Article ID Journal Published Year Pages File Type
1708994 Applied Mathematics Letters 2010 5 Pages PDF
Abstract

Two new subclasses of harmonic univalent functions defined by convolution are introduced. The subclasses generate a number of known subclasses of harmonic mappings, and thus provide a unified treatment in the study of these subclasses. Sufficient coefficient conditions are obtained that are shown to be also necessary when the analytic parts of the harmonic functions have negative coefficients. Growth estimates and extreme points are also determined.

Related Topics
Physical Sciences and Engineering Engineering Computational Mechanics
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