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arXiv · 2206.08650

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

Walter Bergweiler
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Abstract

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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Walter Bergweiler. 2022-06-17. A question of Gol'dberg and Ostrovskii concerning linear differential equations with coefficients of completely regular growth. https://doi.org/10.1090/proc/16317

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