On the Bohr’s Inequality for Stable Mappings

Abstract

We consider the class of stable harmonic mappings $$f=h+\overline{g}$$ introduced by Martin, Hernandez and the class of stable logharmonic mappings $$f=zh\overline{g}$$ introduced by AbdulHadi, El-Hajj. We determine Bohr’s radius for the classes of stable univalent harmonic mappings, stable convex harmonic mappings and stable univalent logharmonic mappings. We also consider improved and refined versions of Bohr’s inequality and discuss the Bohr–Rogosinski’s radius for this family of mappings.