Fekete-Szegö inequality for analytic and bi-univalent functions subordinate to Chebyshev polynomials (original) (raw)
Related papers
Boletín de la Sociedad Matemática Mexicana, 2019
Our objective in this paper is to introduce and investigate a newly-constructed subclass of normalized analytic and bi-univalent functions by means of the Chebyshev polynomials of the second kind. Upper bounds for the second and third Taylor-Maclaurin coefficients, and also Fekete-Szegö inequalities of functions belonging to this subclass are founded. Several connections to some of the earlier known results are also pointed out.
Estimation of coefficient bounds for a subclass of analytic functions using Chebyshev polynomials
THE 11TH NATIONAL CONFERENCE ON MATHEMATICAL TECHNIQUES AND APPLICATIONS, 2019
In the present study, some subclasses of univalent analytic functions are considered. The upper bounds of coefficient inequalities associated with the Chebyshev polynomial are computed. Similar problems are investigated for the function f through fractional derivatives for f^−1 and 𝑧 /𝑓(𝑧). The results obtained in this study generalizes the results studied by some earlier researchers.
On sharp Chebyshev polynomial bounds for a general subclass of bi-univalent functions
2021
In the present paper, we introduce a subclass BΣ (ν, σ, ρ) of the bi-univalent function class Σ, which is defined in the open unit disk U using the Chebyshev polynomials along with subordination. Further, we obtain sharp bounds for the initial coefficients a2, a3 and the Fekete-Szegö functional a3 − δa2 for the functions belong to this subclass. M.S.C. 2010: 30C45, 30C50.
Coefficient Bounds for Subclasses of Biunivalent Functions Associated with the Chebyshev Polynomials
We introduce and investigate new subclasses of biunivalent functions defined in the open unit disk, involving Sȃlȃgean 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.
On the Chebyshev Polynomial for a Certain Class of Analytic Univalent Functions
Journal of Function Spaces
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.
On Initial Chebyshev Polynomial Coefficient Problem for Certain Subclass of Bi-Univalent Functions
Communications in Mathematics and Applications, 2020
In this paper, we firstly, introduced the subclass \(R_{\Sigma}(\tau ,\alpha ,\gamma ;t)\) satisfying subordinate conditions. Subsequently, considering this defined subclass, initial coefficient estimations are established using by Chebyshev polynomials expansions, and Fekete-Szego inequalities are also derived for functions belonging to the said subclass. Furthermore, Some relevant consequences of these results are also discussed.