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二阶齐次线性微分方程亚纯解的迭代级

The Iterated Order of Meromorphic Solutions of Second Order Homogeneous Linear Differential Equation
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摘要 研究了二阶齐次线性微分方程非零亚纯解的迭代级与零点迭代收敛指数,得到了它们的精确估计. In this paper, we study the finite iterated zero sequence of nonzero meromorphic solutions of obtain some precision evaluation. order of growth and the iterated convergence exponent of the second order homogeneous linear differential equation, and obtain some precision evaluation.
出处 《海南大学学报(自然科学版)》 CAS 2007年第2期109-116,共8页 Natural Science Journal of Hainan University
基金 国家自然科学基金资助项目(10471048)
关键词 二阶线性微分方程 迭代级 迭代收敛指数 linear differential equation iterated order iterated convergence exponent
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参考文献4

  • 1LIISA Kinnunen.Linear differential equations with solution of finite iterated order[J].Southeast Asian Bulletin of Mathematics,1988,22:385 -405.
  • 2BERNAL L G.On growth k-order of solutions of a complex homogeneous linear differential equations[J].Proc.Amer.Math.Soc.,1987,101:317 -322.
  • 3LAINE I.Nevanlinna Theory and Complex Differential Equations[M].New York:Walter de Gruyter,Berlin,1993.
  • 4BANK S,LAINE I.On the zeros of meromorphic solutions of second-order linear differential equations[J].Comment.Math.Helvetici,1983,58:656-677.

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