caa a22 4500 386377502 CHVBK 20180307112027.0 cr unu---uuuuu 161130e198906 xx s 000 0 eng 10.1017/S0143385700004995 doi S0143385700004995 pii (NATIONALLICENCE)cambridge-10.1017/S0143385700004995 Keen Linda Department of Mathematics, Lehman College, Bronx, New York, 10468, USA Topology and growth of a special class of holomorphic self-maps of * [Elektronische Daten] [Linda Keen] It is a general problem to find appropriate sets of moduli for families of functions that generate dynamical systems. In this paper we solve this problem for a specific family of holomorphic self-maps of * defined by The main theorem states that any function topologically conjugate to a member of is holomorphically conjugate to some member of the family. It follows that the coefficients of the polynomials P(z) and Q(z) are a suitable set of moduli for the families of dynamical systems generated by these functions. The moduli spaces of functions in are easy to study computationally and have been studied by many authors. (See references in the text.) Copyright © Cambridge University Press 1989 Ergodic Theory and Dynamical Systems Cambridge University Press 9/2(1989-06), 321-328 0143-3857 9:2<321 1989 9 ETS https://doi.org/10.1017/S0143385700004995 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1017/S0143385700004995 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Keen Linda Department of Mathematics, Lehman College, Bronx, New York, 10468, USA NATIONALLICENCE 773 0- Ergodic Theory and Dynamical Systems Cambridge University Press 9/2(1989-06), 321-328 0143-3857 9:2<321 1989 9 ETS CC0 http://creativecommons.org/publicdomain/zero/1.0 nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-cambridge