List questions from complex-integration

Published on 31 May 2018 - 16:08

491

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What is the Laurent series expansion of $e^{-e^{\frac {1} {z}}}$ about $z=0$?

Published on 03 Jun 2018 - 8:11

147

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Calculate complex curve integral

Published on 25 Mar 2026 - 20:07

1.4k

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What does $\int dz \,d\bar z\,\partial_z \,f(z,\bar z)$ evaluate to?

Published on 07 Jun 2018 - 23:58

72

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$\frac{1}{2 \pi i} \int_{|z|=4} z \frac{f'(z)}{f(z)}dz$

Published on 11 Jun 2018 - 16:05

670

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integrating 1/(cos(z)-1) over a circle with radius 7

Published on 11 Jun 2018 - 19:08

487

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Cauchy integral, why is it equal zero?

Published on 25 Mar 2026 - 18:42

476

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Integral $\int_0^{\pi} \frac{\cos(2018x)}{5-4\cos{x}}dx$

Published on 15 Jun 2018 - 7:50

70

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Integration by u subsitution

Published on 15 Jun 2018 - 14:57

33

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Complex Integral with Similar Integrands Yielding Very Different Results

Published on 15 Jun 2018 - 18:24

91

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Solve synthesis equation for Dirac delta function in a direct way

Published on 25 Mar 2026 - 8:08

188

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For $a>0$ compute $\int_0^\infty \frac{\log x}{(a + x)^3}\,dx$

Published on 21 Jun 2018 - 18:16

177

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Is there a double integral lurking in this proof?

Published on 25 Mar 2026 - 1:36

98

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Is there a way to simplify integrals of the form $\int_{-\infty}^\infty \frac{x \sin(kx)}{(x^2+b^2)^{3/2}}dx$?

Published on 24 Jun 2018 - 6:55

106

Views

Not sure why the complex part of this integral is zero

Published on 25 Jun 2018 - 9:14

List Question

Complex integral of the modulus of a polynomial

What is the Laurent series expansion of $e^{-e^{\frac {1} {z}}}$ about $z=0$?

Calculate complex curve integral

What does $\int dz \,d\bar z\,\partial_z \,f(z,\bar z)$ evaluate to?

$\frac{1}{2 \pi i} \int_{|z|=4} z \frac{f'(z)}{f(z)}dz$

integrating 1/(cos(z)-1) over a circle with radius 7

Cauchy integral, why is it equal zero?

Integral $\int_0^{\pi} \frac{\cos(2018x)}{5-4\cos{x}}dx$

Integration by u subsitution

Complex Integral with Similar Integrands Yielding Very Different Results

Solve synthesis equation for Dirac delta function in a direct way

For $a>0$ compute $\int_0^\infty \frac{\log x}{(a + x)^3}\,dx$

Is there a double integral lurking in this proof?

Is there a way to simplify integrals of the form $\int_{-\infty}^\infty \frac{x \sin(kx)}{(x^2+b^2)^{3/2}}dx$?

Not sure why the complex part of this integral is zero

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