The Bank-Laine conjecture concerning the oscillation of solutions of second order homogeneous linear differential equations has recently been disproved by Bergweiler and Eremenko. It is shown here, however, that the conjecture is true if the set of finite critical and asymptotic values of the coefficient function is bounded.

中文翻译：

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Bank-Laine 函数、Liouville 变换和 Eremenko-Lyubich 类

最近，Bergweiler 和 Eremenko 推翻了关于二阶齐次线性微分方程解振荡的 Bank-Laine 猜想。然而，这里表明，如果系数函数的有限临界值和渐近值集是有界的，则该猜想为真。