On Uniformly Perfect Boundaries of Stable Domains in Iteration of Meromorphic Functions.

Let f:C→Ĉ be a function which is either transcendental meromorphic or rational with degree at least 2. We discuss the uniform perfectness of the attracting or parabolic cycle of stable domains of f(z), and include a proof that the Julia set of a meromorphic function of finite type is uniformly perfect. 2000 Mathematics Subject Classification 37F10, 37F50, 30D05. [ABSTRACT FROM AUTHOR]