List questions from uniform-convergence | MathQA

Uniform limit of holomorphic functions on the unit disc

Published on 16 Apr 2026 - 15:08

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

Published on 15 Apr 2026 - 10:05

How can I prove that this subset $C$ is closed in $C[0,1]$?

Published on 21 Apr 2026 - 21:33

Interval of convergence and Uniform convergence of $\sin^n (x)$

Published on 15 Apr 2026 - 6:29

Limit of uniform convergent sequence of injective functions

Published on 14 Apr 2026 - 0:48

Rapidly decaying functions and uniform convergence of their periodic version

Published on 20 Apr 2026 - 10:26

Term-by-term integration theorem

Published on 09 Apr 2026 - 0:04

Check if $f_y(x) = \frac{y \arctan(xy)}{y+1}$ converges uniformly when $y \to + \infty$ and $x \in [1, + \infty)$

Published on 15 Apr 2026 - 12:18

sequence of functions for which the derivative is bounded converges uniformly?

Published on 22 Apr 2026 - 11:29

Analytic continuation of $f(z) = \sum_{n=1}^{\infty} \frac{1}{2^n (z-e^{2\pi i r_n})}$

Published on 09 Apr 2026 - 6:20

Picard's theorem and Cauchy sequences in different norms

Published on 11 Apr 2026 - 13:03

Asymptotic stability implies the existence of a strong Lyapunov function

Published on 09 Apr 2026 - 21:40