[1] Ablowitz M, Halburd R G, Herbst B. On the extension of Painlev´e property to difference equations. Nonlinearty, 2000, 13: 889–905

[2] Bank S B, Laine I. On the oscillation theory of f ´´+ Af = 0, where A is entire. Trans Amer Math Soc, 1982, 273(1): 351–363

[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. Growth and zeros of meromorphic solution of some linear difference equations. J Math Anal Appl, 2011, 373: 235–241

[5] Chen Z X, Shon K H. Estimates for zeros of differences of meromorphic functions. Science in China, 2009, 52A(11): 2447–2458

[6] Chen Z X, Shon K H. Value distribution of meromorphic solutions of certain difference Painlev´e equations. J Math Anal Appl, 2010, 364: 556–566

[7] Chen Z X, Huang Z B, Zhang R R. On difference equations relating to Gamma function. Acta Mathematica Scientia, 2011, 31B(4): 1281–1294

[8] Chen Z X, Huang Z B, Zheng X M. On properties of difference polynomials. Acta Mathematica Scientia, 2011, 31B(2): 627–633

[9] Chiang Y M, Feng S J. On the Nevanlinna characteristic of f(z+) and difference equations in the complex plane. The Ramanujan J, 2008, 16: 105–129

[10] Gao S A, Chen Z X, Chen T W. Complex Oscillation Theory of Linear Differential Equations. Wuhan: Huazhong University of Science and Technology Press, 1998 (Chinese)

[11] Halburd R G, Korhonen R. Difference analogue of the lemma on the logarithmic derivative with applica-tions to difference equations. J Math Anal Appl, 2006, 314: 477–487

[12] Halburd R G, Korhonen R. Meromorphic solution of difference equation, integrability and the discrete Painlev´e equations. J Phys A: Math Theor, 2007, 40: 1–38

[13] Hayman W K. Meromorphic Functions. Oxford: Clarendon Press, 1964

[14] Heittokangas J, Korhonen R, Laine I, Rieppo J, Tohge K. Complex difference equations of Malmquist type. Comput Methods Funct Theory, 2001, 1: 27–39

[15] 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

[16] Laine I, Yang C C. Clunie theorems for difference and q-difference polynomials. J London Math Soc, 2007, 76(3): 556–566

[17] Laine I. Nevanlinna Theory and Complex Differential Equations. Berlin: W de Gruyter, 1993

[18] Yang L. Value Distribution Theory. Beijing: Science Press, 1993

[19] Yang C C, Yi H X. Uniqueness Theory of Meromorphic Functions. Dordrecht: Kluwer Academic Publishers Group, 2003