Let $S$ denote the functions that are analytic and univalent in the open unit disk and satisfy $f(0) = 0$ and $f\prime(0) = 1$. Also, let $K, St, S_R$, and $C$ be the ...

Random analytic functions are a fundamental object of study in modern complex analysis and probability theory. These functions, often defined through power series with random coefficients, exhibit ...

We consider functions φ having the following properties: φ(0)=1, φ(-t) = φ(t) φ is continuable to a function analytic in the upper halfplane. We discuss the problem under which conditions such a ...