Some Applications of Multivalent Functions Defined by Extended Fractional Differintegral Operator

摘要

In the present paper an extended fractional differintegral operator Ω_z~(λ,p)(-∞< λ< p+1: p ∈ □), suitable for the study of multivalent functions is introduced. The various results obtained here for each of these function classes include coefficient bound, inclusion relation for (k, θ) - neighborhood of subclass of analytic and multivalent functions with negative coefficient, Hadamard products, Integral means. Further, results based on partial sums of functions belonging to the class are derived.