List questions from cauchy-principal-value | MathQA

Some clarification about this integration result

Published on 17 Sep 2022 - 13:37

Contour Integral with Multiple Poles

Published on 07 Oct 2022 - 16:40

Average value of complex exponential

Published on 13 Oct 2022 - 15:40

Cauchy principal value: methods

Published on 20 Nov 2022 - 18:06

Can you convolve two generelized functions? how?

Published on 28 Nov 2022 - 12:36

Continuity of Hilbert transform

Published on 28 Nov 2022 - 19:12

$\lim_{\epsilon \rightarrow 0^+} \int_{-1}^1 \frac{f(t)}{t-i\epsilon}dt = \text{PV} \int_{-1}^1 \frac{f(t)}{t} dt + i\pi f(0)$

Published on 28 Dec 2022 - 23:08

How to prove $P \int_{-\infty}^\infty \frac{e^{-ax^2-bx}}{x} dx = -i\pi$?

Published on 16 Jan 2023 - 1:52