Iteration of rational functions. Complex analytic dynamical systems. Paperback ed. (English) Zbl 1120.30300

Beardon, Alan F.

Graduate Texts in Mathematics 132. New York, NY: Springer (ISBN 0-387-95151-2/pbk). xiii, 280 p. (2000).

See the review of the first edition (1991) in Zbl 0742.30002.

MSC:

30-02	Research exposition (monographs, survey articles) pertaining to functions of a complex variable
30D05	Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable
30-01	Introductory exposition (textbooks, tutorial papers, etc.) pertaining to functions of a complex variable
37Fxx	Dynamical systems over complex numbers
26C15	Real rational functions

Keywords:

normal family; invariant set; iteration theory; rational functions; Julia sets; Fatou set; periodic points; fixed points; Hausdorff dimension

Citations:

Zbl 0742.30002