Premium
Repulsive Fixpoints of Analytic Functions with Applications to Complex Dynamics
Author(s) -
Essén Matts,
Wu Shengjian
Publication year - 2000
Publication title -
journal of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.441
H-Index - 62
eISSN - 1469-7750
pISSN - 0024-6107
DOI - 10.1112/s0024610700001149
Subject(s) - dynamics (music) , statistical physics , physics , acoustics
Let G be a family of functions analytic in a domain D in the complex plane. It is proved that G is a normal family, provided that for each f ∈G, there exists k = k ( f ) > 1 such that the k th iterate f k has no repulsive fixpoint in D . A new proof of a result of Bergweiler and Terglane concerning the dynamics of entire functions is also given.