论文标题

Gol'dberg和Ostrovskii关于线性微分方程的问题,具有完全正常生长的系数

A question of Gol'dberg and Ostrovskii concerning linear differential equations with coefficients of completely regular growth

论文作者

Bergweiler, Walter

论文摘要

我们表明,线性微分方程的系数是完全正常生长的整个功能,可能具有整个有限顺序的解决方案,这不是完全正常的生长。这回答了Gol'dberg和Ostrovskii的问题。

We show that a linear differential equation whose coefficients are entire functions of completely regular growth may have an entire solution of finite order which is not of completely regular growth. This answers a question of Gol'dberg and Ostrovskii.

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