ABSTRACT

The theory of univalent functions is one of the most beautiful subjects in geometric function theory. Its origins (apart from the Riemann mapping theorem) can be traced to the 1907 paper of Koebe [Koe], to Gronwall's proof of the area theorem in 1914 [Gro], and to Bieberbach's estimate for the second coefficient of a normalized univalent function in 1916 and its consequences [Biel]. By then, univalent function theory was a subject in its own right.