Acknowledgement
Supported by : Nature Science Foundation of China, PCSIRT
References
- Z. X. Chen, Growth and zeros of meromorphic solution of some linear difference equations, J. Math. Anal. Appl. 373 (2011), no. 1, 235-241. https://doi.org/10.1016/j.jmaa.2010.06.049
- Z. X. Chen, Zeros of entire solutions to complex linear difference equations, Acta Math. Sci. Ser. B Engl. Ed. 32 (2012), no. 3, 1141-1148.
- W. Cherry and Z. Ye, Nevanlinna's Theory of Value Distribution, Berlin-Heidelberg:Springer-Verlag, 2001.
-
Y. M. Chiang and S. J. Feng, On the Nevanlinna characteristic of f(
$z+{\eta}$ ) and difference equations in the complex plane, Ramanujan J. 16 (2008), no. 1, 105-129. https://doi.org/10.1007/s11139-007-9101-1 - Y. M. Chiang and S. J. Feng, On the growth of logarithmic differences, difference quotients and logarithmic derivatives of meromorphic functions, Trans. Amer. Math. Soc. 361 (2009), no. 7, 3767-3791. https://doi.org/10.1090/S0002-9947-09-04663-7
- W. Hayman, Meromorphic Functions, Oxford: Clarendon Press, 1975.
- I. Laine, Nevanlinna Theory and Complex Differential Equations, Berlin-New York, Walter de Gruyter, 1993.
- B. Q. Li, On certain non-linear differential equations in complex domains, Arch. Math. (Basel) 91 (2008), no. 4, 344-353. https://doi.org/10.1007/s00013-008-2648-2
- K. Liu, Meromorphic functions sharing a set with applications to difference equations, J. Math. Anal. Appl. 359 (2009), no. 1, 384-393. https://doi.org/10.1016/j.jmaa.2009.05.061
- K. Liu, T. B. Cao, and H. Z. Cao, Entire solutions of Fermat type differential-difference equations, Arch. Math. (Basel) 99 (2012), no. 2, 147-155. https://doi.org/10.1007/s00013-012-0408-9
- K. Liu and L. Z. Yang, On entire solutions of some differential-difference equations, Comput. Methods Funct. Theory 13 (2013), no. 3, 433-447. https://doi.org/10.1007/s40315-013-0030-2
- P. Montel, Lecons sur les familles normales de fonctions analytiques et leurs applications, Gauthier-Villars, Paris, (1927), 135-136 (French).
- J. F. Tang and L. W. Liao, The transcendental meromorphic solutions of a certain type of nonlinear differential equations, J. Math. Anal. Appl. 334 (2007), no. 1, 517-527. https://doi.org/10.1016/j.jmaa.2006.12.075
- C. C. Yang, On entire solutions of a certain type of nonlinear differential equations, Bull. Aust. Math. Soc. 64 (2001), no. 3, 377-380. https://doi.org/10.1017/S0004972700019845
- C. C. Yang and P. Li, On the transcendental solutions of a certain type of nonlinear differential equations, Arch. Math. (Basel) 82 (2004), no. 5, 442-448. https://doi.org/10.1007/s00013-003-4796-8
- C. C. Yang and H. X. Yi, Uniqueness Theory of Meromorphic Functions, Kluwer Academic Publishers, Dordrecht, 2003.
- X. Zhang and L.W. Liao, On a certain type of nonlinear differential equations admitting transcendental meromorphic solutions, Sci. China Math. 56 (2013), no. 10, 2025-2034. https://doi.org/10.1007/s11425-013-4594-0
Cited by
- On Cartan's theorem for linear operators 2017, https://doi.org/10.1002/mana.201500279