Neighborhoods of certain p-valent analytic functions with complex order

In this paper, the authors prove several coefficient bounds, distortion inequalities of the class S-g(n)(p, lambda, b, beta) of p-valent analytic functions of complex order. By making use of the familiar concept of neighborhoods of p-valent analytic functions, they obtained several inclusion relations associated with the N-p(n, delta)-neighborhood of this class and its certain derivatives, which is defined by means of a certain non-homogeneous Cauchy-Euler differential equations. (C) 2009 Elsevier Ltd. All rights reserved.