Neighborhoods of a Certain Class of Analytic Functions with Negative Coefficients
نویسندگان
چکیده
Abstract. A certain subclass of analytic functions in the open unit disc with negative coefficients is introduced. The new class is defined by means of multiplier transformations. By making use of the familiar concept of neighborhoods of analytic function, the author proves coefficient inequalities, distortion theorems and associated inclusion relations for the (n, δ)-neighborhoods of functions belonging to the new class, which satisfy a certain nonhomogeneous CauchyEuler differential equation.
منابع مشابه
Sharp estimate of logarithmic coefficients of certain class of analytic functions
This article has no abstract.
متن کاملCertain Inequalities for a General Class of Analytic and Bi-univalent Functions
In this work, the subclass of the function class S of analytic and bi-univalent functions is defined and studied in the open unit disc. Estimates for initial coefficients of Taylor- Maclaurin series of bi-univalent functions belonging these class are obtained. By choosing the special values for parameters and functions it is shown that the class reduces to several earlier known classes of analy...
متن کاملNeighborhoods of certain subclasses of analytic functions of complex order with negative coefficients
In this paper we prove several inclusion relations associated with ) , ( n neighborhood of certain subclasses of analytic functions of complex order with negative coefficients by making use of the familiar concept of neighborhoods of analytic functions. Special cases of some of these inclusion relations are shown to yield known results.
متن کاملNeighborhoods of a Class of Analytic Functions with Negative Coefficients
H. Özlem Güney and S. Sümer Eker University of Dicle Faculty of Science and Arts, Department of Mathematics 21280, Diyarbakır, Turkey [email protected] & [email protected] Abstract We making use of the familiar concept of neighborhoods of analytic functions, we prove several inclusion relations associated with the (n, δ)neighborhoods of various subclass of univalent functions with negative...
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 کامل