Subordination and inclusion theorems for higher order derivatives of a generalized fractional differintegral operator

Double Subordination Preserving Properties for Generalized Fractional Differ–integral Operator

We obtain subordination and superordination preserving properties for the Saigo type generalized fractional differ-integral operator, defined for multivalent functions in the open unit disk. A differential sandwich-type theorem for these multivalent function, and some consequences are also presented.

Subordination for Higher-Order Derivatives of Multivalent Functions

SANDWICH THEOREMS FOR HIGHER-ORDER DERIVATIVES OF p-VALENT FUNCTIONS DEFINED BY CERTAIN LINEAR OPERATOR

In this paper, we obtain some applications of first order differential subordination and superordination results for higher-order derivatives of p-valent functions involving certain linear operator. Some of our results improve and generalize previously known results.

Subordination and Superordination Properties for Convolution Operator

In present paper a certain convolution operator of analytic functions is defined. Moreover, subordination and superordination- preserving properties for a class of analytic operators defined on the space of normalized analytic functions in the open unit disk is obtained. We also apply this to obtain sandwich results and generalizations of some known results.

Some Subclasses of p-Valent Functions Defined by Generalized Fractional Differintegral Operator -II

In this paper, by applying a generalized extended fractional differintegral operator S ,μ,η 0,z (z ∈ △; p ∈ N; μ,η ∈ R; μ < p+ 1;−∞ < λ < η + p+ 1) we define a new class convex functions CV λ ,μ,η p (α;A,B) and several sharp inclusion relationships and other interesting properties were discussed by using the techniques of differential subordination.