Class of Analytic Univalent Functions with Fixed Finite Negative Coefficients Defined by q-Analogue Difference Operator

Abstract

In this paper using a q−analogue operator, we define class of univalent functions with fixed finite negative coefficients and determine coefficient estimates and other properties for this class. Various results obtained in this paper are shown to be sharp.

Key words and phrases. Analytic function, univalent functions, starlike and convex functions, q-analogue operator, coefficient estimates, extreme points, radius of convexity, closure theorems.

2010 Mathematics Subject Classification. 30C45