Convex hulls and extreme points of some families of multivalent functions (Q1109168)

An objective of this paper is to determine the convex hulls and their extreme points for some classes of p-valent starlike functions in the unit disk that are normalized by the conditions \[ f(z_ 0)=z^ p_ 0,f(z)=a_ 0z^ p+\sum^{\infty}_{k=2}a_ kz^{k+p}, \] \(z_ 0\) being a given complex number, \(z_ 0\neq 0\). These results reduce in the case \(p=1\) to earlier ones due to \textit{M. Fait} and the reviewer [Ann. Univ. Marie Curie-Skłodowska, Sect A 30, 35-41 (1976; Zbl 0413.30010)] or \textit{H. Silverman} [Proc. Am. Math. Soc. 51, 109-116 (1975; Zbl 0311.30007)].