Acta mathematica scientia,Series A ›› 2011, Vol. 31 ›› Issue (6): 1610-1618.

• Articles • Previous Articles     Next Articles

The Relation Between Meromorphic Solutions of Second Order Differential Equations and Functions of Small Growth

HUANG Zhi-Gang   

  1. School of Mathematics and Physics, Suzhou University of Science and Technology, Jiangsu Suzhou 215009
  • Received:2010-12-21 Revised:2011-12-15 Online:2011-12-25 Published:2011-12-25
  • Supported by:

    国家自然科学基金(11001057)、江苏省自然科学基金(BK2010234)和江苏省青蓝工程资助

Abstract:

This article is devoted to studying the second order differential equation f''+A(z)f=0, where A(z) is a meromorphic function with at most finitely many poles. The relation between functions of small growth and meromorphic solutions, their 1st and 2nd derivatives of the above equation are obtained.

Key words: Linear differential equation, Meromorphic function, Exponent of convergence of zero-sequence, Function of small growth

CLC Number: 

  • 34M10
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