有限迭代级整系数线性微分方程解的性质

The properties of solutions of linear differential equations with entire coefficients of finite iterated order

研究了有限迭代级整系数的复线性微分方程,应用Nevalinna和Ahlfors的角域理论,得到了有关解的迭代级,零点迭代收敛指数以及角域中的零点分布的结果.

The complex linear differential equations with entire coefficients of finite iterated order are investigated. By applying the theory in an angular domain of NevaUnna and Ahlfors, some results concerning the iterated order of solutions, the iterated convergence exponent of the zeros of solutions and the zeros distribution of solutions in an angular domain are given.