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Generalized Class of p-Valent Functions with Two Fixed Points
Journal article   Peer reviewed

Generalized Class of p-Valent Functions with Two Fixed Points

H. E. Darwish, A. Y. Lashin, R. M. El-Ashwah and E. M. Madar
Southeast Asian bulletin of mathematics, Vol.44(5), pp.645-655
01/01/2020

Abstract

Mathematics Physical Sciences Science & Technology
p-Valent functions of the form f(z) = a(p)z(p) - Sigma(infinity)(k=n+p) a kz(k), where a(k) >= 0, are considered. We examine the subclass for which (1 - lambda) f(z(0))/pz(0)(p-1) = (0 < z(0) < 1; 0 <= lambda <= 1). The coefficient inequalities, distortion theorems, radii of p-valent starlikeness and p-valent convexity and extreme points of this class are determined.

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