ON DIRECT TRANSCENDENTAL SINGULARITIES OF THE INVERSE FUNCTION OF AN ALGEBROIDAL FUNCTION

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作者
吕以辇
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[1] Institute of Mathematics
[2] Academia
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<正> In this paper we prove some theorems on the subject indicated by the title. G. Valiron hasstudied the same subject but only for a particular class of algebroidal functions. We mainly studythe relationship between the order of an algebroidal function and the direct transcendental singulari-ties. As a result, we extend Alhfor's theorem on meromorphic functions to algebroidal functions.
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