[1] Ablowitz M, Halburd R G, Herbst B. On the extension of Painlevé property to difference equations. Nonlinearty, 2000, 13:889-905
[2] Bank S, Gundersen G, Laine I. Meromorphic Solutions of the Riccati Differential Equation. Ann Acad Sci Fenn, Ser A I Math, 1981, 6:369-398
[3] Bergweiler W, Langley J K. Zeros of differences of meromorphic functions. Math Proc Camb Phil Soc, 2007, 142:133-147
[4] Chen Z X. Complex oscillation of meromorphic solutions for the Pielou logistic equation. J Difference Equ Appl, 2013, 19(11):1795-1806
[5] Chen Z X, Shon K H. Growth and difference properties of meromorphic solutions on difference equations. Taiwanese J Math, 2015, 19(5):1401-1414
[6] Cui N, Chen Z X. Entire functions sharing one small function CM with their shifts and difference operators. Acta Math Sci, 2017, 37B(3):786-798
[7] Halburd R G, Korhonen R. Meromorphic solution of difference equation, integrability and the discrete Painlevé equations. J Phys A:Math Theor, 2007, 40:1-38
[8] Halburd R G, Korhonen R. Existence of finite-order meromorphic solutions as a detector of integrability in difference equations. Physica D, 2006, 218:191-203
[9] Hayman W K. Meromorphic Functions. Oxford:Clarendon Press, 1964
[10] Heittokangas J, Korhonen R, Laine I, Rieppo J, Zhang J. Value sharing results for shifts of meromorphic functions, and sufficient conditions for periodicity. J Math Anal Appl, 2009, 355:352-363
[11] Ishizaki K. On difference Riccati equations and second order linear difference equations. Aequationes Math, 2011, 81:185-198
[12] Laine I. Nevanlinna Theory and Complex Differential Equations. Berlin:W de Gruyter, 1993
[13] Li S, Gao Z S. Finite order meromorphic solutions of linear difference equations. Proc Japan Acad, Ser A, 2011, 87(5):73-76
[14] Ozawa M. On the existence of prime periodic entire functions. Kodai Math Sem Rep, 1978, 29308-321
[15] Yanagihara N. Meromorphic solutions of some difference equations. Funkcial Ekvac, 1980, 23:309-326
[16] Yao L P, Chen Z X. A note on value distribution of difference polynomials of meromorphic functions. Acta Math Sci, 2014, 34B(6):1826-1834
[17] Zhang R R, Chen Z X. On meromorphic solutions of Riccati and linear difference equations. Acta Math Sci, 2013, 33B(5):1243-1254
[18] Zheng X M, Tu J. Growth of meromorphic solutions of linear difference equations. J Math Anal Appl, 2011, 384:349-356 |