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2005•Acta Scientiarum Naturalium Universitatis SunyatseniRequires access

MEROMORPHIC p-VALENT FUNCTION WITH FIXED SECOND NEGATIVE COEFFICIENTS

Darus

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Abstract

In this paper we consider the class ∑[p, α, β, k, c] consisting of analytic functions with negative coefficients and fixed second coefficient. The object of the present paper is to give coefficient estimates,convex linear combinations, some distortion theorems and radii of starlikeness and convexity for f (z) in the class ∑[p, α, β, k, c].

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What this paper is about

In this paper we consider the class ∑[p, α, β, k, c] consisting of analytic functions with negative coefficients and fixed second coefficient. The object of the present paper is to give coefficient estimates,convex linear combinations, some distortion theorems and radii of starlikeness and convexity for f (z) in the class ∑[p, α, β, k, c].

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Available abstract

In this paper we consider the class ∑[p, α, β, k, c] consisting of analytic functions with negative coefficients and fixed second coefficient. The object of the present paper is to give coefficient estimates,convex linear combinations, some distortion theorems and radii of starlikeness and convexity for f (z) in the class ∑[p, α, β, k, c].

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

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