Certain inequalities and convolution properties for multivalent and meromorphically multivalent functions

Abstract

By means of certain extended derivative operator of Salagean type, the author introduces and investigates three new subclasses of p-valently analytic functions. The reason for this is to use generalized Salagean derivative operator to bring together many earlier inroduced subclasses of p-valently functions to become special cases of the newly defined subclasses, see [2,8].The various results obtain for these functions include coefficient inequalities, coefficient bounds and convolution properties. These results coincides with many existing results using different choices of n and β

JONAMP Vol. 11 2007: pp. 519-524