Publication Cover
Applicable Analysis
An International Journal
Volume 85, 2006 - Issue 9
43
Views
0
CrossRef citations to date
0
Altmetric
Original Articles

The growth of meromorphic solutions for a class of higher-order linear differential equations

&
Pages 1189-1199 | Received 01 Jun 2004, Accepted 13 Dec 2004, Published online: 07 Oct 2011

References

  • Hayman , W . 1964 . Meromorphic Functions , Oxford : Clarendon Press .
  • Laine , I . 1993 . Nevanlinna Theory and Complex Differential Equations , Berlin : W. de Gruyter .
  • Gundersen , G . 1988 . Estimates for the logarithmic derivative of a meromorphic function, plus similar estimates . Journal of London Mathmatical Society , 37 ( 2 ) : 88 – 104 .
  • Frei , M . 1962 . Uber die subnormalen losungen der differentialgleichung w′′+e − z w′+(konst.)w=0 . Commentarii Mathametical Helvetici , 36 : 1 – 8 .
  • Ozawa , M . 1980 . On a solution of w′′+e − z w′+(az+b)w=0 . Kodai Mathematical Journal , 3 : 295 – 309 .
  • Amemiya , I and Ozawa , M . 1981 . Nonexistence of finite order solutions of w′′+e − z w′+Q(z)w=0 . Hokkaido Mathematical Journal , 10 : 1 – 17 .
  • Gundersen , G . 1986 . On the question of whether f′′+e − z f′+B(z)f=0 can admit a solution f≢ 0 of finite order . Proceedings of the Royal Society of Edinburgh , 102A : 9 – 17 .
  • Langley , JK . 1986 . On complex oscillation and a problem of Ozawa . Kodai Mathematical Journal , 9 : 430 – 439 .
  • Ki-Ho , Kwon . 1996 . Nonexistence of finite order solutions of certain second order linear differential equations . Kodai Mathematical Journal , 19 : 379 – 387 .
  • Chen , Zongxuan . 1996 . The zeros of meromorphic solutions of higher order linear differential equations . Acta Mathematica Scientia , 16 ( 3 ) : 276 – 283 .
  • Yi , Caifeng and Chen , Zongxuan . 2001 . The properties of solutions of homogeneous linear differential equations with meromorphic coefficients . Mathematica Applicata , 14 ( 3 ) : 101 – 107 .
  • Chen , Zongxuan . 2001 . The growth of solutions of f′′+e − z f′+Q(z)f=0 . Science in China (Series A) , 31 ( 9 ) : 775 – 784 .
  • Chen , Zongxuan . 1999 . On the rate of growth of meromorphic solutions of higher order linear differential equations . Acta Mathematica Sinica , 42 ( 3 ) : 551 – 558 .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.