On certain subclasses of multivalent analytic functions

On Certain Classes of Multivalent Analytic Functions

In this paper we introduce the class B(p, n, μ, α) of analytic and p-valent functions to obtain some sufficient conditions and some angular properties for functions belonging to this class.

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.

Inequalities Defining Certain Subclasses of Analytic and Multivalent Functions Involving Fractional Calculus Operators

Making use of a certain fractional calculus operator, we introduce two new subclasses Mδ(p;λ, μ, η) and Tδ(p;λ, μ, η) of analytic and p−valent functions in the open unit disk. The results investigated exhibit the sufficiency conditions for a function to belong to each of these classes. Several geometric properties of such multivalent functions follow, and these consequences are also mentioned.

On Certain Subclasses of Analytic Functions Defined by Differential Subordination

Certain Subclasses of Multivalent Functions Associated with Fractional Calculus Operator

By means of the generalized fractional calculus operator, we introduce and investigate a subclass of p−valent functions with negative coefficients. We obtain the coefficient estimates, distortion bounds for the class. Furthermore, we discuss inclusion relationship involving the neighborhood result of the same. Mathematics Subject Classification: 30C45