Complex linear differential equations with entire coefficients are studied in the situation where one of the coefficients is an exponential polynomial and dominates the growth of all the other coefficients. If such an equation has an exponential polynomial solution $f$, then the order of $f$ and of the dominant coefficient are equal, and the two functions possess a certain duality property. The results presented in this paper improve earlier results by some of the present authors, and the paper adjoins with two open problems.

中文翻译：

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双指数多项式和小泽问题

在其中一个系数是指数多项式并且主导所有其他系数的增长的情况下研究具有整个系数的复线性微分方程。如果这样的方程有一个指数多项式解$f$，那么$f$和主导系数的阶是相等的，并且这两个函数具有一定的对偶性。本文提出的结果改进了当前一些作者的早期结果，并且该论文与两个未解决的问题相邻。