Acta mathematica scientia,Series A

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Normality Theorems of Algebroid Functions

Gan Huilin; Sun Daochun

  

  1. School of Mathematical Science, South China Normal University, Guangzhou 510631
  • Received:2005-05-08 Revised:2006-07-15 Online:2007-08-25 Published:2007-08-25
  • Contact: Gan Huilin

Abstract: Let F be a family of algebroid functions defined in a subdomain D of the sphere V, if the number of branch points of all f from F is finite, and there exist three fix complex values 1,a2,a3 such that ∑3 k=1n(D,ak,f)≤1 holds for each f\in F, then F is normal in D. Normality Theorems of Algebroid Functions.

Key words: Algebroid function, Normal family, Covering surface.

CLC Number: 

  • 30D45
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