Some convolution conditions for starlikeness and convexity of meromorphically multivalent functions

摘要

By making use of the Hadamard product (or convolution), the authors derive necessary and sufficient conditions for a suitably normalized meromorphically p-valent function to be in the familiar classes of meromorphic p-valently starlike and meromorphic p-valently convex functions in the punctured unit disk. (C) 2002 Elsevier Science Ltd. All rights reserved. [References: 15]