List questions from cauchy-integral-formula

Published on 09 Jul 2020 - 11:11

746

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

Published on 11 Jul 2020 - 1:49

53

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Cauchy's Integral Formula for extended Complex plane

Published on 12 Jul 2020 - 0:24

75

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Differentiate complex function inside simple closed curve / analogue of Leibniz's rule

Published on 12 Jul 2020 - 2:44

107

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If $|z|>2$ then $-f(z)=\frac{1}{2\pi i}\int_{z=2}\frac{f(\zeta)}{\zeta-z}d\zeta$

Published on 12 Jul 2020 - 21:19

34

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Expressing $\cos(\varphi)$ using $ z=e^{i \varphi} $

Published on 19 Jul 2020 - 9:37

78

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Use Cauchy formula to solve $\int _0^{2\pi} \frac{dt}{a\cos t+ b\sin t +c} $ given $\sqrt{(a^2+b^2)}=1<c$

Published on 24 Jul 2020 - 14:35

788

Views

Deriving the Cauchy integral formula from the residue theorem

Published on 25 Jul 2020 - 6:06

835

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Proof of Morera's Theorem for Triangular Contours

Published on 25 Jul 2020 - 19:50

286

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Cauchy Theorem for a disk help to undersand

Published on 29 Jul 2020 - 18:05

634

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Understanding when to use residue theorem and when Cauchy's formula to solve integrals

Published on 30 Jul 2020 - 15:59

91

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Finding $n$th derivative in an unusual way

Published on 06 Jul 2016 - 5:16

159

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Value of $\int_{-\infty}^\infty\frac{\cos x}{1+x^2} \, dx$

Published on 16 Jul 2016 - 15:03

947

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Cauchy's Integral Formula implies Holomorphicity?

Published on 21 Jul 2016 - 20:18

1.9k

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Compute the residue of the quotient $\frac{f(z)}{g(z)}$ at $a$.

Published on 01 Aug 2016 - 17:04

List Question

A question about a proof of 'Cauchy integral formula'

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

Cauchy's Integral Formula for extended Complex plane

Differentiate complex function inside simple closed curve / analogue of Leibniz's rule

If $|z|>2$ then $-f(z)=\frac{1}{2\pi i}\int_{z=2}\frac{f(\zeta)}{\zeta-z}d\zeta$

Expressing $\cos(\varphi)$ using $ z=e^{i \varphi} $

Use Cauchy formula to solve $\int _0^{2\pi} \frac{dt}{a\cos t+ b\sin t +c} $ given $\sqrt{(a^2+b^2)}=1<c$

Deriving the Cauchy integral formula from the residue theorem

Proof of Morera's Theorem for Triangular Contours

Cauchy Theorem for a disk help to undersand

Understanding when to use residue theorem and when Cauchy's formula to solve integrals

Finding $n$th derivative in an unusual way

Value of $\int_{-\infty}^\infty\frac{\cos x}{1+x^2} \, dx$

Cauchy's Integral Formula implies Holomorphicity?

Compute the residue of the quotient $\frac{f(z)}{g(z)}$ at $a$.

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