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Volume 32 • Number 3 • 2009 |
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Convolution and Differential Subordination for Multivalent Functions
Shamani Supramaniam, Rosihan M. Ali, See Keong Lee and V. Ravichandran
Abstract.
The general classes of multivalent starlike, convex, close-to-convex and quasi-convex functions are introduced. These classes provide a unified treatment to various known subclasses. Inclusion and convolution properties are derived using the methods of convex hull and differential subordination.
2000 Mathematics Subject Classification: 30C80, 30C45.
Full text: PDF
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