - 23:11

score 27 · Answer 15 · 2019-12-26 09:00:55

27

Views

Conditions of an infinite series formula

Published on 26 Dec 2019 - 9:00

List Question

Determine the residuals in all isolated singularities of the function $ f (z) = \tan ^ 3 (z) $

Laurent Series of $~\dfrac{ze^z}{z-1}~$

Coefficient of Multiplication of Two Laurent Series

Residue of $e^{\frac{z-2}{z(z-1)}}$ at $z=0$

Questions on a function $f$ holomorphic on $\mathbb{C} \backslash \{z_1, ..., z_M\}$

$f$ holomorphic in an annulus $A(R) = \{ z \in \mathbb{C} : |z| > R\}$

Expand $f(z) = {(z+1)^2\over z(z^3+1)}$ in a Laurent series about $z = 0$

How to apply cauchy's residue theorem to rational function?

Regarding application of Laurent series in analytic number theory to deduce absolute convergence

What is the Laurent series of function $f(z)= 1 / (1- z ^2)$ with centre at $z=1$?

prove that, if $a \notin \mathbb{Z}$, $a>0$ so

Conformal map that maps $\Bbb C−\{0\}$ onto itself is of the form $az$ for some $a ∈ \Bbb C−\{0\}$, or $zb$ for some $b ∈ \Bbb C − \{0\}$

Looking for a proof for the value of the residue.

Finding residues in a complex integral $\int_0^\infty\frac{z^6\,\mathrm{d}z}{(z^4+1)^2}$ using Laurent series expansion

Conditions of an infinite series formula

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