Multivalent $\alpha$ — convex harmonic mappings

A. Ganczar

Institute of Mathematics, Maria Curie-Sklodowska University, Lublin

Abstract: In this paper we give coefficient conditions for complex-valued harmonic functions that are ultivalent, sense-preserving and $\alpha$-convex. We determine the extreme points, distortion and covering theorems for these mappings.

UDC: 517.54

Language: English

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