A GENERALIZATION OF REGULAR p-VALENT FUNCTIONS

Abstract

In this thesis we study p-valent annular starlike functions, p-valent convex functions and extend them to p-valent weakly star- like functions, p-valent weakly convex functions, respectively. Moreover, we investigate several conditions to be p-valent close-to-convex functions and show that they are equivalent. ;본 논문에서는 p-valent annular starlike functions과 p-valent convex functions 을 연구하였으며, 이 함수들을 각각 p-valent weakly starlike functions 과 p-valent weakly convex functions으로 확장하였다. 또한 p-valent close-to-convex functions이 되기위한 몇가지 조건을 조사하였으며, 그 조건들이 같다는 것을 보이고 있다.