Taylor Coefficients of the Conformal Map for the Exterior of the Reciprocal of the Multibrot Set

Abstract

In this paper we investigate normalized conformal mappings of the exterior of the reciprocal of the Multibrot set and analyze the growth of the denominator of the coefficients. Our inequality improves Ewing and Schober's result which was presented in [6]. We use the coefficient formula of [13]. The straightforward adaptation of the proof in this paper slightly improves the main theorem of [12].