On a subclass related to Bazilevič functions

On a subclass related to Bazilevič functions

The present paper introduces and studies a subclass of analytic functions defined by using the concept of Bazilevič and Janowski functions. Various properties such as coefficient estimates, Fekete-Szegö type inequalities, arc length problem and growth rate of coefficients are investigated for relate...

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Bibliographic Details
Main Authors: Sadaf Umar, Muhammad Arif, Mohsan Raza, See Keong Lee
Format: Article
Language:English
Published: AIMS Press 2020-02-01
Series:AIMS Mathematics
Subjects:
univalent functions
subordination
bazilevič functions
janowski functions
strongly starlike functions
fekete-szeö inequalities
Online Access:https://www.aimspress.com/article/10.3934/math.2020135/fulltext.html
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spelling doaj-569825baa56040f08536401652a28a862020-11-25T03:51:09ZengAIMS PressAIMS Mathematics2473-69882020-02-01532040205610.3934/math.2020135On a subclass related to Bazilevič functionsSadaf Umar0Muhammad Arif1Mohsan Raza2See Keong Lee31 Department of Mathematics, Abdul Wali Khan University Mardan, Mardan 23200, Pakistan1 Department of Mathematics, Abdul Wali Khan University Mardan, Mardan 23200, Pakistan2 Department of Mathematics, Government College University, Faisalabad, Pakistan3 School of Mathematical Sciences, Universiti Sains Malaysia, 11800 USM, Penang, MalaysiaThe present paper introduces and studies a subclass of analytic functions defined by using the concept of Bazilevič and Janowski functions. Various properties such as coefficient estimates, Fekete-Szegö type inequalities, arc length problem and growth rate of coefficients are investigated for related functions.https://www.aimspress.com/article/10.3934/math.2020135/fulltext.htmlunivalent functionssubordinationbazilevič functionsjanowski functionsstrongly starlike functionsfekete-szeö inequalities
collection DOAJ
language English
format Article
sources DOAJ
author Sadaf Umar
Muhammad Arif
Mohsan Raza
See Keong Lee
spellingShingle Sadaf Umar
Muhammad Arif
Mohsan Raza
See Keong Lee
On a subclass related to Bazilevič functions
AIMS Mathematics
univalent functions
subordination
bazilevič functions
janowski functions
strongly starlike functions
fekete-szeö inequalities
author_facet Sadaf Umar
Muhammad Arif
Mohsan Raza
See Keong Lee
author_sort Sadaf Umar
title On a subclass related to Bazilevič functions
title_short On a subclass related to Bazilevič functions
title_full On a subclass related to Bazilevič functions
title_fullStr On a subclass related to Bazilevič functions
title_full_unstemmed On a subclass related to Bazilevič functions
title_sort on a subclass related to bazilevič functions
publisher AIMS Press
series AIMS Mathematics
issn 2473-6988
publishDate 2020-02-01
description The present paper introduces and studies a subclass of analytic functions defined by using the concept of Bazilevič and Janowski functions. Various properties such as coefficient estimates, Fekete-Szegö type inequalities, arc length problem and growth rate of coefficients are investigated for related functions.
topic univalent functions
subordination
bazilevič functions
janowski functions
strongly starlike functions
fekete-szeö inequalities
url https://www.aimspress.com/article/10.3934/math.2020135/fulltext.html
work_keys_str_mv AT sadafumar onasubclassrelatedtobazilevicfunctions
AT muhammadarif onasubclassrelatedtobazilevicfunctions
AT mohsanraza onasubclassrelatedtobazilevicfunctions
AT seekeonglee onasubclassrelatedtobazilevicfunctions
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