Motivated by the success of the Janowski starlike function, we consider here 
closely related functions for log-harmonic mappings of the form ()=ℎ()() defined on the open unit disc . The functions are in the class of the generalized Janowski starlike log-harmonic mapping, ∗lh(,,), with the functional ℎ() in the class of the generalized Janowski starlike functions, ∗(,,). By means of these functions, we obtained results on the generalized Janowski close-to-starlike log-harmonic mappings, lh(,,)