Sufficient Conditions for Starlike Functions Associated with the Lemniscate of Bernoulli

S. Sivaprasad Kumar, Virendra Kumar, V. Ravichandran +1

Let -1\leq B<A\leq 1. Condition on β, is determined so that 1+βzp'(z)/p^k(z)\prec(1+Az)/(1+Bz)\;(-1<k\leq3) implies p(z)\prec \sqrt{1+z}. Similarly, condition on βis determined so…