Fekete–szegö Problem for Certain Subclasses of Analytic Functions
نویسندگان
چکیده
Abstract. In this present investigation, authors introduce certain subclasses of starlike and convex functions of complex order b, using a linear multiplier differential operator D λ,μf(z). In this paper, for these classes the Fekete–Szegö problem is completely solved. Various new special cases of our results are also pointed out.
منابع مشابه
On the Fekete-szegö Problem for Some Subclasses of Analytic Functions
In this present investigation, the authors obtain Fekete-Szegö’s inequality for certain normalized analytic functions f(z) defined on the open unit disk for which zf ′(z)+αz2f ′′(z) (1−α)f(z)+αzf ′(z) (α ≥ 0) lies in a region starlike with respect to 1 and is symmetric with respect to the real axis. Also certain applications of the main result for a class of functions defined by convolution are...
متن کاملFekete-szegö Inequalities for Certain Subclasses of Starlike and Convex Functions of Complex Order Associated with Quasi-subordination
In this paper, we find Fekete-Szegö bounds for a generalized class M q (γ, φ). Also, we discuss some remarkable results.
متن کاملOn Fekete-Szegö Problems for Certain Subclass of Analytic Functions
The purpose of the present paper is to derive the Fekete-Szegö inequality for the class , ( ) s M of normalized analytic functions ( ) f z defined on the open unit disk for which , , ( ( )) ' ( ) s s z f z f z lies in a region starlike with respect to 1 and symmetric with respect to the real axis.
متن کاملFekete-Szeg"o problems for analytic functions in the space of logistic sigmoid functions based on quasi-subordination
In this paper, we define new subclasses ${S}^{*}_{q}(alpha,Phi),$ ${M}_{q}(alpha,Phi)$ and ${L}_{q}(alpha,Phi)$ of analytic functions in the space of logistic sigmoid functions based on quasi--subordination and determine the initial coefficient estimates $|a_2|$ and $|a_3|$ and also determine the relevant connection to the classical Fekete--Szeg"o inequalities. Further, we discuss the improved ...
متن کاملFekete-Szegö Problem of Functions Associated with Hyperbolic Domains
In the field of Geometric Function Theory, one can not deny the importance of analytic and univalent functions. The characteristics of these functions including their taylor series expansion, their coefficients in these representations as well as their associated functional inequalities have always attracted the researchers. In particular, Fekete-Szegö inequality is one of such vastly studied a...
متن کامل