The functions 1+z, ez, 1+Az, A∈(0,1] map the unit disc D to a domain which is symmetric about x-axis. Regular Coulomb wave function (RCWF) FL,η involving two parameters L and η, these. In this article, we derive conditions on parameter η for normalized form fL of are subordinated by 1+z. We also consider subordination ez A∈(0,1]. A few more properties RCWF discussed, leads star-likeness functio...