We prove results on unique continuation at the boundary for the solutions of real analytic elliptic partial differential equations of the form n i,j=1 aij(x) ∂ 2 u ∂x i ∂x j + n k=1 b k (x) ∂u ∂x k + c(x)u = 0 This work is motivated by and generalized the main results of , [5],[6], X.Huang et al in ,[12], [11] and M.S Baouendi and L.