We show that the unresolved examples of Christol's conjecture 3 F 2 ([2/9, 5/9, 8/9], [2/3, 1], x) and 3 F 2 ([1/9, 4/9, 7/9], [1/3, 1], x), are indeed diagonals of rational functions.We also show that other 3 F 2 and 4 F 3 unresolved examples of Christol's conjecture are diagonals of rational functions. Finally we give two arguments that show that it is likely that the 3 F 2 ([1/9, 4/9, 5/9], [1/3, 1], 27 · x) function is a diagonal of a rational function.