Bulletin of the Korean Mathematical Society (대한수학회보)

Korean Mathematical Society (대한수학회)
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UNIQUENESS OF ENTIRE FUNCTIONS AND DIFFERENTIAL POLYNOMIALS

  • Xu, Junfeng (DEPARTMENT OF MATHEMATICS SHANDONG UNIVERSITY) ;
  • Yi, Hongxun (DEPARTMENT OF MATHEMATICS SHANDONG UNIVERSITY)
  • Published : 2007.11.30
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Abstract

In this paper, we study the uniqueness of entire functions and prove the following result: Let f and g be two nonconstant entire functions, n, m be positive integers. If $f^n(f^m-1)f#\;and\;g^n(g^m-1)g#$ share 1 IM and n>4m+11, then $f{\equiv}g$. The result improves the result of Fang-Fang.

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References

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