Coefficient inequalities and inclusion relations for some families of analytic and multivalent functions

By means of the derivative operator of order m (m is an element of N-0), we introduce and investigate two new subclasses of p-valently analytic functions of complex order. The various results obtained here for each of these two function classes include coefficient inequalities and inclusion relationships involving the (n, delta)-neighborhood of p-valently analytic functions. Relevant connections with some other recent investigations are also pointed out. (c) 2006 Elsevier Ltd. All rights reserved.