[1] Baker I N. Sets of non-normality in iteration theory. Journal of the London Mathematical Society, 1965, 40(1):499-502 [2] Beardon A F. Iteration of rational functions. complex analytic dynamical systems. Mathematics, 2007, 132(3):497-505 [3] Boas R P. Introduction to the Theory of Entire Functions. by A S B Holland. American Scientist, 1974, (5):611 [4] Carleson L, Gamelin T W. Complex Dynamics. New York:Springer, 1993 [5] Chiang Y M, Feng S. On the growth of f(z +η) and difference equations in the complex plane. Ramanujan J, 2008, 16(1):105-129 [6] Dc B, Rg H, W M, et al. Nevanlinna theory for the q-difference operator and meromorphic solutions of q-difference equations. Proceed Royal Soc Edinburgh, 2007, 137(3):457-474 [7] Gao S A, Chen Z X, Chen T W. The Complex Oscillation Theory of Linear Differential Equations. Wuhan:Huazhong Univ Sci Tech Press, 1998 [8] Halburd R G, Korhonen R J. Difference analogue of the Lemma on the Logarithmic Derivative with applications to difference equations. J Math Anal Appl, 2006, 314(2):477-487 [9] Hua L K. Introduction to Number Theory. Science Press, 1979 [10] Huang Zhibo, Chen Zongxuan, Li Qian. On properties of meremorphic solutions for complex difference equation of Malmquist type. Acta Math Sci, 2013, 33B(4):1141-1152 [11] Huang Z G, Wang J. On limit directions of Julia sets of entire solutions of linear differential equations. J Math Anal Appl, 2014, 409(1):478-484 [12] Juneja O P. On the coefficients of an entire series. J D'analyse Mathematique, 1971, 24(1):395-401 [13] Katok A, Hasselblatt B. Introduction to the Modern Theory of Dynamical Systems. Cambridge University Press, 1997 [14] Laine I, Yang C C. Clunie theorems for difference and q-difference polynomials. J London Math Soc, 2007 [15] Qiao J Y. The value distribution and Julia sets of entire functions. Acta Math Sinica, 1993, 36(3):418-422 [16] Qiao J Y. On limiting directions of Julia sets. Annales-Academiae Scientiarum Fennicae Mathematica, 2001, 26(2):391-399 [17] Qiu L, Wu S J. Radial distributions of Julia sets of meromorphic functions. J Aust Math Soc, 2006, 81(3):363-368 [18] Wang J, Chen Z X. Limiting directions of Julia sets of entire solutions to complex differential equations. Acta Math Sci, 2017, 37B(1):97-107 [19] Yang L. Value Distribution Theory. Berlin:Springer-Verlag and Science Press, 1993 [20] Zhang J, Korhonen R. On the Nevanlinna characteristic of f(qz) and its applications. J Math Anal Appl, 2010, 369(2):537-544 [21] Zheng X M, Chen Z X. Some properties of meromorphic solutions of q-difference equations. J Math Anal Appl, 2010, 361(2):472-480 [22] Zheng Xiumin, Chen Zongxuan. On properties of q-difference equations. Acta Math Sci, 2012, 32B(2):724-734 [23] Zheng J H, Wang S, Huang Z G. Some properties of Fatou and Julia sets of transcendental meromorphic functions. Bull Aust Math Soc, 2002, 66(1):1-8 |