Acta mathematica scientia,Series A

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A Note on Hayman's Problem and the Sharing Value

 LIN Wei-Chuan, HUANG Bin   

  • Online:2004-08-25 Published:2004-08-25
  • Supported by:

    国家自然科学基金(10371069)和福建省青年科技创新基金(2003J006)资助

Abstract:

Let f(z) be a nonconstant entire function, n be a positive integer grea ter than one, and a be a nonzero finite complex number. If f^n and (f^n)^(k) share a, then nf′=ωf, where ω  is the root of  equation t^k=1.

Key words: Entire function, Meromorphic function, Normal function;Sharing value

CLC Number: 

  • 30D35
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