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

Year 2017, Volume: 66 Issue: 2, 1 - 13, 01.08.2017

Arzu Akgül

https://doi.org/10.1501/Commua1_0000000796

Cited By: 2

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

Keywords

Meromorphic functions, positive coe¢ cients, coe¢ cient inequality, convex linear combination, meromorphically starlikeness, convexity, close-to-convexity and extremepoints

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• Current address, Arzu AKGÜL: Kocaeli University, Department of Mathematics, Faculty of Science and Arts, Umuttepe Campus, 41380, ·Izmit-Kocaeli, TURKEY.
• E-mail address : [e-mail]