Question

Small Question regarding contour integration of $\int_{1=|z-i|} \frac {1}{z^2+1}dz$

score 49 · Answer 1 · 2024-01-30 18:25:30

49

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Small Question regarding contour integration of $\int_{1=|z-i|} \frac {1}{z^2+1}dz$

Published on 30 Jan 2024 - 18:25

score 43 · Answer 2 · 2024-01-31 13:35:13

43

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Integration using Cauchy's theorem vs numerical method

Published on 31 Jan 2024 - 13:35

score 39 · Answer 3 · 2024-02-02 10:09:37

39

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Resolvent integral formula for defective matrices

Published on 02 Feb 2024 - 10:09

score 253 · Answer 4 · 2024-02-03 05:39:47

253

Views

The proof about Cauchy's Integral Formula in Ahlfors' Complex Analysis

Published on 03 Feb 2024 - 5:39

score 49 · Answer 5 · 2024-02-07 09:52:59

49

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expansion of real asymmetric integral on complex plane

Published on 07 Feb 2024 - 9:52

score 99 · Answer 6 · 2024-02-14 14:18:28

99

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Proof of Cauchy's theorem for punctured domains.

Published on 14 Feb 2024 - 14:18

score 40 · Answer 7 · 2026-03-25 08:10:53

40

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An improper integral of an inverse of a square root of a higher degree polynomial.

Published on 25 Mar 2026 - 8:10

score 220 · Answer 8 · 2024-02-15 13:36:31

220

Views

Mistakes in proving $\int_{\gamma}\frac{dz}{z-a}=2k\pi i$ in Ahlfors' Complex Analysis

Published on 15 Feb 2024 - 13:36

score 59 · Answer 9 · 2024-02-21 16:17:40

59

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$f$ be holomorphic on $\mathbb{D}$, continuous on > $\overline{\mathbb{D}}$ s.t $|f(z)|=1$ whenever $|z|=1$.

Published on 21 Feb 2024 - 16:17

score 46 · Answer 10 · 2026-03-25 19:09:52

46

Views

Understanding the proof of Theorem 10.1 in Montgomery & Vaughan's Multiplicative Number Theory

Published on 25 Mar 2026 - 19:09

score 57 · Answer 11 · 2024-03-03 06:49:55

57

Views

Understanding how to compute $\int_{0}^{+\infty} \frac{\sin t}{t}dt $ via complex integration.

Published on 03 Mar 2024 - 6:49

score 80 · Answer 12 · 2024-03-03 07:31:47

80

Views

Evaluate the integral $\int_{\gamma} \frac{z^2+1}{(z+1)(z+4)}dz$

Published on 03 Mar 2024 - 7:31

score 28 · Answer 13 · 2024-03-07 01:45:45

28

Views

Cauchy Integral Formula and the Dirichlet Problem

Published on 07 Mar 2024 - 1:45

score 53 · Answer 14 · 2024-03-07 13:28:50

53

Views

How is Ahlfors applying Cauchy's Integral Formula when deriving Taylor's Theorem?

Published on 07 Mar 2024 - 13:28

score 132 · Answer 15 · 2024-03-08 23:48:18

132

Views

Given f holomorphic on $B_1(0)$ and $max_{z \in C_r(0)} |f(z)| \to 0$ as $r \to 1$. Show f is identically 0.

Published on 08 Mar 2024 - 23:48

List Question

Small Question regarding contour integration of $\int_{1=|z-i|} \frac {1}{z^2+1}dz$

Integration using Cauchy's theorem vs numerical method

Resolvent integral formula for defective matrices

The proof about Cauchy's Integral Formula in Ahlfors' Complex Analysis

expansion of real asymmetric integral on complex plane

Proof of Cauchy's theorem for punctured domains.

An improper integral of an inverse of a square root of a higher degree polynomial.

Mistakes in proving $\int_{\gamma}\frac{dz}{z-a}=2k\pi i$ in Ahlfors' Complex Analysis

$f$ be holomorphic on $\mathbb{D}$, continuous on > $\overline{\mathbb{D}}$ s.t $|f(z)|=1$ whenever $|z|=1$.

Understanding the proof of Theorem 10.1 in Montgomery & Vaughan's Multiplicative Number Theory

Understanding how to compute $\int_{0}^{+\infty} \frac{\sin t}{t}dt $ via complex integration.

Evaluate the integral $\int_{\gamma} \frac{z^2+1}{(z+1)(z+4)}dz$

Cauchy Integral Formula and the Dirichlet Problem

How is Ahlfors applying Cauchy's Integral Formula when deriving Taylor's Theorem?

Given f holomorphic on $B_1(0)$ and $max_{z \in C_r(0)} |f(z)| \to 0$ as $r \to 1$. Show f is identically 0.

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