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2015•Mathematical theory and modelingRequires access

CERTAIN SUBCLASSES OF P-VALENT MEROMORPHIC CONVEX FUNCTIONS ASSOCIATED WITH MOSTAFA OPERATOR

J. J. Bhamare S. M. Khairnar

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Abstract

In this paper we study certain subclasses of analytic p-valent meromorphic convex functions with positive coefficients in the puncture unit disk. The result presented coefficient estimate, growth and distortion properties for functions belonging to this subclasses. Further results of modified hadamard product, inclusion properties, radii of close-to-convexity; starlikeness and convexity for functions belonging to the subclasses are discussed. Keywords : p-Valent meromorphic functions, convex function, Modified Hadamard product, inclusion properties and radii of starlikeness. AMS Subject Classification : 30C45

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What this paper is about

In this paper we study certain subclasses of analytic p-valent meromorphic convex functions with positive coefficients in the puncture unit disk. The result presented coefficient estimate, growth and distortion properties for functions belonging to this subclasses. Further results of modified hadamard product, inclusion properties, radii of close-to-convexity; starlikeness and convexity for functions belonging to the subclasses are discussed. Keywords : p-Valent meromorphic functions, convex function, Modified Hadamard product, inclusion properties and radii of starlikeness. AMS Subject Classification : 30C45

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Available abstract

In this paper we study certain subclasses of analytic p-valent meromorphic convex functions with positive coefficients in the puncture unit disk. The result presented coefficient estimate, growth and distortion properties for functions belonging to this subclasses. Further results of modified hadamard product, inclusion properties, radii of close-to-convexity; starlikeness and convexity for functions belonging to the subclasses are discussed. Keywords : p-Valent meromorphic functions, convex function, Modified Hadamard product, inclusion properties and radii of starlikeness. AMS Subject Classification : 30C45

Key concepts: Meromorphic function, Hadamard product, Convexity, Unit disk, Mathematics, Distortion (music), Convex function, Hadamard transform

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