Mergelyan's and Arakelian's theorem for manifold-valued maps

I will first discuss Mergelyan's approximation theorem for maps from open Riemann surface into complex manifolds. I will then show how these results, along with techniques of gluing holomorphic sprays, give a version of Arakelian's theorem on uniform approximation of holomorphic maps from closed subsets of plane domains to any compact complex homogeneous manifold.