On Bounded Univalent Functions Whose Ranges Contain a Fixed Disk
On Bounded Univalent Functions Whose Ranges Contain a Fixed Disk
Let $\mathcal {S}$ denote the standard normalized class of regular, univalent functions in $K = {K_1} = \{ z:|z| < 1\}$. Let $\mathcal {F}$ be a given compact subclass of $\mathcal {S}$. We consider the following two problems. Problem 1. Find $\max |{a_2}|$ for $f \in \mathcal {F}$. Problem 2. …