Neighborhoods of a Certain Family of Multivalent Functions Defined by Using a Fractional Derivative Operator

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 linear combination of classes of harmonic $p-$valent functions defined by certain modified operator

In this paper we obtain coefficient characterization‎, ‎extreme points and‎ ‎distortion bounds for the classes of harmonic $p-$valent functions‎ ‎defined by certain modified operator‎. ‎Some of our results improve‎ ‎and generalize previously known results‎.

On Differential Subordinations of Multivalent Functions Involving a Certain Fractional Derivative Operator

Properties of multivalent functions associated with certain integral operator

Let A(p) denote the class of functions which are analytic in the open unit disk U. By making use of certain integral operator,we obtain some interesting properties of multivalent analytic functions.

On Certain Subclasses of Multivalent Functions with Negative Coefficients Defined by Using a Differential Operator

Making use of a differential operator the author investigate the various impartant properties and characteristics of the subclass Tj(n,m, p, q, α) (p, j,m ∈ N = {1, 2, . . .}, q, n ∈ N0 = N ∪ {0}, 0 ≤ α < p − q) of p-valently analytic functions with negative coefficients. Finally, several applications involving an integral operator and certain fractional calculus operators are also considered.