Coefficient Bounds for a subclass of bi-prestarlike functions associated with the Chebyshev Polynomials

与切比雪夫多项式相关的双单叶函数子类

Subclass of bi-univalent function associated to Chebyshev polynomial

本研究利用切比雪夫多项式定义双单叶函数子类，建立其切比雪夫多项式界与Fekete-Szego不等式，丰富了双单叶函数的相关理论。

Chebyshev polynomial coefficient bounds for a subclass of bi-univalent functions

In this work, considering a general subclass of bi-univalent functions and using the Chebyshev polynomials, we obtain coefficient expansions for functions in this class.

A Comprehensive Subclass of Bi-Univalent Functions Associated with Chebyshev Polynomials of the Second Kind

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-Szego inequalities of functions belonging to this subclass are founded. Several connections to some of the earlier known results are also pointed out.

Second Hankel determinant for certain subclasses of bi-univalent functions involving Chebyshev polynomials

In this paper our purpose is to find upper bound estimate for the second Hankel determinant $|a_{2}a_{4}-a_{3}^{2}|$ for functions defined by convolution belonging to the class $\mathcal{N}_σ^{μ,δ}(λ,t)$ by using Chebyshev polynomials.

Fekete-Szego Inequality for Analytic and Bi-univalent Functions Subordinate to Chebyshev Polynomials

In the present paper, a new subclass of analytic and bi-univalent functions by means of Chebyshev polynomials is introduced. Certain coefficient bounds for functions belong to this subclass are obtained. Furthermore, the Fekete-Szego problem in this subclass is solved.

Second Hankel Determinant for certain class of bi-univalent functions defined by Chebyshev polynomials

Making use of Chebyshev polynomials, we obtain upper bound estimate for the second Hankel determinant of a subclass $\mathcal{N}_{σ}^μ\left( λ,t\right) $ of bi-univalent function class $σ.$