International Journal of Mathematics and Mathematical Sciences
Volume 2 (1979), Issue 2, Pages 163-186
doi:10.1155/S016117127900017X

An invitation to the study of univalent and multivalent functions

A.W. Goodman

Department of Mathematics, University of South Florida, Tampa 33620, Florida, USA

Abstract

We begin with the basic definition and some very simple examples from the theory of univalent functions. After a brief look at the literature, we survey the progress that has been made on certain problems in this field. The article ends with a few open questions.