On the starlikeness of p-valent functions

Authors : Mamoru NUNOKAWA, Nak Eun CHO, Oh Sang KWON, Janusz SOKOL

Pages : 143-150

View : 16 | Download : 6

Publication Date : 0000-00-00

Article Type : Research Paper

Abstract :For an analytic function in open unit disk $\mathbb{D}$, we consider the $p$-valent analogue of the Noshiro-Warschawski univalence condition. We apply the Fejér-Riesz inequality to establish some sufficient conditions for functions to be $p$-valent or to be a Bazilevič function or to be in some other classes.
Keywords : Analytic, univalent, starlike, close to convex, Fejér Riesz inequality, p valent function