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GROWTH AND FIXED POINTS OF MEROMORPHIC SOLUTIONS OF HIGHER-ORDER LINEAR DIFFERENTIAL EQUATIONS

  • Xu, Jun-Feng (DEPARTMENT OF MATHEMATICS WUYI UNIVERSITY) ;
  • Yi, Hong-Xun (DEPARTMENT OF MATHEMATICS SHANDONG UNIVERSITY)
  • Published : 2009.07.01

Abstract

In this paper, we investigate the growth and fixed points of meromorphic solutions of higher order linear differential equations with meromorphic coefficients and their derivatives. Because of the restriction of differential equations, we obtain that the properties of fixed points of meromorphic solutions of higher order linear differential equations with meromorphic coefficients and their derivatives are more interesting than that of general transcendental meromorphic functions. Our results extend the previous results due to M. Frei, M. Ozawa, G. Gundersen, and J. K. Langley and Z. Chen and K. Shon.

Keywords

References

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  2. Growth and fixed points of meromorphic solutions of nonhomogeneous linear differential equations vol.2013, pp.1, 2013, https://doi.org/10.1186/1687-1847-2013-370