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

By means of the derivative operator of order mm (m∈N0m∈N0), we introduce and investigate two new subclasses of pp-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,δ)(n,δ)-neighborhood of pp-valently analytic functions. Relevant connections with some other recent investigations are also pointed out.