Bohr radius for subordinating families of analytic functions and bounded harmonic mappings

The class consisting of analytic functions f in the unit disk satisfying f+αzf′+γz2f″ subordinated to some function h is considered. The Bohr radius for this class is obtained when h is respectively convex or starlike. The Bohr radius for analytic functions mapping the unit disk into a concave-wedge domain as well as for bounded harmonic mappings are also established.