Study of certain subclasses of p-valent close-to-convex functions

Abstract

In this paper, we propose certain subclasses of $p$-valent close-to-convex functions by using the class of Janowski functions associated with subordination. These classes generalize several other classes defined earlier. We study various properties of these classes in regard to the coefficient estimates, distortion theorems, growth theorems, argument theorems and inclusion relations. Also, the relevant connection with known or new results are pointed out here.