Dynamics of Transcendental Functions

ISBN-13: 9789056991616 / Angielski / Twarda / 1998 / 254 str.

Xin-Hou Hua; Chung-Chun Yang; Hua Hua

Opis

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 dynamics of transcendental functions to compliment the growing body of work on rational functions. The subjects covered in detail include the fixed point theory, basic properties of Fatou and Julia sets, components of Fatou sets, the geometry of Julia sets, and the Hausdorff dimension of the Julia set.

Spis treści

1. The Fixed Point Theory: Classification of Meromorphic Functions 2. The Fatou and Julia Sets: Completely Invariant Sets 3. The Components of the Fatou Set: Multiply Connected Components 4. Geometry of Julia Sets: Connectivity of Julia Sets 5. Hausdorff Dimension of Julia Sets: Hausdorff Dimension Functions 2. The Fatou and Julia Sets: Completely Invariant Sets 3. Geometry of Julia Sets: Connectivity of Julia Sets 4. The Components of the Fatou Set: Multiply Connected Components 5. Hausdroff Dimension of Julia Sets: Hausdroff Dimension

O autorze

Xin-Hou Hua