The Zeros of a Certain Homogeneous Difference Polynomials of Meromorphic Functions

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References

[1] J. M. Whittaker, “Interpolatory Function Theory,” Cambridge Tracts in Mathematics and Mathematical Physics, No. 33, Cambridge University Press, New York, 1935, p. 52.

[2] M. Ablowitz, R. G. Halburd and B. Herbst, “On the Extension of Painleve Property to Difference Equations,” Nonlinearty, Vol. 13, No. 3, 2000, pp. 889-905.
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[3] R. G. Halburd and R. Korhonen, “Difference Analogue of the Lemma on the Logarithmic Derivative with Applications to Difference Equations,” Journal of Mathematical Analysis and Applications, Vol. 314, No. 2, 2006, pp. 477- 487. doi:10.1016/j.jmaa.2005.04.010

[4] R. G. Halburd and R. Korhonen, “Nevanlinna Theory for the Difference Operator,” Annales Academiae Scientiarum Fennicae Mathematica, Vol. 31, No. 2, 2006, pp. 463-478.

[5] I. Laine and C. C. Yang, “Value Distribution of Difference Polynomials,” Proceedings of the Japan Academy, Vol. 83, No. 8, 2007, pp. 148-151.
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[6] Y. M. Chiang and S. J. Feng, “On the Nevanlinna Characteristic of f(z + c) and Difference Equations in the Complex Plane,” The Ramanujan Journal, Vol. 16, No. 1, 2008, pp. 105-129. doi:10.1007/s11139-007-9101-1

[7] W. Bergweiler and J. K. Langley, “Zeros of Differences of Meromorphic Functions,” Mathematical Proceedings of the Cambridge Philosophical Society, Vol. 142, No. 1, 2007, pp. 133-147. doi:10.1017/S0305004106009777

[8] Z. X. Chen and K. H. Shon, “On Zeros and Fixed Points of Difference of Meromorphic Functions,” Journal of Mathematical Analysis and Applications, Vol. 344, No. 1, 2008, pp. 373-383. doi:10.1016/j.jmaa.2008.02.048

[9] Z. X. Chen and K. H. Shon, “Estimates for the Zeros of Difference of Meromorphic Functions,” Science China, Series A, Vol. 52, No. 11, 2009, pp. 2447-2458.
doi:10.1007/s11425-009-0159-7