On a certain fractional 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...

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

Certain Results on p-Valent Analytic Functions Involving a Fractional Operator

Department of Mathematics and Astronomy University of Lucknow, Lucknow 226007, India sharma [email protected] pathakmamta [email protected] Abstract In this paper, a necessary and sufficient condition for a function to be in the class Tμ(α, p,A,B) of p-valent analytic functions involving fractional calculus operator is obtained. Distortion bounds, subordination result, convolution results ...

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

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.