A Certain Subclass of Multivalent Analytic Functions Defined by the q-Difference Operator Related to the Janowski Functions

Certain Subclass of Analytic and Multivalent Functions Defined by Using a Certain Fractional Derivative Operator

Making use of a certain operator of fractional derivative, a new subclass Fλ(n, p, α, μ) of analytic and p-valent functions with negative coefficients is introduced and studied here rather systematically. Coefficient estimates, a distortion theorem and radii of p-valently closeto-convexity, starlikeness and convexity are given. Finally several applications involving an integral operator and a c...

On a subclass of multivalent analytic functions associated with an extended fractional differintegral operator

Making use of an extended fractional differintegral operator ( introduced recently by Patel and Mishra), we introduce a new subclass of multivalent analytic functions and investigate certain interesting properties of this subclass.

Certain subclass of $p$-valent meromorphic Bazilevi'{c} functions defined by fractional $q$-calculus operators

The aim of the present paper is to introduce and investigate a new subclass of Bazilevi'{c} functions in the punctured unit disk $mathcal{U}^*$ which have been described through using of the well-known fractional $q$-calculus operators, Hadamard product and a linear operator. In addition, we obtain some sufficient conditions for the func...

Certain Properties of a Subclass of Multivalent Analytic Functions

A Certain Class of Analytic and Multivalent Functions Defined by Means of a Linear Operator

Making use of a linear operator, which is defined here by means of the Hadamard product (or convolution), we introduce a class Qp(a, c;h) of analytic and multivalent functions in the open unit disk. An inclusion relation and a convolution property for the class Qp(a, c;h) are presented. Some integral-preserving properties are also given.