Coefficient bounds for subclasses of biunivalent functions associated with the Chebyshev polynomials
type: Item
instance of: scholarly article
title: Coefficient bounds for subclasses of biunivalent functions associated with the Chebyshev polynomials
zbMATH Open document ID: 1400.30022
DOI: 10.1155/2017/4150210
author: G. Richomme
published in: Journal of Complex Analysis
publication date: 2018-10-01T00:00:00Z
review text: Summary: We introduce and investigate new subclasses of biunivalent functions defined in the open unit disk, involving Sălăgean operator associated with Chebyshev polynomials. Furthermore, we find estimates of the first two coefficients of functions in these classes, making use of the Chebyshev polynomials. Also, we give Fekete-Szegö inequalities for these function classes. Several consequences of the results are also pointed out.
Mathematics Subject Classification ID: 30C45
Mathematics Subject Classification ID: 30C50
zbMATH DE Number: 6945695
zbMATH Keywords: new subclasses of biunivalent functions
zbMATH Keywords: Sălăgean operator
zbMATH Keywords: Fekete-Szegö inequalities
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2017/4150210
OpenAlex ID: W2769610160
cites work: Q3660033
cites work: The first and second kind chebyshev coefficients of the moments for the general order derivative on an infinitely differentiable function
cites work: Chebyshev Polynomial Approximations for the L-Membrane Eigenvalue Problem
cites work: Coefficient Estimates for a Class of Star-Like Functions
cites work: Q4722307
cites work: On a Coefficient Problem for Bi-Univalent Functions
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: Certain subclasses of analytic and bi-univalent functions
cites work: A certain subclass of analytic and close-to-convex functions
cites work: Q3167210
cites work: Pascu-type harmonic functions with positive coefficients involving Salagean operator
cites work: Q3312456
cites work: Q4585210
cites work: On the Chebyshev Polynomial Bounds for Classes of Univalent Functions
cites work: Application of Chebyshev polynomials to classes of analytic functions
cites work: New subclasses of bi-univalent functions
cites work: On the Fekete-Szegő problem for classes of bi-univalent functions
description: scientific article; zbMATH DE number 6945695