This paper considers a special class \(S_{L}(h)\) of logharmonic mappings of the form \(f(z)=h(z)\overline{h^{\prime }(z)},\) where h is analytic in the unit disk U, normalized by \(h(0)=0\) , \(h^{\prime }(0)=1\) , and h(U) is starlike. For this class of functions, a distortion theorem is proved, and Bohr’s inequality along with some improvements and refinements is investigated. In addition, the radius of starlikeness and an estimate for arclength are obtained.
