A certain family of meromorphically multivalent functions
By making use of a familiar analogue of the Ruscheweyh derivative as well as of the principle of subordination between two analytic functions, the authors introduce and study rather systematically a certain family of meromorphically multivalent functions in the open unit disk U := {z : z is an element of C and 1\z\ < 1}. Several inclusion properties of this family are associated with an integral operator of the Bernardi-Libera-Livingston type. (C) 1999 Elsevier Science Ltd. All rights reserved.
ruscheweyh derivative analytic functions inclusion property integral operator meromorphic functions p-valent functions hadamard product (or convolution) jack's lemma parseval's identity