Bulletin of the Korean Mathematical Society (대한수학회보)

Korean Mathematical Society (대한수학회)
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ON ENTIRE SOLUTIONS OF NONLINEAR DIFFERENCE-DIFFERENTIAL EQUATIONS

  • Wang, Songmin (Department of Basic The Chinese People's Armed Police Forces Academy) ;
  • Li, Sheng (College of Science Guangdong Ocean University)
  • Received : 2011.09.21
  • Published : 2013.09.30
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Abstract

In this paper, we study the non-existence of finite order entire solutions of nonlinear differential-difference of the form $$f^n+Q(z,f)=h$$, where $n{\geq}2$ is an integer, $Q(z,f)$ is a differential-difference polynomial in $f$ with polynomial coefficients, and $h$ is a meromorphic function of order ${\leq}1$.

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References

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