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STUDIA MATHEMATICA - Issue no. 2 / 2014 | |||||||
Article: |
HARMONIC UNIFORMLY β-STARLIKE FUNCTIONS OF COMPLEX ORDER DEFINED BY CONVOLUTION AND INTEGRAL CONVOLUTION. Authors: . |
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Abstract:
In this paper we introduce and study a subclass of harmonic univalent functions defined by convolution and integral convolution. Coeficient bounds, extreme points, distortion bounds, convolution conditions and convex combinations are determined for functions in this family. Consequently, many of our results are either extensions or new approaches to those corresponding to previously known results. Mathematics Subject Classification (2010): 30C45, 30C50. Keywords: Harmonic function, analytic function, univalent function, harmonic starlike and convex functions of complex order, convolution.
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