2006Tamkang Journal of MathematicsOpen access

Certain classes of meromorphic $ p $-valent functions with positive coefficients

Moa'ath Nasser, Maslina Darus

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Abstract

We introduce the new class $ L(\alpha,\beta,\lambda,p) $ of meromorphic p-valent functions. The aim of the paper is to obtain coefficient inequalities, growth and distortion, radii of convexity and starlikeness and the convex linear combinations for the class $ L(\alpha,\beta,\lambda,p) $.

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We introduce the new class $ L(\alpha,\beta,\lambda,p) $ of meromorphic p-valent functions. The aim of the paper is to obtain coefficient inequalities, growth and distortion, radii of convexity and starlikeness and the convex linear combinations for the class $ L(\alpha,\beta,\lambda,p) $.

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Available abstract

We introduce the new class $ L(\alpha,\beta,\lambda,p) $ of meromorphic p-valent functions. The aim of the paper is to obtain coefficient inequalities, growth and distortion, radii of convexity and starlikeness and the convex linear combinations for the class $ L(\alpha,\beta,\lambda,p) $.

Key concepts: Meromorphic function, Mathematics, Convexity, Lambda, Distortion (music), Class (philosophy), Convex function, Regular polygon

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