ACTA UNIVERSITATIS APULENSIS No 20/2009 ON CERTAIN SUBCLASSES OF ANALYTIC AND UNIVALENT FUNCTIONS INVOLVING CONVOLUTION OPERATORS
نویسنده
چکیده
Let A(ω) denote the class of functions of the form f(z) = (z−ω)+ a2(z−ω)+ ... normalized by f(ω) = 0 and f ′(ω)− 1 = 0 and which are anal;ytic in the unit disk E = {z : |z| < 1}. We define operators Lω,n : A(ω) → A(ω) using the convolution ∗ and we use this operators to define and study a refinement by way of new generalization of some subclasses of analytic and univalent functions and properties such as inclusion, distortion, closure under certain integral transformations and coefficient inequalities are obtained. 2000 Mathematics Subject Classification: Primary, 30C45.
منابع مشابه
A certain convolution approach for subclasses of univalent harmonic functions
In the present paper we study convolution properties for subclasses of univalent harmonic functions in the open unit disc and obtain some basic properties such as coefficient characterization and extreme points.
متن کاملCertain subclasses of bi-univalent functions associated with the Aghalary-Ebadian-Wang operator
In this paper, we introduce and investigate two new subclasses of the functions class $ Sigma $ of bi-univalent functions defined in the open unit disk, which are associated with the Aghalary-Ebadian-Wang operator. We estimate the coefficients $|a_{2} |$ and $|a_{3} |$ for functions in these new subclasses. Several consequences of the result are also pointed out.
متن کاملACTA UNIVERSITATIS APULENSIS Special Issue ON CERTAIN CLASSES OF UNIFORMLY ω-STARLIKE AND ω-CONVEX FUNCTIONS DEFINED BY CONVOLUTION
Abstract. The author here wish to further study the new concept of analytic and univalent functions normalized with f(ω) and f ′(ω) − 1 = 0 introduced by Kanas and Ronning in 1999 which was later also investigated in 2005 by Acu and Owa. The author in this paper obtain coefficient estimates, distortion theorems, convex linear combinations, and radii of ω-closeto-convex, ω − starlikeness and ω −...
متن کاملCoefficient Estimates for Some Subclasses of Analytic and Bi-Univalent Functions Associated with Conic Domain
The main objective of this investigation is to introduce certain new subclasses of the class $Sigma $ of bi-univalent functions by using concept of conic domain. Furthermore, we find non-sharp estimates on the first two Taylor-Maclaurin coefficients $ left vert a_{2}right vert $ and $left vert a_{3}right vert $ for functions in these new subclasses. We consider various corollaries and consequen...
متن کاملIdentification of Initial Taylor-Maclaurin Coefficients for Generalized Subclasses of Bi-Univalent Functions
In the present work, the author determines some coefficient bounds for functions in a new class of analytic and bi-univalent functions, which are introduced by using of polylogarithmic functions. The presented results in this paper one the generalization of the recent works of Srivastava et al. [26], Frasin and Aouf [13] and Siregar and Darus [25].
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2009