ABSTRACT

In this extensive work, the authors give a complete self-contained exposition on the subject of classic function theory and the most recent developments in transcendental iteration. They clearly present the theory of iteration of transcendental functions and their analytic and geometric aspects. Attention is concentrated for the first time on the d

chapter Chapter 1|32 pages

Preliminaries

chapter Chapter 2|14 pages

The Fixed Point Theory

chapter Chapter 3|10 pages

The Fatou and Julia sets

chapter Chapter 4|74 pages

The Components of the Fatou Set

chapter |22 pages

Geometry of Julia Sets

chapter |40 pages

Hausdorff Dimension of Julia Sets

chapter |32 pages

Miscellaneous