An application of q-calculus to harmonic univalent functions

The purpose of the present paper is to introduce a new subclass of harmonic univalent functions associated with q-calculus. We obtain coefficient conditions, distortion bounds, extreme points, convolution condition and convex combination for functions belonging to this class. We also discuss a cl...

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Bibliographic Details
Main Authors: Saurabh Porwal, Ankita Gupta
Format: Article
Language:English
Published: Penerbit Universiti Kebangsaan Malaysia 2018
Online Access:http://journalarticle.ukm.my/12733/
http://journalarticle.ukm.my/12733/
http://journalarticle.ukm.my/12733/1/jqma-14-1-paper7.pdf
Description
Summary:The purpose of the present paper is to introduce a new subclass of harmonic univalent functions associated with q-calculus. We obtain coefficient conditions, distortion bounds, extreme points, convolution condition and convex combination for functions belonging to this class. We also discuss a class-preserving integral operator and q-Jackson type integral operator for this class of functions.