Bulletin of the Korean Mathematical Society (대한수학회보)

Korean Mathematical Society (대한수학회)
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UNIQUENESS OF MEROMORPHIC SOLUTIONS OF A CERTAIN TYPE OF DIFFERENCE EQUATIONS

  • Chen, Jun-Fan (School of Mathematics and Statistics Fujian Normal University) ;
  • Lin, Shu-Qing (School of Mathematics and Statistics Fujian Normal University)
  • Received : 2021.07.03
  • Accepted : 2021.11.04
  • Published : 2022.07.31
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Abstract

In this paper, we study the uniqueness of two finite order transcendental meromorphic solutions f(z) and g(z) of the following complex difference equation A1(z)f(z + 1) + A0(z)f(z) = F(z)e𝛼(z) when they share 0, ∞ CM, where A1(z), A0(z), F(z) are non-zero polynomials, 𝛼(z) is a polynomial. Our result generalizes and complements some known results given recently by Cui and Chen, Li and Chen. Examples for the precision of our result are also supplied.

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Acknowledgement

The authors would like to thank the referees for their thorough comments and helpful suggestions.

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