Slit univalent harmonic mappings

Armen Grigoryan

doi:10.1216/RMJ-2016-46-1-169

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Home > Journals > Rocky Mountain J. Math. > Volume 46 > Issue 1 > Article

2016 Slit univalent harmonic mappings

Armen Grigoryan

Rocky Mountain J. Math. 46(1): 169-187 (2016). DOI: 10.1216/RMJ-2016-46-1-169

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Abstract

In this paper we consider the class of complex-valued harmonic univalent functions that map the unit disc onto the complex plane, half-plane or a strip slit along finitely many horizontal half-lines.