Question

Special function $ 1 + \sum_{n=1}^{\infty} n \frac {z^{t(n)}}{t(n)!} $?

score 92 · Answer 1 · 2026-04-29 12:54:18

92

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Special function $ 1 + \sum_{n=1}^{\infty} n \frac {z^{t(n)}}{t(n)!} $?

Published on 29 Apr 2026 - 12:54

score 126 · Answer 2 · 2026-04-16 02:09:41

126

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Show that $e^{\frac{1}{2}\lambda(z+\frac{1}{z})}= a_0 + \sum_{n=1}^\infty a_n(z^n+\frac{1}{z^n})$

Published on 16 Apr 2026 - 2:09

score 186 · Answer 3 · 2026-04-15 11:05:29

186

Views

Most efficient way to calculate Laurent Series of $\frac{1}{1-\cos z}$

Published on 15 Apr 2026 - 11:05

score 494 · Answer 4 · 2026-04-10 03:17:25

494

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What is the Laurent series expansion of $e^{-e^{\frac {1} {z}}}$ about $z=0$?

Published on 10 Apr 2026 - 3:17

score 317 · Answer 5 · 2026-04-15 17:11:18

317

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Calculate $\int_{1}^{-1} |z-1|^2 dz$ along the upper half of the circle $|z|=1$

Published on 15 Apr 2026 - 17:11

score 124 · Answer 6 · 2026-04-10 17:20:19

124

Views

Condution of complex function's one to one

Published on 10 Apr 2026 - 17:20

score 276 · Answer 7 · 2026-04-16 06:06:16

276

Views

Taylor series of $\frac{1}{1-\exp(z-1)}$

Published on 16 Apr 2026 - 6:06

score 146 · Answer 8 · 2026-04-11 06:47:18

146

Views

Mobius Transformation 3 conditions

Published on 11 Apr 2026 - 6:47

score 48 · Answer 9 · 2026-04-16 03:53:20

48

Views

Laurent series of $f(z) = \frac{5}{z^2 + (2i - 1)z - 2i}$

Published on 16 Apr 2026 - 3:53

score 588 · Answer 10 · 2026-04-17 07:26:43

588

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Is there exists a holomorphic function $f:D\to \bar{D}$ with $f(0)=0$ with the property $f(1/3)=1/2$???

Published on 17 Apr 2026 - 7:26

score 408 · Answer 11 · 2026-04-09 00:43:22

408

Views

How to parametrize counterclockwise a triangle?

Published on 09 Apr 2026 - 0:43

score 198 · Answer 12 · 2026-04-11 13:38:50

198

Views

Geometric interpretation of Joukowski transformation

Published on 11 Apr 2026 - 13:38

score 69 · Answer 13 · 2026-04-13 03:33:54

69

Views

What will be the Laurent's series expansion of $e^{f(z)}$ about $z=0$?

Published on 13 Apr 2026 - 3:33

score 945 · Answer 14 · 2026-03-25 14:16:49

945

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Is there a nice general formula for $\int \frac{dx}{x^n-1}$ and/or $\int \frac{dx}{\Phi_n(x)}$?

Published on 25 Mar 2026 - 14:16

score 113 · Answer 15 · 2026-04-14 11:52:25

113

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If $z_1,z_2$ are two complex numbers such that $\vert z_1+z_2\vert=\vert z_1\vert+\vert z_2\vert$,then What is necessary condition?

Published on 14 Apr 2026 - 11:52

List Question

Special function $ 1 + \sum_{n=1}^{\infty} n \frac {z^{t(n)}}{t(n)!} $?

Show that $e^{\frac{1}{2}\lambda(z+\frac{1}{z})}= a_0 + \sum_{n=1}^\infty a_n(z^n+\frac{1}{z^n})$

Most efficient way to calculate Laurent Series of $\frac{1}{1-\cos z}$

What is the Laurent series expansion of $e^{-e^{\frac {1} {z}}}$ about $z=0$?

Calculate $\int_{1}^{-1} |z-1|^2 dz$ along the upper half of the circle $|z|=1$

Condution of complex function's one to one

Taylor series of $\frac{1}{1-\exp(z-1)}$

Mobius Transformation 3 conditions

Laurent series of $f(z) = \frac{5}{z^2 + (2i - 1)z - 2i}$

Is there exists a holomorphic function $f:D\to \bar{D}$ with $f(0)=0$ with the property $f(1/3)=1/2$???

How to parametrize counterclockwise a triangle?

Geometric interpretation of Joukowski transformation

What will be the Laurent's series expansion of $e^{f(z)}$ about $z=0$?

Is there a nice general formula for $\int \frac{dx}{x^n-1}$ and/or $\int \frac{dx}{\Phi_n(x)}$?

If $z_1,z_2$ are two complex numbers such that $\vert z_1+z_2\vert=\vert z_1\vert+\vert z_2\vert$,then What is necessary condition?

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