List questions from cauchy-integral-formula

Published on 03 Jan 2016 - 11:20

68

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Silly question about sampling a function (distribution vs integral representation)

Published on 13 Jan 2016 - 11:07

762

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Using Cauchy's integral formula to evaluate $\int_0^{2\pi} \frac{1}{a^2 \cdot {\cos}^2(t) + b^2 \cdot {\sin}^2(t)} dt$

Published on 13 Jan 2016 - 17:25

443

Views

Evaluate complex integral using deformation theorem

Published on 22 Jan 2016 - 11:10

333

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which of the following is NOT a possible value of $(e^{f})''(0)$??

Published on 30 Jan 2016 - 7:11

49

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Two different answers with applying the Cauchy integral formula and parametrizing.

Published on 11 Feb 2016 - 21:28

356

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Cauchy's Residue Theorem and Cauchy's Theorem

Published on 13 Feb 2016 - 20:40

60

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Am i evaluating this contour integral correctly?

Published on 14 Feb 2016 - 4:31

139

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Entire function approaching zero along upper half plane

Published on 22 Feb 2016 - 18:49

3.4k

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Find the upper bound of the derivative of an analytic function

Published on 27 Feb 2016 - 1:30

657

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Show that the derivatives of an analytic function cannot satisfy $|f^{(n)}(z)|>n!n^n$ for all $n$ for any $z$ where $f$ is analytic

Published on 28 Feb 2016 - 1:47

972

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How to evaluate the following complex integral

Published on 28 Feb 2016 - 21:30

1.7k

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Analytic function on annulus bounded by $\log 1/|z|$ is zero

Published on 02 Mar 2016 - 6:36

108

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How to calculate $\int_{-\infty}^{\infty}\frac{x \sin x}{x^2+a^2}dx=\pi e^{-a}$ using residue theory.

Published on 02 Mar 2016 - 15:32

177

Views

Trying to solve an integral using Cauchy's Integral Formula

Published on 04 Mar 2016 - 3:52

List Question

Compute an integral using Cauchy's integral formula

Silly question about sampling a function (distribution vs integral representation)

Using Cauchy's integral formula to evaluate $\int_0^{2\pi} \frac{1}{a^2 \cdot {\cos}^2(t) + b^2 \cdot {\sin}^2(t)} dt$

Evaluate complex integral using deformation theorem

which of the following is NOT a possible value of $(e^{f})''(0)$??

Two different answers with applying the Cauchy integral formula and parametrizing.

Cauchy's Residue Theorem and Cauchy's Theorem

Am i evaluating this contour integral correctly?

Entire function approaching zero along upper half plane

Find the upper bound of the derivative of an analytic function

Show that the derivatives of an analytic function cannot satisfy $|f^{(n)}(z)|>n!n^n$ for all $n$ for any $z$ where $f$ is analytic

How to evaluate the following complex integral

Analytic function on annulus bounded by $\log 1/|z|$ is zero

How to calculate $\int_{-\infty}^{\infty}\frac{x \sin x}{x^2+a^2}dx=\pi e^{-a}$ using residue theory.

Trying to solve an integral using Cauchy's Integral Formula

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