Sharp estimate of logarithmic coefficients of certain class of analytic functions

Certain 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...

Neighborhoods of certain classes of analytic functions with negative coefficients

Neighborhoods of Certain Subclasses of Analytic Functions with Negative Coefficients

The main object of this paper is to prove several inclusion relations associated with (j, δ)-neighborhoods of various subclasses defined by Salagean operator 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.

Neighborhoods of a Certain Class of Analytic Functions with Negative Coefficients

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...

On Sandwich theorems for certain classes of analytic functions

The purpose of this present paper is to derive some subordination and superordination results for certain analytic functions in the open unit disk. Relevant connections of the results, which are presented in the paper, with various known results are also considered.

Certain Subclasses of Analytic p-valent Functions with Negative Coefficients

Abstract. The object of the present paper is to study certain subclasses J∗ p (a, b, σ) and Cp(a, b, σ) of analytic p-valent functions, and obtain coefficient bounds and distortion properties for functions belonging to these subclasses. Further results include distortion inequalities and radii of close-toconvexity, starlikeness and convexity for these classes of functions.