List questions from analyticity | MathQA

Branch cut of the function log(z + i).

Published on 27 Mar 2026 - 11:46

Is $z \mapsto \int f(x,z) K_z(x) dx$ analytic if $K_z(x)$ is a distribution analytic in the paramter $z$?

Published on 17 Nov 2022 - 9:46

How do I find the principal branch?

Published on 15 Dec 2022 - 17:20

Is $f(x+\epsilon i) \approx f(x)+\epsilon i \frac{d}{dx}f(x)$ approximation valid?

Published on 19 Dec 2022 - 19:46

Find the domain of analyticity of a function $\sum_{n=0}^{+\infty}\frac{(-1)^n}{z-n}_, \ \ \ z\in\mathbb{C}.$

Published on 02 Jan 2023 - 17:41