Lappan's five-point theorem for φ-Normal Harmonic Mappings
Abstract
A harmonic mapping f=h+g in D is -normal if f\#(z)=O(|(z)|), as |z| 1-, where f\#(z)=(|h'(z)|+|g'(z)|)/(1+|f(z)|2). In this paper, we establish several sufficient conditions for harmonic mappings to be -normal. We also extend the five-point theorem of Lappan for -normal harmonic mappings.
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