Generalization of a theorem of Clunie and Hayman - Mathematics > Complex VariablesReport as inadecuate




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Abstract: Clunie and Hayman proved that if the spherical derivative of an entirefunction has order of growth sigma then the function itself has order at mostsigma+1. We extend this result to holomorphic curves in projective space ofdimension n omitting n hyperplanes in general position.



Author: Matthew Barrett, Alexandre Eremenko

Source: https://arxiv.org/







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