On Properties of meromorphic solutions of difference Painlevé I and II equation

  • Authors

    • Weimin Xue Beiahng University
    • Yanmei Teng Beiahng University
    2017-06-10
    https://doi.org/10.14419/gjma.v5i2.7703
  • Difference, Divided Difference, Difference Painlevé Equations, Meromorphic Function

  • Abstract

    In this paper, we investigate some properties of finite order transcendental meromorphic solutions of difference Painlev \(\)\acute{e}\) I and II equations, and obtain precise estimations of exponents of convergence of poles of difference \(\)\Delta w(z)=w(z+1)-w(z)\) and divided difference \(\)\frac{\Delta w(z)}{w(z)}\), and of fixed points of \(\)w(z+\eta)$ ($\eta\in \mathbb{C}\setminus\{0\}\)).

  • References

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  • How to Cite

    Xue, W., & Teng, Y. (2017). On Properties of meromorphic solutions of difference Painlevé I and II equation. Global Journal of Mathematical Analysis, 5(2), 37-42. https://doi.org/10.14419/gjma.v5i2.7703

    Received date: 2017-05-02

    Accepted date: 2017-06-05

    Published date: 2017-06-10