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arxiv: 1011.3907 · v1 · pith:AYHWWMELnew · submitted 2010-11-17 · 🧮 math.CV

Generalization of a theorem of Clunie and Hayman

classification 🧮 math.CV
keywords cluniefunctionhaymanordersigmacurvesderivativedimension
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Clunie and Hayman proved that if the spherical derivative of an entire function has order of growth sigma then the function itself has order at most sigma+1. We extend this result to holomorphic curves in projective space of dimension n omitting n hyperplanes in general position.

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