Notes on the starlike log--harmonic mappings of order alpha

Rahim Kargar, Hesam Mahzoon

Let $h$ and $g$ be two analytic functions in the unit disc $\Delta$ that $g(0)=1$. Also let $\beta$ be a complex number with $\mathrm{Re}\{\beta \}>-1/2$. A function $f$ is said to be log--harmonic…