Subclasses of Harmonic Mappings Defined by Convolution

Santosh B. Joshi and Girish D. Shelake

Journal of Complex Analysis, 2013, vol. 2013, 1-6

Abstract:

Two new subclasses of harmonic univalent functions defined by using convolution and integral convolution are introduced. These subclasses generate several known and new subclasses of harmonic univalent functions as special cases and provide a unified treatment in the study of these classes. Coefficient bounds, extreme points, distortion bounds, convolution conditions, and convex combination are also determined.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnljca:403624

DOI: 10.1155/2013/403624

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