On The Growth of Solutions of Second Order Linear Differential Equations

The growth of solutions of the differential equations f''+A_1(z)P(e^z)f'+A_0(z)Q(e^z)f=0 and f''+(A_1P(e^z)+D_1(z))f'+(A_0Q(e^z)+D_0(z))f=0 is investigated, where~P(e^z)~and~Q(e^z)~are nonconstant polynomials without constants, and degP is not equal to degQ. It is showed that the order of growth of each nonzero solution of the above equations is infinite.