运用亚纯函数的Nevanlinna值分布理论和方法,对具[p,q]-φ级亚纯系数的2阶线性微分方程的亚纯解的性质进行了研究,得到了亚纯解的增长级和(不同)零极点收敛指数与系数的增长级的关系,所得结果推广了前人的相应结论.
Properties of meromorphic solutions of a second order linear differential equation with meromorphic coefficients of [p,q]-φ order are investigated by using Nevanlinna's value distribution theory of meromorphic functions.And some results on the relations between the order of meromorphic solutions,the convergence exponent of( distinct) zeros and( distinct) poles of meromorphic solutions,and the order of the coefficients are obtained,which are improvements and extensions of the corresponding results of previous papers.