Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1708994 | Applied Mathematics Letters | 2010 | 5 Pages |
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
Authors
Rosihan M. Ali, B. Adolf Stephen, K.G. Subramanian,