View article

Bohr phenomenon for analytic functions , where , was first introduced by Harald Bohr in and deals with finding the largest radius , , such that the inequality holds for whenever holds in the unit disk . The Bohr phenomenon for harmonic functions of the form f(z)=h+ḡ, where and , is to find the largest radius , such that

holds for , where is the Euclidean distance between and the boundary of . We prove several improved versions of the sharp Bohr radius for the classes of harmonic and univalent functions. Further, we prove several corollaries as a consequence of the main results.