References
- T. B. Cao, Z. X. Chen, X.M. Zheng and J. Tu, On the iterated order of meromorphic solutions of higher order linear differential equations, Ann. of Diff. Eqs., 21(2005), 111-122.
-
Z. X. Chen, The growth of solutions of differential equation f''+
$e^{-z}$ f'+Q(z)f = 0, Science in China (series A), 31(2001), 775-784. - Z. X. Chen, The zero, pole and order of meromorphic solutions of differential equations with meromorphic coefficients. Kodai Math. J., 19(1996), 341-354. https://doi.org/10.2996/kmj/1138043651
- Z. X. Chen, and C. C. Yang, Some further results on the zeros and growths of entire solutions of second order linear differential equations, Kodai Math. J., 22(1999), 273-285. https://doi.org/10.2996/kmj/1138044047
-
M. Frei, Uber die subnormalen Losungen der Differentialgleichungen w''+
$e^{−z}w'$ +(konst.)f = 0, Comment Math. Helv., 36(1961), 1-8. - G. Gundersen, Estimates for the logarithmic derivative of a meromorphic function, Plus Similar Estimates, J. London Math. Soc., 37(1988), 88-104.
- G. Gundersen, Finite order solutions of second order linear differential equations, Tran. Amer. Math. Soc., 305(1988), 415-429. https://doi.org/10.1090/S0002-9947-1988-0920167-5
- W. Hayman, Meromorphic Functions, Clarendon Press, Oxford, 1964.
- L. Kinnunen, Linear differential equations with solutions of finite iterated order, Southeast Asian Bull. Math., 22(1998), 385-405.
- I. Laine, Nevanlinna theory and complex differential equations, Walter de Gruyter, Berlin-New York, 1993.
- J. Wang and H. X. Yi, Fixed points and hyper order of differential polynomials generated by solutions of differential equation, Complex Var. Theory Appl., 48(2003), 83-94. https://doi.org/10.1080/0278107021000037048
- L. Yang, Value Distribution Theory and New Research, Beijing, Science press, 1982.
- L. Z. Yang, Growth of linear differential equations and their applications, Israel J. Math, 147(2005), 359-372. https://doi.org/10.1007/BF02785372
- H. X. Yi and C. C. Yang, The Uniqueness Theory of Meromorphic Functions, Science Press, Beijing, 1995.
Cited by
- On the meromorphic solutions of linear differential equations on the complex plane vol.364, pp.1, 2010, https://doi.org/10.1016/j.jmaa.2009.11.018