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Keyhole contour integration of $\int_0^{\infty}\frac{z^{1/2}\log(z)}{(1+z)^2}dz$

score 2.3k · Answer 1 · 2026-04-15 09:35:23

2.3k

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Keyhole contour integration of $\int_0^{\infty}\frac{z^{1/2}\log(z)}{(1+z)^2}dz$

Published on 15 Apr 2026 - 9:35

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81

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245

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337

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856

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278

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score 148 · Answer 12 · 2026-04-15 12:47:31

148

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106

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score 750 · Answer 15 · 2026-04-09 03:38:52

750

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List Question

Keyhole contour integration of $\int_0^{\infty}\frac{z^{1/2}\log(z)}{(1+z)^2}dz$

$|f(z)| + \ln|z| \le 0$, is $f = 0$?

Understanding a version of the Phragmén-Lindelöf Principle

Question about open set and a curve homopotic to a point

Very basic derivative question 10

Fourier transform supremum estimate

maximal analytic continuation of a holomorphic germ on riemann surface

Poisson's integral formula for $f'(re^{i\theta})$

Complex series that diverges at three points of $|z|=1$

A non principal ideal in the ring of entire functions.

Proof from Stein and Shakarchi's Complex Analysis that if $\{f_n\}$ converges uniformly compacta to $f$ then so does $\{f_n'\}$ to $f'$

Meromorphic Functions that satisfy a first order algebraic differential equation

Given that $f(z)$ is analytic show that $f(\sqrt{z})$ is also analytic

Help with proof of the Symmetry Principle on extending holomorphic functions on symmetric sets about the real axis

A proof that entire function of order which is a fraction have infinitely many zeros

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