The authors introduce and study three novel subclasses of analytic and p-valent functions with negative coefficients. In addition to finding a necessary and sufficient condition for a function to belong to each of these subclasses, a number of other potentially useful properties and characteristics of functions in these subclasses are obtained. Finally, several applications involving an integral operator and certain fractional calculus operators are also considered. ᮊ 1997 Academic Press *
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.