Basic coefficient inequalities

Abstract

There are many books that systematically present coefficient problems in geometric function theory. We refer the reader to the excellent monographs by Goluzin [70], Goodman [73], Hayman [78], Pommerenke [128], and Duren [60]. In this chapter we only mention a few classical results on coefficients which are closely connected with the topic of this book. Also, we give several new facts with short proofs that have until now been presented only in original papers. © 2009 Birkhäuser Verlag AG.