Malaysian Journal of Mathematical Sciences, September 2017, Vol. 11, No. 3
Functions Defined by Coefficient Inequalities
Kumar, S. and Ravichandran, V.
Corresponding Email: sushilkumar16n@gmail.com
Received date: 13 April 2016
Accepted date: 15 September 2017
Abstract:
In this paper, sharp radii constants are obtained for the analytic functions satisfying some coefficient inequalities. For such functions, growth and distortion estimates are determined. In addition, it is proved that functions in these classes are closed under Hadamard product with convex functions.
Keywords: Coefficient inequality, starlike functions, \(\alpha\)-convex function, radius of univalence, convolution, convex combination
