This paper deals with the orders and zeros of the solutions of the differential equation $$f^{(k)}+A_{k-1}f^{(k-1)}+\cdots+A_0f=F, k\ge2,$$ where $A_j=B_je^{P_j},j=0,1,\cdots,k-1,B_j(z)$ are entire functions, $P_j(z)$ are polynomials, and $\sigma(B_j)<{\rm deg}P_j$. |