A subclass of starlike functions associated with left-half of the lemniscate of Bernoulli

Let [Formula: see text] denote the class of all analytic functions f in the open unit disk with the normalizations f(0) = f′(0) - 1 = 0 such that zf′(z)/f(z) lies in the interior of the left-half of the shifted lemniscate of Bernoulli [Formula: see text]. In this paper, we investigate the geometric properties of functions in this class and compute the [Formula: see text]-radius for functions belonging to several interesting classes.