Dynamics of Transcendental Functions

1st Edition

Xin-Hou Hua, Chung-Chun Yang

CRC Press
Published November 26, 1998
Reference - 254 Pages
ISBN 9789056991616 - CAT# TF2920

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Summary

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.

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