本文研究了微分方程f^(k)+Ak-1f^(k-1)+…+A0f=F(k≥2)解的增长级和零点收敛指数,其中Af=Bje^pj,j=0,1,…,k-1,Bj(z)为整函数,Pj(z)为多项式,σ(Bj)〈degPj.
This paper deals with the orders and zeros of the solutions of the differential equation f^(k)+Ak-1f^(k-1)+…+A0f=F,k≥2,where Aj=Bje^Pj,j=0,1,…,k-1,Bj(z) are entire functions,Pj(z)are polynomials,and σ(Bj)〈degpj.