On the growth of solutions of second order complex differential equation with meromorphic

We consider the differential equation f’’ + Af’ + Bf = 0 where A(z) and B(z) ≢ 0 are mero-morphic functions. Assume that A(z) belongs to the Edrei-Fuchs class and B(z) has a deficient value ∞ ,i ff ≢ 0 is a meromorphic solution of the equation, then f must have infinite order. Mathematical Subject Classification 2000: 34M10; 30D35.