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ON SUBCLASSES OF HARMONIC UNIVALENT FUNCTIONS DEFINED BY JACKSON (p, q)-DERIVATIVE
Journal article

ON SUBCLASSES OF HARMONIC UNIVALENT FUNCTIONS DEFINED BY JACKSON (p, q)-DERIVATIVE

Abdullah Alsoboh and Maslina Darus
Journal of mathematical analysis, Vol.10(3), pp.123-130
01/01/2019

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
In this paper, we define a new subclasses of harmonic univalent functions associated with Jackson (p, q)-derivative. We give a sufficient condition for functions belong to these classes, also distortion bounds and extreme points are obtained. In addition, we prove the new subclass is closed under convolution and convex combinations.

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