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arxiv: 1602.08318 · v1 · pith:2SU5ZVJWnew · submitted 2016-02-26 · 🧮 math.CV · nlin.SI

Growth of meromorphic solutions of delay differential equations

classification 🧮 math.CV nlin.SI
keywords equationsdelaydifferentialmeromorphicobtainedadmitcertainconditions
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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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