Title :
Applications of Rafid operator to analytic and multivalent functions with negative coefficient
Author :
Jain, J.C. ; Khairnar, S.M.
Author_Institution :
Dept. of Mathematics, J.J.T. University, Rajasthan (India)
Abstract :
The aim of this paper is to introduce and investigate the class P(p,α,β,μ,λ) which consist of analytic and multivalent functions with negative coefficient in the unit disc, defined by hadamard product with Rafid operator. To obtain Coefficient bounds, extreme points, hadamard product, radius of starlikeness, convexity and close to convexity. Also to determine the distortion theorem using fractional techniques of this class.
Keywords :
Computers; Convex functions; Convolution; Distortion; Fractional calculus; Open wireless architecture; Analytic function; Hadamard product; Multivalent function; Rafid operator; close to convex function; convex function; fractional derivative operator; fractional integral operator; starlike function;
Conference_Titel :
Advances in Communication and Computing Technologies (ICACACT), 2014 International Conference on
Print_ISBN :
978-1-4799-7318-7
DOI :
10.1109/EIC.2015.7230713