New Subclasses of Multivalent Analytic Functions Associated with a Linear Operator

Abstract

Making use of a linear operator, which is defined here by means of the Hadamard product (or convolution), we consider two subclasses $F_{p,n}(a,c,\lambda ,A,B)$ and $G_{p,n}(a,c,\lambda ,A,B)$ of multivalent analytic functions with negative coefficients in the open unit disk. Some modified Hadamard products, integral transforms, and the partial sums of functions belonging to these classes are studied.