On maximum modulus points and the zero set for an entire function of either zero or infinite order
Let \(f\) be an entire function. Let \(w\) be a point such that \(| f (w)| = \max \{| f (z)| : | z| = | w| \}\) and \(R(w,f)\) be the distance between the point \(w\) and the zero set of \(f.\) The author has obtained the asymptotic estimates for the function \(R(w,f), | w| \to \infty,\) when \(f\) is the entire function of either zero or infinite order.
scientific article; zbMATH DE number 2186784