6 problems

For every entire function $F$ of order $\rho$ with $0<\rho<\tfrac12$, the deficiency of $0$ as a value of its logarithmic derivative vanishes:…

Let $\mathbb{H}=\{z\in\mathbb{C}:\operatorname{Im}z>0\}$, and let $N(\mathbb{H})$ be the class of meromorphic functions on $\mathbb{H}$ that are quotients of two bounded analytic f…

Brück's conjecture. If

Zhang et al.'s conjecture. If $f$ and $\Delta^n f$ share $0$ CM, then $f$ has the form

Liu–Laine's conjecture. If $f$ and $\Delta_c^n f$ share $a\in\mathbb{C}\backslash\{0\}$ CM, then

Orbifold Cartan conjecture. If