DIFFERENTIAL SANDWICH THEOREMS FOR p-VALENT FUNCTIONS ASSOCIATED WITH A CERTAIN GENERALIZED DIFFERENTIAL OPERATOR AND INTEGRAL OPERATOR

Abstract

The purpose of this paper is to derive some subordination and super-ordination results for functions of the form f(z) = z^p + \(\sum_{k=p+1}^{∞}\) a_kz^k which are p−valent in the open unit disk \(\mathbb{U}\) = {z ∈\(\mathbb{C}\) : |z| < 1} by using certain differential operator \(A_{λ,p}^{n}\)(α, β, µ) f(z) and integral operator \(F_{p}^{m}\)(ρ, ϑ) f(z).  Some special cases are also considered.