Question

Local Primitive of Holomorphic Function implies Global Primitive?

score 166 · Answer 1 · 2020-08-16 09:15:53

166

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Local Primitive of Holomorphic Function implies Global Primitive?

Published on 16 Aug 2020 - 9:15

score 953 · Answer 2 · 2020-08-17 05:20:25

953

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If $f$ analytic and $\neq0$ in a simply connected domain, show a single valued analytic branch of $\log f$ is defined on that domain

Published on 17 Aug 2020 - 5:20

score 1.9k · Answer 3 · 2020-08-17 07:06:54

1.9k

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Complex analysis: Definition of contour

Published on 17 Aug 2020 - 7:06

score 40 · Answer 4 · 2026-03-30 01:26:43

40

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Checking the analyticity of a complex function.

Published on 30 Mar 2026 - 1:26

score 79 · Answer 5 · 2020-08-19 02:43:24

79

Views

How to prove sufficient condition for the integral around arc $\Gamma$ on the Bromwich contour?

Published on 19 Aug 2020 - 2:43

score 80 · Answer 6 · 2020-08-19 13:07:27

80

Views

Are my answers correct in evaluating integrals in complex analysis

Published on 19 Aug 2020 - 13:07

score 264 · Answer 7 · 2020-08-19 19:35:15

264

Views

Calculation of $ \int_0^{2\pi} \frac{\sqrt{a^2+2a\cos\theta+1}}{(a\cos\theta+1)^2} d\theta $

Published on 19 Aug 2020 - 19:35

score 84 · Answer 8 · 2020-08-20 15:58:12

84

Views

Integration of a part of the circle

Published on 20 Aug 2020 - 15:58

score 69 · Answer 9 · 2020-08-21 22:29:46

69

Views

For $R>0$ , let $\gamma_R$ the arc of circumference with center in 0 and radius R (from R to -R), contained in upper half-plane.

Published on 21 Aug 2020 - 22:29

score 41 · Answer 10 · 2020-08-22 03:23:22

41

Views

For $R>0$ , $D_R=\{ z\in \mathbb{C} | |z|< R \}$. Let, $f,g: D_R \rightarrow \mathbb{C}$ analytic functions such that never are 0 in $D_R$.

Published on 22 Aug 2020 - 3:23

score 70 · Answer 11 · 2020-08-27 18:11:45

70

Views

Clarification on winding number computation

Published on 27 Aug 2020 - 18:11

score 78 · Answer 12 · 2020-08-28 03:05:17

78

Views

Computing $\int_{|z|=1} \overline{f(z)} f'(z)dz$ for $f(z)=\frac{z-a}{1-\overline{a}z}$ with $|a|<1$.

Published on 28 Aug 2020 - 3:05

score 157 · Answer 13 · 2026-03-28 11:34:21

157

Views

Can Laurent series be thought as an orthonormal series expansion?

Published on 28 Mar 2026 - 11:34

score 57 · Answer 14 · 2020-08-28 15:52:38

57

Views

Integral of a complex gaussian + inverse gaussian integral

Published on 28 Aug 2020 - 15:52

score 67 · Answer 15 · 2020-09-01 23:13:51

67

Views

Solving the Fractional Fourier Integral Transform of $e^{j \omega_{0} t}$

Published on 01 Sep 2020 - 23:13

List Question

Local Primitive of Holomorphic Function implies Global Primitive?

If $f$ analytic and $\neq0$ in a simply connected domain, show a single valued analytic branch of $\log f$ is defined on that domain

Complex analysis: Definition of contour

Checking the analyticity of a complex function.

How to prove sufficient condition for the integral around arc $\Gamma$ on the Bromwich contour?

Are my answers correct in evaluating integrals in complex analysis

Calculation of $ \int_0^{2\pi} \frac{\sqrt{a^2+2a\cos\theta+1}}{(a\cos\theta+1)^2} d\theta $

Integration of a part of the circle

For $R>0$ , let $\gamma_R$ the arc of circumference with center in 0 and radius R (from R to -R), contained in upper half-plane.

For $R>0$ , $D_R=\{ z\in \mathbb{C} | |z|< R \}$. Let, $f,g: D_R \rightarrow \mathbb{C}$ analytic functions such that never are 0 in $D_R$.

Clarification on winding number computation

Computing $\int_{|z|=1} \overline{f(z)} f'(z)dz$ for $f(z)=\frac{z-a}{1-\overline{a}z}$ with $|a|<1$.

Can Laurent series be thought as an orthonormal series expansion?

Integral of a complex gaussian + inverse gaussian integral

Solving the Fractional Fourier Integral Transform of $e^{j \omega_{0} t}$

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