We investigate the growth of solutions of the differential equation f (n)+ An− 1 (z) f (n− 1)+...+ A1 (z) f+ A0 (z) f= 0, where A0 (z),..., An− 1 (z) are entire functions with A0 (z)≡ 0. We estimate the hyper-order with ...

Line 1 overbar dens sub E= limint r right arrow plus infinity supremum m open parenthesis E cap open square bracket 0 comma r closing square bracket closing parenthesis divided by r sub comma dens underbar to the power of ...