By R. Kanaga and Vaishnavi Ravichandran

We find the radius of starlikeness of order *\alpha*, *0\leq \alpha<1*, of normalized analytic functions *f* on the unit disk satisfying either *\operatorname{Re}(f(z)/g(z))>0* or *\left| (f(z)/g(z))-1\right|<1* for some close-to-star function *g* with *\operatorname{Re}(g(z)/(z+z^2/2))>0* as well as of the class of close-to-star functions *f* satisfying *\operatorname{Re}(f(z)/(z+z^2/2))>0*. Several other radii such as... Show more

March 12, 2020

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Starlikeness for Certain Close-to-Star Functions

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