A GENERALIZATION OF β-UNIFORMLY STARLIKE FUNCTIONS
P. N. KAMBLE
Department of Mathematics, Dr. Babasaheb Ambedkar Marathwada University, Aurangabad 431004, India.
M. G. SHRIGAN *
Department of Mathematics, Dr. D. Y. Patil School of Engineering and Technology, Pune 412205, India.
*Author to whom correspondence should be addressed.
Abstract
In this paper, we introduce and study a new class of analytic and β-uniformly starlike functions involving q-diffrerential operator. For this β-uniformly starlike function class, we nd several interesting properties including coefficient inequalities, distortion theorems and extreme points.
Keywords: β-uniformly starlike functions, q-differential operator, coefficient inequalities, distortion theorems, extreme points