List questions from analytic-functions | MathQA

If any $n$-degree polynomial intersects $f$ at no more than $n+1$ then $f$ has all its derivatives positive.

Published on 16 Jan 2023 - 15:47

Is there any simple set of properties that uniquely characterizes differentiation in the space of complex functions?

Published on 17 Jan 2023 - 1:16

Are Characteristic Functions Analytic?

Published on 18 Jan 2023 - 3:33

Is $\text{PSL}_2(\mathbb{R})$ the automorphism group of the upper half plane?

Published on 18 Jan 2023 - 12:31

Can the complex function $f(z) = \sqrt[n]{r^n - z^n}$ be analytically continued to fill the complex plane?

Published on 28 Mar 2026 - 5:22