Some Inclusion Relationships of Certain Subclasses of p-Valent Functions Associated with a Family of Integral Operators.

By making use of the new integral operator Rα,y β,p, we introduce and investigate several new subclasses of p-valent starlike, p-valent convex, p-valent close-to-convex, and p-valent quasi-convex functions. In particular, we establish some inclusion relationships associated with the aforementioned integral operators. Some of the results established in this paper would provide extensions of those given in earlier works. [ABSTRACT FROM AUTHOR]