Starlikeness associated with lemniscate of Bernoulli

Vibha Madaan, Ajay Kumar, V. Ravichandran

For an analytic function $f$ on the unit disk $\mathbb{D}=\{z:|z|<1\}$ satisfying $f(0)=0=f^{\prime }(0)-1,$ we obtain sufficient conditions so that $f$ satisfies $|(z{f}^{\prime }(z)/f(z){)}^2-1|<1.$ T…