Faber polynomial coefficient bounds for \(m\)-fold symmetric analytic and bi-univalent functions involving \(q\)-calculus
type: Item
instance of: scholarly article
title: Faber polynomial coefficient bounds for \(m\)-fold symmetric analytic and bi-univalent functions involving \(q\)-calculus
zbMATH Open document ID: 1482.30038
DOI: 10.1155/2021/5232247
author: Zeya Jia
author: Shahid Khan
author: Nazar Khan
author: Bilal Khan
author: Muhammad Asif
published in: Journal of Function Spaces
publication date: 2021-12-16T00:00:00Z
review text: Summary: 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 \(\mathscr{U}=\{z \in \mathbb{C} : |z|<1\}\) and use the Faber polynomial expansion to find upper bounds of \(|a_{mk + 1}|\) and initial coefficient bounds for \(|a_{m + 1}|\) and \(|a_{2m + 1}|\) 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.
Mathematics Subject Classification ID: 30C45
Mathematics Subject Classification ID: 30C50
zbMATH DE Number: 7446733
zbMATH Keywords: classes of analytic functions
zbMATH Keywords: coefficient estimates
zbMATH Keywords: Fekete-Szegő inequalities
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2021/5232247
OpenAlex ID: W3209942887
cites work: Q3660033
cites work: On a Coefficient Problem for Bi-Univalent Functions
cites work: Q3941356
cites work: The minimal distance of the image boundary from the origin and the second coefficient of a univalent function in \(| z| < 1\)
cites work: Q4722307
cites work: Certain subclasses of analytic and bi-univalent functions
cites work: New subclasses of bi-univalent functions
cites work: Coefficient bounds for a subclass of bi-univalent functions
cites work: Faber polynomial coefficient bounds for a subclass of bi-univalent functions
cites work: Q4903878
cites work: Coefficients bounds for certain subclass of biunivalent functions associated with Ruscheweyh \(q\)-differential operator
cites work: Q3533657
cites work: Differential calculus on the Faber polynomials
cites work: Faber polynomial coefficient estimates for a comprehensive subclass of analytic bi-univalent functions
cites work: Q5241959
cites work: Coefficients of Symmetric Functions of Bounded Boundary Rotation
cites work: Initial coefficient bounds for a subclass of \(m\)-fold symmetric bi-univalent functions
cites work: A new general subclass ofm-fold symmetric bi-univalent functions given by subordination
cites work: Unpredictability of the coefficients of \(m\)-fold symmetric bi-starlike functions
cites work: Coefficient bounds for subclasses of m-fold symmetric bi-univalent functions
cites work: A generalization of starlike functions
cites work: Some class of analytic functions related to conic domains
cites work: On strongly Bazilevic functions associated with generalized Robertson functions
cites work: New subclass of \(q\)-starlike functions associated with generalized conic domain
cites work: Coefficient inequalities for \(q\)-starlike functions associated with the Janowski functions
cites work: Some general classes of \(q\)-starlike functions associated with the Janowski functions
cites work: Q5214011
cites work: Hankel and Toeplitz determinant for a subclass of multivalent \(q\)-starlike functions of order \(\alpha\)
cites work: A subclass of univalent functions associated with $q$-analogue of Choi-Saigo-Srivastava operator
cites work: Faber polynomial coefficient estimates for bi-univalent functions defined by subordinations
cites work: Faber polynomial coefficients of bi-subordinate functions
description: scientific article; zbMATH DE number 7446733