Julia sets of permutable Holomorphic maps Dedicated to Professor Sheng GONG on the occasion of his 75th birthday  

作　　者：SINGH Anand P 

机构地区：[1]Department of Mathematics University of Jammu,Jammu-180006,India

出　　处：《Science China Mathematics》2006年第11期1715-1721,共7页中国科学：数学（英文版）

摘　　要：Let f and g be two permutable transcendental holomorphic maps in the plane.We shall discuss the dynamical properties of f, g and f o g and prove, among other things, that if either f has no wandering domains or f is of bounded type, then the Julia sets of f and f(g) coincide.Let f and g be two permutable transcendental holomorphic maps in the plane. We shall discuss the dynamical properties of f, g and f o g and prove, among other things, that if either f has no wandering domains or f is of bounded type, then the Julia sets of f and f(g) coincide.

关 键 词：Julia set  Fatou set  PERMUTABLE maps. 

分 类 号：O152[理学—数学]