References
- W. Bergweiler and J.K. Langley, Zeros of differences of meromorphic functions, Math. Proc. Cambridge Philos. Soc. 142 (2007), no. 1, 133–147.
- Y.-M. Chiang and S.-J. Feng, On the Nevanlinna characteristic of f(z + η) and difference equations in the complex plane, Ramanujan J. 16 (2008), no. 1, 105–129.
- F. Gross, On the equation fn + gn = 1, Bull. Amer. Math. Soc. 72 (1966), 86–88.
- F. Gross, On the functional equation fn + gn = hn, Amer. Math. Monthly 73 (1966), no. 10, 1093–1096.
- F. Gross, On the equation fn + gn = 1. II, Bull. Amer. Math. Soc. 74 (1968), no. 4, 647–648.
- F. Gross, Factorization of Meromorphic Functions, Mathematics Research Center, Naval Research Laboratory, Washington, DC, 1972.
- 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 (2006), no. 2, 477–487.
- W.K. Hayman, Meromorphic Functions, Clarendon Press, Oxford, 1964.
- P.-C. Hu and C.-C. Yang, Uniqueness of meromorphic functions on ℂm, Complex Variables Theory Appl. 30 (1996), no. 3, 235–270.
- K. Liu, I. Laine, L. Yang, Complex Delay-Differential Equations, De Gruyter, Berlin, 2021.
- K. Liu, L. Ma, and X. Zhai, The generalized Fermat type difference equations, Bull. Korean Math. Soc. 55 (2018), no. 6, 1845–1858.
- K. Liu and L. Yang, On entire solutions of some differential-difference equations, Comput. Methods Funct. Theory 13 (2013), no. 3, 433–447.
- K. Liu and L. Yang, A note on meromorphic solutions of Fermat types equations, An. Ştiinţ. Univ. Al. I. Cuza Iaşi. Mat. (N.S.) 62, vol. 1 (2016), no. 2, 317–325.
- E.G. Saleeby, On complex analytic solutions of certain trinomial functional and partial differential equations, Aequationes Math. 85 (2013), no. 3, 553–562.
- W. Stoll, Holomorphic Functions of Finite Order in Several Complex Variables, Amer. Math. Soc., Providence, RI, 1974.
- A.J. Wiles, Modular elliptic curves and Fermat’s last theorem, Ann. of Math. (2) 141 (1995), no. 3, 443–551.
- C.-C. Yang and H.-X. Yi, Uniqueness Theory of Meromorphic Functions, Science Press, Beijing/New York, 2003.
- Z. Ye, On Nevanlinna’s second main theorem in projective space, Invent. Math. 122 (1995), no. 3, 475–507.
- M. Zhang, J. Xiao, and M. Fang, Entire solutions for several Fermat type differential difference equations, AIMS Math. 7 (2022), no. 7, 11597–11613.