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Subclasses of harmonic mappings defined by convolution

✍ Scribed by Rosihan M. Ali; B. Adolf Stephen; K.G. Subramanian

Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
274 KB
Volume
23
Category
Article
ISSN
0893-9659

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✦ Synopsis

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.

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