General Julia Sets of Non-analytic Families (z{top}-)~n+c

摘要

In this paper we present general Julia sets of non-analytic families (z{top}-)~n+c (n≥2), we also propose some properties of these general Julia sets. Moreover, by iterated function systems theory, we give out two estimations of Hausdorff dimension of these general Julia sets when |c| is sufficient large or sufficient small.