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...

Full description

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
id ukm-12733
recordtype eprints
spelling ukm-127332019-04-03T10:55:23Z http://journalarticle.ukm.my/12733/ An application of q-calculus to harmonic univalent functions Saurabh Porwal, Ankita Gupta, 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. Penerbit Universiti Kebangsaan Malaysia 2018-07 Article PeerReviewed application/pdf en http://journalarticle.ukm.my/12733/1/jqma-14-1-paper7.pdf Saurabh Porwal, and Ankita Gupta, (2018) An application of q-calculus to harmonic univalent functions. Journal of Quality Measurement and Analysis, 14 (1). pp. 81-90. ISSN 1823-5670 http://www.ukm.my/jqma/jqma14_1a.html
repository_type Digital Repository
institution_category Local University
institution Universiti Kebangasaan Malaysia
building UKM Institutional Repository
collection Online Access
language English
description 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.
format Article
author Saurabh Porwal,
Ankita Gupta,
spellingShingle Saurabh Porwal,
Ankita Gupta,
An application of q-calculus to harmonic univalent functions
author_facet Saurabh Porwal,
Ankita Gupta,
author_sort Saurabh Porwal,
title An application of q-calculus to harmonic univalent functions
title_short An application of q-calculus to harmonic univalent functions
title_full An application of q-calculus to harmonic univalent functions
title_fullStr An application of q-calculus to harmonic univalent functions
title_full_unstemmed An application of q-calculus to harmonic univalent functions
title_sort application of q-calculus to harmonic univalent functions
publisher Penerbit Universiti Kebangsaan Malaysia
publishDate 2018
url http://journalarticle.ukm.my/12733/
http://journalarticle.ukm.my/12733/
http://journalarticle.ukm.my/12733/1/jqma-14-1-paper7.pdf
first_indexed 2023-09-18T20:03:16Z
last_indexed 2023-09-18T20:03:16Z
_version_ 1777406990119600128