Faber Polynomial Coefficient Bounds for m-Fold Symmetric Analytic and Bi-univalent Functions Involving q-Calculus

In our present investigation, by applying q-calculus operator theory, we define some new subclasses of m-fold symmetric analytic and bi-univalent functions in the open unit disk U=z∈ℂ:z<1 and use the Faber polynomial expansion to find upper bounds of amk+1 and initial coefficient bounds for am+1...

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Autores principales:	Zeya Jia, Shahid Khan, Nazar Khan, Bilal Khan, Muhammad Asif
Formato:	article
Lenguaje:	EN
Publicado:	Hindawi Limited 2021
Materias:	Mathematics QA1-939
Acceso en línea:	https://doaj.org/article/a52813c830334160a6fd5a4ac23332fd
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spelling	oai:doaj.org-article:a52813c830334160a6fd5a4ac23332fd2021-11-08T02:37:30ZFaber Polynomial Coefficient Bounds for m-Fold Symmetric Analytic and Bi-univalent Functions Involving q-Calculus2314-888810.1155/2021/5232247https://doaj.org/article/a52813c830334160a6fd5a4ac23332fd2021-01-01T00:00:00Zhttp://dx.doi.org/10.1155/2021/5232247https://doaj.org/toc/2314-8888In our present investigation, by applying q-calculus operator theory, we define some new subclasses of m-fold symmetric analytic and bi-univalent functions in the open unit disk U=z∈ℂ:z<1 and use the Faber polynomial expansion to find upper bounds of amk+1 and initial coefficient bounds for am+1 and a2m+1 as well as Fekete-Szego inequalities for the functions belonging to newly defined subclasses. Also, we highlight some new and known corollaries of our main results.Zeya JiaShahid KhanNazar KhanBilal KhanMuhammad AsifHindawi LimitedarticleMathematicsQA1-939ENJournal of Function Spaces, Vol 2021 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Mathematics QA1-939
spellingShingle	Mathematics QA1-939 Zeya Jia Shahid Khan Nazar Khan Bilal Khan Muhammad Asif Faber Polynomial Coefficient Bounds for m-Fold Symmetric Analytic and Bi-univalent Functions Involving q-Calculus
description	In our present investigation, by applying q-calculus operator theory, we define some new subclasses of m-fold symmetric analytic and bi-univalent functions in the open unit disk U=z∈ℂ:z<1 and use the Faber polynomial expansion to find upper bounds of amk+1 and initial coefficient bounds for am+1 and a2m+1 as well as Fekete-Szego inequalities for the functions belonging to newly defined subclasses. Also, we highlight some new and known corollaries of our main results.
format	article
author	Zeya Jia Shahid Khan Nazar Khan Bilal Khan Muhammad Asif
author_facet	Zeya Jia Shahid Khan Nazar Khan Bilal Khan Muhammad Asif
author_sort	Zeya Jia
title	Faber Polynomial Coefficient Bounds for m-Fold Symmetric Analytic and Bi-univalent Functions Involving q-Calculus
title_short	Faber Polynomial Coefficient Bounds for m-Fold Symmetric Analytic and Bi-univalent Functions Involving q-Calculus
title_full	Faber Polynomial Coefficient Bounds for m-Fold Symmetric Analytic and Bi-univalent Functions Involving q-Calculus
title_fullStr	Faber Polynomial Coefficient Bounds for m-Fold Symmetric Analytic and Bi-univalent Functions Involving q-Calculus
title_full_unstemmed	Faber Polynomial Coefficient Bounds for m-Fold Symmetric Analytic and Bi-univalent Functions Involving q-Calculus
title_sort	faber polynomial coefficient bounds for m-fold symmetric analytic and bi-univalent functions involving q-calculus
publisher	Hindawi Limited
publishDate	2021
url	https://doaj.org/article/a52813c830334160a6fd5a4ac23332fd
work_keys_str_mv	AT zeyajia faberpolynomialcoefficientboundsformfoldsymmetricanalyticandbiunivalentfunctionsinvolvingqcalculus AT shahidkhan faberpolynomialcoefficientboundsformfoldsymmetricanalyticandbiunivalentfunctionsinvolvingqcalculus AT nazarkhan faberpolynomialcoefficientboundsformfoldsymmetricanalyticandbiunivalentfunctionsinvolvingqcalculus AT bilalkhan faberpolynomialcoefficientboundsformfoldsymmetricanalyticandbiunivalentfunctionsinvolvingqcalculus AT muhammadasif faberpolynomialcoefficientboundsformfoldsymmetricanalyticandbiunivalentfunctionsinvolvingqcalculus
_version_	1718443028250624000

Faber Polynomial Coefficient Bounds for m-Fold Symmetric Analytic and Bi-univalent Functions Involving q-Calculus

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