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2017•Communications Faculty Of Science University of Ankara Series A1Mathematics and StatisticsOpen access

A new subclass of meromorphic functions with positive and fixed second coefficients defined by the rafid-operator

Arzu Akgül

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Abstract

The aim of the present paper is to introduce a new subclass of meromorphic functions with positive and fixed second coeffcients by meansof Rafid-operator by fixing second coeffcient. We give a necessary and sufficient condition for a function f to be in this class. Also we obtain coefficientinequality, distortion properties, meromorphically radii of close-to-convexity,starlikeness and convexity, extreme points, convex linear combinations, for thefunctions f in this class

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What this paper is about

The aim of the present paper is to introduce a new subclass of meromorphic functions with positive and fixed second coeffcients by meansof Rafid-operator by fixing second coeffcient. We give a necessary and sufficient condition for a function f to be in this class. Also we obtain coefficientinequality, distortion properties, meromorphically radii of close-to-convexity,starlikeness and convexity, extreme points, convex linear combinations, for thefunctions f in this class

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Available abstract

The aim of the present paper is to introduce a new subclass of meromorphic functions with positive and fixed second coeffcients by meansof Rafid-operator by fixing second coeffcient. We give a necessary and sufficient condition for a function f to be in this class. Also we obtain coefficientinequality, distortion properties, meromorphically radii of close-to-convexity,starlikeness and convexity, extreme points, convex linear combinations, for thefunctions f in this class

Key concepts: Meromorphic function, Convexity, Subclass, Mathematics, Distortion (music), Extreme point, Class (philosophy), Convex function

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