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arXiv · 1602.08318

Growth of meromorphic solutions of delay differential equations

Rod Halburd·Risto Korhonen
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Abstract

Necessary conditions are obtained for certain types of rational delay differential equations to admit a non-rational meromorphic solution of hyper-order less than one. The equations obtained include delay Painlev\'e equations and equations solved by elliptic functions.

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Rod Halburd, Risto Korhonen. 2016-02-26. Growth of meromorphic solutions of delay differential equations. https://arxiv.org/abs/1602.08318

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