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2014•Mathematical theory and modelingRequires access

Hadamard Product Of Meromorphic p-valent Functions with Negative Coefficients

Moa’ath N. Oqielat

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Abstract

In this research we introduce the new class P of meromorphic p-valent functionswith negative coe¢ cient. Sharp results concerning coe¢ cient inequalities, growth and distortion, radii of starlikeness and convexity and the extreme points for the class P are determined. Furthermore it is shown that the class Pis closed under convexlinear combinations. keywords: Analytic functions, Meromorphic functions, P-valent functions and Starlikeand convex functions

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What this paper is about

In this research we introduce the new class P of meromorphic p-valent functionswith negative coe¢ cient. Sharp results concerning coe¢ cient inequalities, growth and distortion, radii of starlikeness and convexity and the extreme points for the class P are determined. Furthermore it is shown that the class Pis closed under convexlinear combinations. keywords: Analytic functions, Meromorphic functions, P-valent functions and Starlikeand convex functions

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Available abstract

In this research we introduce the new class P of meromorphic p-valent functionswith negative coe¢ cient. Sharp results concerning coe¢ cient inequalities, growth and distortion, radii of starlikeness and convexity and the extreme points for the class P are determined. Furthermore it is shown that the class Pis closed under convexlinear combinations. keywords: Analytic functions, Meromorphic functions, P-valent functions and Starlikeand convex functions

Key concepts: Meromorphic function, Hadamard product, Distortion (music), Convexity, Class (philosophy), Mathematics, Extreme point, Hadamard transform

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