On the Bank–Laine conjecture

Walter Bergweiler
Christian-Albrechts-Universität zu Kiel, Germany
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Alexandre Eremenko
Purdue University, West Lafayette, USA
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- zbMATH Open

Abstract

We resolve a question of Bank and Laine on the zeros of solutions of $w^{''} + A w = 0$ where $A$ is an entire function of finite order.

Walter Bergweiler, Alexandre Eremenko, On the Bank–Laine conjecture. J. Eur. Math. Soc. 19 (2017), no. 6, pp. 1899–1909