On the starlikeness of p-valent functions

Authors: MAMORU NUNOKAWA, NAK EUN CHO, OH SANG KWON, JANUSZ SOKOL

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

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