涉及复微分方程(组)解的多项式的零点问题

The Zeros of Polynomials with Solutions of a Type of Complex Differential Equations and Systems of Complex Differential Equations

本文主要利用最大模原理,讨论一类复微分方程和一类复微分方程组在存在超越亚纯解时,涉及该类复微分方程或复微分方程组解的多项式的零点问题,得到两个结果,其中复微分方程组的讨论是推广了复微分方程的结论.

In this paper, using the Maximun modulus principle, we investigate the zeros of poly- nomials with transcendental meromorphic solution of a type of complex differential equations and a type of system of complex differential equations. Two results are obtained, and the discussion of systems of differential equations is based on the result of differential equations.