References

TRANSCENDENTAL MEROMORPHIC SOLUTIONS OF A TYPE OF Q-DIFFERENCE COMPOSITE FUNCTIONAL EQUATIONS


[1] H. X. Yi and C. C. Yang, Theory of the Uniqueness of Meromorphic Functions (in Chinese), Beijing: Science Press, 1995.

[2] I. Laine, Nevanlinna Theory and Complex Differential Equations, Walter de Gruyter, Berlin, 1993.

[3] Z. X. Chen and K. H. Shon, On zeros and fixed points of differences of meromorphic functions, J. Math. Anal. Appl. 344(1) (2008), 373-383.
DOI: https://doi.org/10.1016/j.jmaa.2008.02.048

[4] Y. M. Chiang and S. J. Feng, On the Nevanlinna characteristic of and difference equations in the complex plane, Ramanujan J. 16(1) (2008), 105-129.
DOI: https://doi.org/10.1007/s11139-007-9101-1

[5] I. Laine, J. Rieppo and H. Silvennoinen, Remarks on complex difference equations, Comput. Methods Funct. Theory 5(1) (2005), 77-88.
DOI: https://doi.org/10.1007/BF03321087

[6] R. G. Halburd and R. J. Korhonen, Difference analogue of the lemma on the logarithmic derivative with applications to difference equations, J. Math. Anal. Appl. 314(2) (2006), 477-487.
DOI: https://doi.org/10.1016/j.jmaa.2005.04.010

[7] R. Korhonen, A new Clunie type theorem for difference polynomials, J. Difference Equ. Appl. 17(3) (2011), 387-400.
DOI: https://doi.org/10.1080/10236190902962244

[8] Y. Wang, Meromorphic solutions of some types of complex differential-difference equations, Acta Mathematica Scientia 37(3) (2017), 732-751.
DOI: https://doi.org/10.1016/S0252-9602(17)30034-6

[9] L. Y. Gao, On meromorphic solutions of a type of difference equations, Chinese Ann. Math. Ser. A 35(2) (2014), 193-202.

[10] L. Y. Gao, The growth order of solutions of systems of complex difference equations, Acta Mathematica Scientia 33(3) (2013), 814-820.
DOI: https://doi.org/10.1016/S0252-9602(13)60040-5

[11] L. Y. Gao, On entire solutions of two types of systems of complex differential-difference equations, Acta Mathematica Scientia 37(1) (2017), 187-194.
DOI: https://doi.org/10.1016/S0252-9602(16)30124-2

[12] H. Silvennoinen, Meromorphic solutions of some composite functional equations, Ann. Acad. Sci. Fenn. Math. Diss. 133 (2003), 1-39.

[13] D. C. Barnett, R. G. Halburd, R. J. Korhonen and W. Morgan, Nevanlinna theory for the q-difference operator and meromorphic solutions of q-difference equations, Proc. Roy. Soc. Edinburgh Sect. A 137(3) (2007), 457-474.
DOI: https://doi.org/10.1017/S0308210506000102

[14] J. L. Zhang and R. Korhonen, On the Nevanlinna characteristic of and its applications, J. Math. Anal. Appl. 369(2) (2010), 537-544.
DOI: https://doi.org/10.1016/j.jmaa.2010.03.038

[15] A. Z. Mokhon’ko and V. D. Mokhon’ko, Estimates for the Nevanlinna characteristics of some classes of meromorphic functions and their applications to differential equations, Sib. Math. J. 15(6) (1974), 921-934.
DOI: https://doi.org/10.1007/BF00966560

[16] R. Goldstein, Some results on factorisation of meromorphic functions, J. Lond. Math. Soc. 4(2) (1971), 357-364.
DOI: https://doi.org/10.1112/jlms/s2-4.2.357