Study of Multivalent Spirallike Bazilevic Functions

Study of Multivalent Spirallike Bazilevic Functions

In this paper, we introduce certain new subclasses of multivalent spirallike Bazilevicfunctions by using the concept of k-uniformly starlikness and k-uniformly convexity. We proveinclusion relations, su cient condition and Fekete-Szego inequality for these classes of functions.Convolution properties...

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Main Authors: Nazar Khan, Ajmal Khan, Qazi Zahoor Ahmad, Bilal Khan, Shahid Khan
Format: Article
Language:English
Published: AIMS Press 2018-09-01
Series:AIMS Mathematics
Subjects:
kpirallike function| Bazilevic functions| multivalent function| necessary and su cientconditions
Online Access:http://www.aimspress.com/article/10.3934/Math.2018.3.353/fulltext.html
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spelling doaj-cba7516a8ee8408dbaf55cf5d90c20f72020-11-24T21:50:09ZengAIMS PressAIMS Mathematics2473-69882018-09-013335336410.3934/Math.2018.3.353Study of Multivalent Spirallike Bazilevic FunctionsNazar Khan0Ajmal Khan1Qazi Zahoor Ahmad2Bilal Khan3Shahid Khan41 Department of Mathematics, Abbottabad University of Science and Technology, Abbottabad, Pakistan1 Department of Mathematics, Abbottabad University of Science and Technology, Abbottabad, Pakistan1 Department of Mathematics, Abbottabad University of Science and Technology, Abbottabad, Pakistan1 Department of Mathematics, Abbottabad University of Science and Technology, Abbottabad, Pakistan2 Department of Mathematics, Riphah International University Islamabad, PakistanIn this paper, we introduce certain new subclasses of multivalent spirallike Bazilevicfunctions by using the concept of k-uniformly starlikness and k-uniformly convexity. We proveinclusion relations, su cient condition and Fekete-Szego inequality for these classes of functions.Convolution properties for these classes are also discussed.http://www.aimspress.com/article/10.3934/Math.2018.3.353/fulltext.htmlkpirallike function| Bazilevic functions| multivalent function| necessary and su cientconditions
collection DOAJ
language English
format Article
sources DOAJ
author Nazar Khan
Ajmal Khan
Qazi Zahoor Ahmad
Bilal Khan
Shahid Khan
spellingShingle Nazar Khan
Ajmal Khan
Qazi Zahoor Ahmad
Bilal Khan
Shahid Khan
Study of Multivalent Spirallike Bazilevic Functions
AIMS Mathematics
kpirallike function| Bazilevic functions| multivalent function| necessary and su cientconditions
author_facet Nazar Khan
Ajmal Khan
Qazi Zahoor Ahmad
Bilal Khan
Shahid Khan
author_sort Nazar Khan
title Study of Multivalent Spirallike Bazilevic Functions
title_short Study of Multivalent Spirallike Bazilevic Functions
title_full Study of Multivalent Spirallike Bazilevic Functions
title_fullStr Study of Multivalent Spirallike Bazilevic Functions
title_full_unstemmed Study of Multivalent Spirallike Bazilevic Functions
title_sort study of multivalent spirallike bazilevic functions
publisher AIMS Press
series AIMS Mathematics
issn 2473-6988
publishDate 2018-09-01
description In this paper, we introduce certain new subclasses of multivalent spirallike Bazilevicfunctions by using the concept of k-uniformly starlikness and k-uniformly convexity. We proveinclusion relations, su cient condition and Fekete-Szego inequality for these classes of functions.Convolution properties for these classes are also discussed.
topic kpirallike function| Bazilevic functions| multivalent function| necessary and su cientconditions
url http://www.aimspress.com/article/10.3934/Math.2018.3.353/fulltext.html
work_keys_str_mv AT nazarkhan studyofmultivalentspirallikebazilevicfunctions
AT ajmalkhan studyofmultivalentspirallikebazilevicfunctions
AT qazizahoorahmad studyofmultivalentspirallikebazilevicfunctions
AT bilalkhan studyofmultivalentspirallikebazilevicfunctions
AT shahidkhan studyofmultivalentspirallikebazilevicfunctions
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