On Böttcher coordinates and quasiregular maps

摘要: It is well-known that a polynomial f(z) = adzd(1 + o(1)) can be conjugated by holomorphic map � to w 7! wd in neighbourhood of in�nity. This called Bottcher coordinate for f near In this paper we construct type compositions a�ne mappings and polynomials, class �rst studied [9]. As an application, prove if h c 2 C, then h(z)2 +c not uniformly quasiregular.