Coefficient estimates for certain classes of meromorphic bi-univalent functions

We define a new class of meromorphic bi-univalent functions and use the Faber polynomial expansions to determine the coefficient bounds for such functions. Our results generalize and/or improve some of the previously known results. A meromorphic function is said to be bi-univalent in a given domain Δ if both the function and its inverse map are univalent there.     

Coefficient estimates for a class of meromorphic bi-univalent functions

Applying the Faber polynomial coefficient expansions to a class of meromorphic bi-univalent functions, we obtain the general coefficient estimates for such functions and also examine their early coefficient bounds. A function univalent in the open unit disk is said to be bi-univalent if its inverse map is also univalent there. Both the technique and the coefficient bounds presented here are new on their own kind. We hope that this article will generate future interest in applying our approach to other related problems.     

Faber polynomial coefficient estimates for a comprehensive subclass of analytic bi-univalent functions

In this work, considering a general subclass of analytic bi-univalent functions, we determine estimates for the general Taylor–Maclaurin coefficients of the functions in this class. For this purpose, we use the Faber polynomial expansions. In certain cases, our estimates improve some of those existing coefficient bounds.     

与条形区域有关的双向单叶解析函数子类的系数估计

本文引入了条形区域内由Salagean算子刻画的解析函数新子类, 讨论了该函数子类的系数估计、Fekete-Szego不等式以及与该函数子类有关的双向单叶函数的系数估计, 所得结果推广了前人的一些工作.     

一类由切比雪夫多项式和$q$-微分算子定义的双单叶解析函数的初始系数估计

本文介绍了一类由切比雪夫多项式和$q$-微分算子定义的双单叶解析函数,得到了相关系数估计和Fekte-Szego不等式,所得结果改进或推广了已有部分作者的结论.     

Coefficient Estimates for a Class of m-fold Symmetric Bi-univalent Function Defined by Subordination

In this paper, we investigate the coefficient estimates of a class of m-fold bi-univalent function de?ned by subordination. The results presented in this paper improve or generalize the recent works of other authors.     

Estimate and Fekete-Szeg? Inequality for a Class of m-Fold Symmetric Bi-Univalent Function Defined by Subordination

In this paper, we investigate the coefficient estimate and Fekete-Szeg? inequality of a class of m-fold bi-univalent function defined by subordination. The results presented in this paper improve or generalize the recent works of other authors.     

一类由从属关系定义的m-折对称双单叶函数的系数估计及Fekte-Szego不等式

本文研究了一类由从属关系定义的$m$-折对称双单叶函数的系数估计及Fekte-Szego不等式,所得结果改进或推广了已有部分作者的结论.     

Coefficient Estimates for Certain Subclasses of Bi-Univalent Ma-Minda Mocanu-Convex Functions

In this paper, we introduce and investigate a new subclass of the function class Σ of bi-univalent functions of the Mocanu-convex type defined in the open unit disk, satisfy Ma and Minda subordination conditions. Furthermore, we find estimates on the Taylor-Maclaurin coefficients |a2| and |a3| for functions in the new subclass introduced here. Further Application of Hohlov operator to this class is obtained. Several(known or new) consequences of the results are also pointed out.     

On the Coefficients of Several Classes of Bi-univalent Functions Defined by Convolution

In this paper, we introduce several new subclasses of the function class Σ of bi-univalent functions analytic in the open unit disc defined by convolution.Furthermore, we investigate the bounds of the coefficients |a2| and |a3| for functions in these new subclasses. The results presented in this paper improve or generalize the recent works of other authors.     

利用$(s,t)$-微分算子和拟从属定义的双单叶函数新子类的系数相关问题研究

本文中,我们引进了由$(s,t)$-微分算子和拟从属定义的一类广义双单叶函数类. 对该新函数类及其子类,利用Faber多项式展开式我们得到了前两项系数$|a_2|$, $|a_3|$和一般项系数$|a_n|~(n\geq 4)$的估计,然后也解决了Fekete-Szeg\"{o}问题.     

Subclasses of bi-univalent functions defined by convolution

In this paper, we introduced two new subclasses of the function class Σ of bi-univalent functions analytic in the open unit disc defined by convolution. Furthermore, we find estimates on the coefficients ∣a₂∣ and ∣a₃∣ for functions in these new subclasses.     

Coefficient Estimates for Bi-Univalent Bazilevic Functions

In this paper we consider the class of Bazilevic functions for bi-univalent functions. For this we will estimate the coefficients a2 and a3 using Caratheodory func- tions and the method of differential subordination.     

Estimate for initial Maclaurin coefficients of bi-univalent functions for a class defined by fractional derivatives

Estimates for second and third Maclaurin coefficients of certain bi-univalent functions in the open unit disk defined by convolution are determined. Certain special cases are also indicated.     

On the Coefficients of Several Classes of Bi-Univalent Functions

In this paper, we investigate the bounds of the coefficients of several classes of bi-univalent functions. The results presented in this paper improve or generalize the recent works of other authors.     

Coefficient estimates for a certain class of analytic and bi-univalent functions defined by fractional derivative

We introduce and investigate a subclass of analytic and bi-univalent functions defined by a fractional derivative operator in the open unit disk. Using the Faber polynomial expansions, we obtain upper bounds for the coefficients of functions belonging to this class.     

双单叶函数某个子类的Faber多项式系数估计

The main objective of this paper is to derive the upper bounds for the coefficients of functions in a subclass of analytic and bi-univalent functions associated with Faber polynomials.The consequences presented here point out and correct the errors of some earlier results.     

ON THE COEFFICIENTS OF SEVERAL CLASSES OF BI-UNIVALENT FUNCTIONS

In this paper, we investigate the bounds of the coefficients of several classes of bi-univalent functions. The results presented in this paper improve of generalize the recent works of other authors.     

Coefficient Estimates for Two Subclasses of Analytic and Bi-Univalent Functions

Ukrainian Mathematical Journal - We introduce two new subclasses of the class ?? of analytic and bi-univalent functions in the open unit disk U. Furthermore, we establish estimates...     

几类亚纯双单叶函数的系数估计

研究了几类亚纯双单叶函数的系数估计,所得结果改进或推广了部分作者的结论.