On the Chebyshev Polynomial for a Certain Class of Analytic Univalent Functions

In this work, by considering the Chebyshev polynomial of the first and second kind, a new subclass of univalent functions is defined. We obtain the coefficient estimate, extreme points, and convolution preserving property. Also, we discuss the radii of starlikeness, convexity, and close-to-convexity...

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Autores principales:	Shahram Najafzadeh, Mugur Acu
Formato:	article
Lenguaje:	EN
Publicado:	Hindawi Limited 2021
Materias:	Mathematics QA1-939
Acceso en línea:	https://doaj.org/article/e39693c2ee4a489887085dcc720445fe
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spelling	oai:doaj.org-article:e39693c2ee4a489887085dcc720445fe2021-11-15T01:19:24ZOn the Chebyshev Polynomial for a Certain Class of Analytic Univalent Functions2314-888810.1155/2021/3716428https://doaj.org/article/e39693c2ee4a489887085dcc720445fe2021-01-01T00:00:00Zhttp://dx.doi.org/10.1155/2021/3716428https://doaj.org/toc/2314-8888In this work, by considering the Chebyshev polynomial of the first and second kind, a new subclass of univalent functions is defined. We obtain the coefficient estimate, extreme points, and convolution preserving property. Also, we discuss the radii of starlikeness, convexity, and close-to-convexity.Shahram NajafzadehMugur AcuHindawi LimitedarticleMathematicsQA1-939ENJournal of Function Spaces, Vol 2021 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Mathematics QA1-939
spellingShingle	Mathematics QA1-939 Shahram Najafzadeh Mugur Acu On the Chebyshev Polynomial for a Certain Class of Analytic Univalent Functions
description	In this work, by considering the Chebyshev polynomial of the first and second kind, a new subclass of univalent functions is defined. We obtain the coefficient estimate, extreme points, and convolution preserving property. Also, we discuss the radii of starlikeness, convexity, and close-to-convexity.
format	article
author	Shahram Najafzadeh Mugur Acu
author_facet	Shahram Najafzadeh Mugur Acu
author_sort	Shahram Najafzadeh
title	On the Chebyshev Polynomial for a Certain Class of Analytic Univalent Functions
title_short	On the Chebyshev Polynomial for a Certain Class of Analytic Univalent Functions
title_full	On the Chebyshev Polynomial for a Certain Class of Analytic Univalent Functions
title_fullStr	On the Chebyshev Polynomial for a Certain Class of Analytic Univalent Functions
title_full_unstemmed	On the Chebyshev Polynomial for a Certain Class of Analytic Univalent Functions
title_sort	on the chebyshev polynomial for a certain class of analytic univalent functions
publisher	Hindawi Limited
publishDate	2021
url	https://doaj.org/article/e39693c2ee4a489887085dcc720445fe
work_keys_str_mv	AT shahramnajafzadeh onthechebyshevpolynomialforacertainclassofanalyticunivalentfunctions AT muguracu onthechebyshevpolynomialforacertainclassofanalyticunivalentfunctions
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On the Chebyshev Polynomial for a Certain Class of Analytic Univalent Functions

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