Abstract

Letf be meromorphic in the open unit discD and strongly normal; that is, $$(1 - |z|^2 )f^\# (z) \to 0as|z| \to 1,$$ Wheref # denotes the spherical derivative off. We prove results about the existence of asymptotic values off at points ofC=∂D. For example,f has asymptotic values at an uncountably dense subset ofC, and the asymptotic values off form a set of positive linear measure.

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