Fekete-Szegö Inequalities of a Subclass of Multivalent Analytic Functions

The main object of this paper is to study Fekete-Szegö problem for a certain subclass of p - valent analytic functions. Fekete-Szegö inequality of several classes are obtained as special cases from our results. Applications of the result are also obtained on the class defined by convolution.

Bibliographic Details
Main Authors: Selvaraj C., Karthikeyan K. R., Lakshmi S.
Format: Article
Language:English
Published: Sciendo 2016-07-01
Series:Annals of the West University of Timisoara: Mathematics and Computer Science
Subjects:
Online Access:https://doi.org/10.1515/awutm-2016-0010
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author Selvaraj C.
Karthikeyan K. R.
Lakshmi S.
author_facet Selvaraj C.
Karthikeyan K. R.
Lakshmi S.
author_sort Selvaraj C.
collection DOAJ
description The main object of this paper is to study Fekete-Szegö problem for a certain subclass of p - valent analytic functions. Fekete-Szegö inequality of several classes are obtained as special cases from our results. Applications of the result are also obtained on the class defined by convolution.
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spelling doaj.art-035c5101f60545ce8a45bf9d74f5115d2022-12-22T00:44:42ZengSciendoAnnals of the West University of Timisoara: Mathematics and Computer Science1841-33072016-07-0154116718310.1515/awutm-2016-0010awutm-2016-0010Fekete-Szegö Inequalities of a Subclass of Multivalent Analytic FunctionsSelvaraj C.0Karthikeyan K. R.1Lakshmi S.2Department of Mathematics, Presidency College (Autonoumous), Chennai-600 005, Tamilnadu, India.Department of Mathematics and Statistics, Caledonian College of Engineering, Muscat, Sultanate of Oman.Department of Mathematics, R.M.K.Engineering College, R.S.M.Nagar, Kavaraipettai-601206, Tamilnadu, India.The main object of this paper is to study Fekete-Szegö problem for a certain subclass of p - valent analytic functions. Fekete-Szegö inequality of several classes are obtained as special cases from our results. Applications of the result are also obtained on the class defined by convolution.https://doi.org/10.1515/awutm-2016-0010fekete-szegö inequlitiesp-valent functionsconvolutionfractional derivatives
spellingShingle Selvaraj C.
Karthikeyan K. R.
Lakshmi S.
Fekete-Szegö Inequalities of a Subclass of Multivalent Analytic Functions
Annals of the West University of Timisoara: Mathematics and Computer Science
fekete-szegö inequlities
p-valent functions
convolution
fractional derivatives
title Fekete-Szegö Inequalities of a Subclass of Multivalent Analytic Functions
title_full Fekete-Szegö Inequalities of a Subclass of Multivalent Analytic Functions
title_fullStr Fekete-Szegö Inequalities of a Subclass of Multivalent Analytic Functions
title_full_unstemmed Fekete-Szegö Inequalities of a Subclass of Multivalent Analytic Functions
title_short Fekete-Szegö Inequalities of a Subclass of Multivalent Analytic Functions
title_sort fekete szego inequalities of a subclass of multivalent analytic functions
topic fekete-szegö inequlities
p-valent functions
convolution
fractional derivatives
url https://doi.org/10.1515/awutm-2016-0010
work_keys_str_mv AT selvarajc feketeszegoinequalitiesofasubclassofmultivalentanalyticfunctions
AT karthikeyankr feketeszegoinequalitiesofasubclassofmultivalentanalyticfunctions
AT lakshmis feketeszegoinequalitiesofasubclassofmultivalentanalyticfunctions