Acta mathematica scientia,Series B

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ESTIMATES FOR THE HYPER-ORDER OF SOLUTIONS OF CERTAIN LINEAR DIFFERENTIAL EQUATIONS

Jiang Liangying; Chen Zongxuan   

  1. Wuhan Institute of Physics and Mathematics, the Chinese Academy of Sciences, Wuhan 430071, China
    Graduate School of the Chinese Academy of Sciences, Beijing 100039, China
  • Received:2006-08-23 Revised:2007-02-28 Online:2008-04-20 Published:2008-04-20
  • Contact: Jiang Liangying

Abstract:

In this article, the authors study the growth of certain second order
linear differential equation f''+A(z)f'+B(z)f=0 and give precise estimates for the hyper-order of solutions of infinite order. Under similar conditions, higher order differential equations will be considered.

Key words: Linear differential equation, entire function, hyper-order, genus

CLC Number: 

  • 30D35
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