Applications of multivalent prestarlike functions

Keywords: Analytic functions Multivalent prestarlike function Linear operator Hadamard product Subordination a b s t r a c t In the paper we introduce general classes of multivalent analytic functions defined by the subordination. In particular, we define the class of multivalent prestarlike functions. By using the Ruscheweyh's duality theory we investigate convolution properties related to multivalent prestarlike functions and various inclusion relationships between defined classes of functions. Some applications involving well-known classes of functions defined by linear operators are also considered.