ABSTRACT
This chapter explains the relations between univalent functions and the families Fα. The emphasis is on determining the values of a for which a univalent function or a class of univalent functions belongs to Fα. The initial research about univalent functions and integral representations involving measures concerned questions about the extreme points and the convex hulls of various families. The measures which occur in such considerations are probability measures. Two results of this type are given in a theorem, which concerns starlike and convex mappings. The chapter also describes the linear span of the set of analytic univalent functions.
