Chinese Quarterly Journal of Mathematics ›› 2009, Vol. 24 ›› Issue (2): 278-283.

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On the Growth of Solutions of a Class of Higher Order Linear Differential Equations with Meromorphic Coefficients

  

  1. 1. School of Mathematical Sciences, South China Normal University2. School of Math and Computer Science, Jiangxi Science and Technology Normal University3. Institute of Mathematics and Informatics, Jiangxi Normal University
  • Received:2006-03-23 Online:2009-06-30 Published:2023-08-11
  • About author:MAO Zhi-qiang(1972-), male, native of Fengcheng, Jiangxi, an associate professor of Jiangxi Science and Technology Normal University, Ph.D., engages in complex analysis; LIU Hui-fang(1973-), female, native of Fengcheng, Jiangxi, an associate professor of Jiangxi Normal University, Ph.D., engages in complex analysis.

Abstract: In this paper, we investigate the growth of solutions of higher order linear differential equations with meromorphic coefficients. Under certain conditions, we obtain precise estimation of growth order and hyper-order of solutions of the equation.

Key words: linear differential equation, meromorphic function, growth order, hyper-order

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