List questions from complex-integration

Published on 27 Mar 2026 - 22:53

106

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Complex Integrals (No Residue allowed)

Published on 27 Mar 2026 - 22:59

1.4k

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Evaluate the complex integral: $\int_{|z|=1}xdz$

Published on 29 Nov 2015 - 0:51

55

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Integral on a contour curve

Published on 27 Mar 2026 - 22:52

254

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Given $f(z)$ entire function and $\left| f(z) \right| \le 1 + \left| z \right|^3$ for all $z \in \mathbb{C}$ show that $f$ is a polynomial

Published on 27 Mar 2026 - 22:57

124

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Evaluating functions similar to the Bessel functions

Published on 01 Apr 2026 - 11:15

911

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Integrate a function over a contour including infinitely many poles, such as $\int_{|z|=1}1/\sin(1/z)\,dz$

Published on 30 Nov 2015 - 11:38

55

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Complex integral with roots

Published on 27 Mar 2026 - 22:59

635

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Complex Integrate $\int_{-\infty}^{\infty}e^{-|\lambda t|}e^{itx}dt$

Published on 01 Dec 2015 - 17:52

67

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integral of $e^{-\imath x}$ from $a$ to $\infty$ and characteristic functions

Published on 30 Mar 2026 - 4:56

678

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Choosing parametrization for complex integration with two branch cuts

Published on 26 Mar 2026 - 6:03

3.4k

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What is P(Y1−Y2>3) of a given joint density function?

Published on 08 Dec 2015 - 9:12

179

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Integrating $\int_{-1}^{1}\frac{dx}{(x-a)\sqrt{1-x^2}}$

Published on 08 Dec 2015 - 13:25

3.4k

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Cauchy Riemann equation and Harmonic Condition

Published on 08 Dec 2015 - 15:44

7.4k

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Find $P(Y_1≤3/4,Y_2≥1/2)$ of a joint probability density function.

Published on 09 Dec 2015 - 8:32

List Question

If $f(z)$ is entire and $|f(z)| \le \log(2+|z|)$ for every $z \in \Bbb C$ show that $f$ is constant

Complex Integrals (No Residue allowed)

Evaluate the complex integral: $\int_{|z|=1}xdz$

Integral on a contour curve

Given $f(z)$ entire function and $\left| f(z) \right| \le 1 + \left| z \right|^3$ for all $z \in \mathbb{C}$ show that $f$ is a polynomial

Evaluating functions similar to the Bessel functions

Integrate a function over a contour including infinitely many poles, such as $\int_{|z|=1}1/\sin(1/z)\,dz$

Complex integral with roots

Complex Integrate $\int_{-\infty}^{\infty}e^{-|\lambda t|}e^{itx}dt$

integral of $e^{-\imath x}$ from $a$ to $\infty$ and characteristic functions

Choosing parametrization for complex integration with two branch cuts

What is P(Y1−Y2>3) of a given joint density function?

Integrating $\int_{-1}^{1}\frac{dx}{(x-a)\sqrt{1-x^2}}$

Cauchy Riemann equation and Harmonic Condition

Find $P(Y_1≤3/4,Y_2≥1/2)$ of a joint probability density function.

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