Acta mathematica scientia,Series B

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THE NORMAL FAMILITY OF MERMORPHIC FUNCTIONS

Han Minghua; Gu Yongxing   

  1. Department of Education, Kaili University, Guizhou 556000, China; College of Mathematics and Physics, Chongqing University, Chongqing 400044, China
  • Received:2006-09-05 Revised:1900-01-01 Online:2008-10-20 Published:2008-10-20
  • Contact: Gu Yongxing

Abstract: Let F be a family of mermorphic functions in a domain D, and let a, b, c be complex numbers, a b. If for each fF, the zeros of f-c are of multiplicity ≥ k+1, and Ef(k)(a) ∈Ef(a), Ef(k)(b) ∈ Ef(b), then F is normal in D.

Key words: Mermorphic functions, normal family, shared values

CLC Number: 

  • 30D35
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