Generalization of a theorem of Clunie and Hayman

Details Generalization of a theorem of Clunie and Hayman Generalization of a theorem of Clunie and Hayman

2010-11-17

arxiv.org/abs/1011.3907v1

Proc. Amer. Math. Soc., 140, (2012) 1397-1402

Mathematics

Complex Variables

8 pages

Scientific paper

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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