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arxiv: 0903.2328 · v1 · submitted 2009-03-13 · 🧮 math.CV · math.CA

Non-real zeros of derivatives of real meromorphic functions

classification 🧮 math.CV math.CA
keywords zerosderivativesfinitelyfunctionsmanymeromorphicnon-realreal
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The main result of the paper determines all real meromorphic functions of finite order in the plane for which the first derivative has finitely many zeros, while the function itself and one of its higher derivatives have finitely many non-real zeros.

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