Uniformly Alpha-Quasi-Convex Functions Defined by Janowski Functions

In this work, we aim to introduce and study a new subclass of analytic functions related to the oval and petal type domain. This includes various interesting properties such as integral representation, sufficiency criteria, inclusion results, and the convolution properties for newly introduced class...

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Main Authors: Shahid Mahmood, Sarfraz Nawaz Malik, Sumbal Farman, S. M. Jawwad Riaz, Shabieh Farwa
Format: Article
Language:English
Published: Wiley 2018-01-01
Series:Journal of Function Spaces
Online Access:http://dx.doi.org/10.1155/2018/6049512
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author Shahid Mahmood
Sarfraz Nawaz Malik
Sumbal Farman
S. M. Jawwad Riaz
Shabieh Farwa
author_facet Shahid Mahmood
Sarfraz Nawaz Malik
Sumbal Farman
S. M. Jawwad Riaz
Shabieh Farwa
author_sort Shahid Mahmood
collection DOAJ
description In this work, we aim to introduce and study a new subclass of analytic functions related to the oval and petal type domain. This includes various interesting properties such as integral representation, sufficiency criteria, inclusion results, and the convolution properties for newly introduced class.
format Article
id doaj-art-fa1b6def56f4457fb8761a92cdf70538
institution Kabale University
issn 2314-8896
2314-8888
language English
publishDate 2018-01-01
publisher Wiley
record_format Article
series Journal of Function Spaces
spelling doaj-art-fa1b6def56f4457fb8761a92cdf705382025-02-03T01:32:17ZengWileyJournal of Function Spaces2314-88962314-88882018-01-01201810.1155/2018/60495126049512Uniformly Alpha-Quasi-Convex Functions Defined by Janowski FunctionsShahid Mahmood0Sarfraz Nawaz Malik1Sumbal Farman2S. M. Jawwad Riaz3Shabieh Farwa4Department of Mechanical Engineering, Sarhad University of Science and Information Technology, Ring Road, Peshawar, PakistanDepartment of Mathematics, COMSATS Institute of Information Technology, Wah Cantt, PakistanDepartment of Mathematics, COMSATS Institute of Information Technology, Wah Cantt, PakistanDepartment of Mathematics, COMSATS Institute of Information Technology, Wah Cantt, PakistanDepartment of Mathematics, COMSATS Institute of Information Technology, Wah Cantt, PakistanIn this work, we aim to introduce and study a new subclass of analytic functions related to the oval and petal type domain. This includes various interesting properties such as integral representation, sufficiency criteria, inclusion results, and the convolution properties for newly introduced class.http://dx.doi.org/10.1155/2018/6049512
spellingShingle Shahid Mahmood
Sarfraz Nawaz Malik
Sumbal Farman
S. M. Jawwad Riaz
Shabieh Farwa
Uniformly Alpha-Quasi-Convex Functions Defined by Janowski Functions
Journal of Function Spaces
title Uniformly Alpha-Quasi-Convex Functions Defined by Janowski Functions
title_full Uniformly Alpha-Quasi-Convex Functions Defined by Janowski Functions
title_fullStr Uniformly Alpha-Quasi-Convex Functions Defined by Janowski Functions
title_full_unstemmed Uniformly Alpha-Quasi-Convex Functions Defined by Janowski Functions
title_short Uniformly Alpha-Quasi-Convex Functions Defined by Janowski Functions
title_sort uniformly alpha quasi convex functions defined by janowski functions
url http://dx.doi.org/10.1155/2018/6049512
work_keys_str_mv AT shahidmahmood uniformlyalphaquasiconvexfunctionsdefinedbyjanowskifunctions
AT sarfraznawazmalik uniformlyalphaquasiconvexfunctionsdefinedbyjanowskifunctions
AT sumbalfarman uniformlyalphaquasiconvexfunctionsdefinedbyjanowskifunctions
AT smjawwadriaz uniformlyalphaquasiconvexfunctionsdefinedbyjanowskifunctions
AT shabiehfarwa uniformlyalphaquasiconvexfunctionsdefinedbyjanowskifunctions