Multivalent functions with respect to nn-ply points and symmetric conjugate points

Multivalent analytic functions that are starlike, convex, close-to-convex, and quasi-convex with respect to nn-ply points as well as multivalent functions with respect to symmetric points, conjugate points and symmetric conjugate points are considered. These classes of functions interestingly unify various known subclasses that have separately been introduced and studied. Inclusion and convolution properties of these generalized classes are investigated, and numerous known results could be obtained as special instances.