| [1] Hayman W K. Meromorphic Functions. Oxford: Clarendon Press, 1964
[2] Laine I. Nevanlinna Theory and Complex Differential Equations. Berlin: W de Gruyter, 1993
[3] Ablowitz M, Halburd R G, Herbst B. On the extension of Painlev´e property to difference equations. Nonlinearity, 2000, 13: 889–905
[4] Bergweiler W, Langley J K. Zeros of differences of meromorphic functions. Math Proc Camb Phil Soc, 2007, 142: 133–147
[5] Chen Z X, Huang Z B, Zhang R R. On difference equations relating to Gamma function. Acta Math Sci, 2011, 31B(4): 1281–1294
[6] Chen Z X, Shon K H. On zeros and fixed points of differences of meromorphic functions. J Math Anal Appl, 2008, 344: 373–383
[7] 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
[8] Chen Z X. On growth, zeros and poles of meromorphic solutions of linear and nonlinear difference equations. Sci China, Ser A, 2011, 54: 2123–2133
[9] Chiang Y M, Feng S J. On the Nevanlinna characteristic of f(z+) and difference equations in the complex plane. Ramanujan J, 2008, 16: 105–129
[10] 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
[11] Halburd R G, Korhonen R. Finite-order meromorphic solutions and the discrete Painlev´e equations. Proc London Math Soc, 2007, 94: 443–474
[12] Heittokangas J, Korhonen R, Laine I, Rieppo J, Hohge K. Complex difference equations of Malmquist type. Comput Methods Funct Theory, 2001, 1: 27–39
[13] Ishizaki K. On difference Riccati equations and second order linear difference equations. Aequat Math, 2011, 81: 185–198
[14] Korhonen R. A new Clunie type theorem for difference polynomials. J Differ Equ Appl, 2011, 17: 387–400
[15] Korhonen R, Ronkainen O. Order reduction method for linear difference equations. Proc Amer Math Soc, 2011, 139(9): 3219–3229
[16] Gol’dberg A A, Ostrovskii I V. The Distribution of Values of Meromorphic Functions. Moscow: Nauki, 1970 |