Certain Subclasses of Analytic Functions with Complex Order

Certain Subclasses of Analytic Functions with Complex Order

Two new subclasses of analytic functions of complex order are introduced. Apart from establishing coefficient bounds for these classes, we establish inclusion relationships involving (n-δ) neighborhoods of analytic functions with negative coefficients belonging to these subclasses.

On Certain Subclasses of Analytic Functions of Complex Order Defined by Generalized Hypergeometric Functions

Abstract. By making use of the generalized hypergeometric functions, in this paper we introduce and investigate certain new subclasses of analytic functions of complex order defined in the open unit disk. Coefficient inequalities, radii of close-to-convexity, starlikeness and convexity, closure theorems, integral means inequalities and several relations associated with (n, δ)-neighborhood for t...

Neighborhoods 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.

Some Properties of Certain Integral Operators on New Subclasses of Analytic Functions with Complex Order

Inclusion and Neighborhood Properties of Certain Subclasses of Analytic and Multivalent Functions of Complex Order

In the present paper, the authors prove several inclusion relations associated with the (n, δ)-neighborhoods of certain subclasses of p-valently analytic functions of complex order, which are introduced here by means of a family of extended multiplier transformations. Special cases of some of these inclusion relations are shown to yield known results.