References
- R. B. Ash, Complex Variables, Academic Press, New York-London, 1971.
- D. C. Barnett, R. G. Halburd, R. J. Korhonen, and W. Morgan, Nevanlinna theory for the q-difference operator and meromorphic solutions of q-difference equations, Proc. Roy. Soc. Edinburgh Sect. A. 137 (2007), no. 3, 457-474. https://doi.org/10.1017/S0308210506000102
- Z. X. Chen, Value distribution of products of meromorphic functions and their differences, Taiwanese J. Math. 15 (2011), no. 4, 1411-1421. https://doi.org/10.11650/twjm/1500406353
- Z. X. Chen, Zeros of entire solutions to complex linear difference equations, Acta Math. Sci. Ser. B Engl. Ed. 32 (2012), no. 3, 1141-1148.
- Z. X. Chen, Z. B. Huang, and X. M. Zheng, On properties of difference polynomials, Acta Math. Sci. Ser. B Engl. Ed. 31 (2011), no. 2, 627-633.
-
Y. M. Chiang and S. J. Feng, On the Nevanlinna characteristic f(z +
$\eta$ ) and difference equations in the complex plane, Ramanujan J. 16 (2008), no. 1, 105-129. https://doi.org/10.1007/s11139-007-9101-1 - R. G. Halburd and R. J. Korhonen, Nevanlinna theory for the difference operator, Ann. Acad. Sci. Fenn. Math. 31 (2006), no. 2, 463-478.
- 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. https://doi.org/10.1016/j.jmaa.2005.04.010
- W. K. Hayman, Picard values of meromorphic functions and their derivatives, Ann. Math. 70 (1959), 9-42. https://doi.org/10.2307/1969890
- W. K. Hayman, Meromorphic Functions, Clarendon Press, Oxford, 1964.
- I. Laine, Nevanlinna Theory and Complex Differential Equations, Walter de Gruyter, Berlin, 1993.
- I. Laine and C. C. Yang, Value distribution of difference polynomials, Proc. Japan Acad. Ser. A Math. Sci. 83 (2007), no. 8, 148-151. https://doi.org/10.3792/pjaa.83.148
- K. Liu, X. L. Liu, and T. B. Cao, Uniqueness and zeros of q-shift difference polynomials, Proc. Indian Acad. Sci. Math. Sci. 121 (2011), no. 3, 301-310. https://doi.org/10.1007/s12044-011-0038-3
- K. Liu and X. G. Qi, Meromorphic solutions of q-shift difference equations, Ann. Polon. Math. 101 (2011), no. 3, 215-225. https://doi.org/10.4064/ap101-3-2
- K. Liu and L. Z. Yang, Value distribution of the difference operator, Arch. Math. (Basel) 92 (2009), no. 3, 270-278. https://doi.org/10.1007/s00013-009-2895-x
- J. F. Xu and X. B. Zhang, The zeros of q-difference polynomials of meromorphic functions, Adv. Difference Equ. 2012 (2012), 200, 10 pp. https://doi.org/10.1186/1687-1847-2012-10
- L. Yang, Value Distribution Theory, Springer-Verlag, Berlin, 1993.
- H. X. Yi and C. C. Yang, Uniqueness Theory of Meromorphic Functions, Science Press 1995.
- J. L. Zhang and R. J. Korhonen, On the Nevanlinna characteristic of f(qz) and its applications, J. Math. Anal. Appl. 369 (2010), no. 2, 537-544. https://doi.org/10.1016/j.jmaa.2010.03.038