About this Journal Submit a Manuscript Table of Contents 
Abstract and Applied Analysis
Volume 2012 (2012), Article ID 407351, 8 pages
doi:10.1155/2012/407351
Research Article

Uniqueness Theorems on Difference Monomials of Entire Functions

Gang Wang,1 Deng-li Han,2 and Zhi-Tao Wen3

1Shandong Transport Vocational College, Weifang, Shandong 261206, China
2Laiwu Vocational and Technical College, Laiwu, Shandong 271100, China
3Department of Physics and Mathematics, University of Eastern Finland, P.O. Box 111, 80101 Joensuu, Finland

Received 5 April 2012; Accepted 11 June 2012

Academic Editor: Matti Vuorinen

Copyright © 2012 Gang Wang et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. W. K. Hayman, Meromorphic Functions, Clarendon Press, Oxford, UK, 1964.
  2. H. X. Yi and C. C. Yang, Uniqueness Theory of Meromorphic Functions, Science Press, Beijing, China, 1995.
  3. W. K. Hayman, Research Problems in Function Theory, The Athlone Press University of London, London, UK, 1967.
  4. W. K. Hayman, “Picard values of meromorphic functions and their derivatives,” Annals of Mathematics (2), vol. 70, pp. 9–42, 1959. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  5. J. Clunie, “On a result of Hayman,” Journal of the London Mathematical Society, vol. 42, pp. 389–392, 1967. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  6. C. C. Yang and X. H. Hua, “Uniqueness and value-sharing of meromorphic functions,” Annales Academiæ Scientiarum Fennicæ Mathematica, vol. 22, no. 2, pp. 395–406, 1997. View at Zentralblatt MATH
  7. X.-G. Qi, L. Z. Yang, and K. Liu, “Uniqueness and periodicity of meromorphic functions concerning the difference operator,” Computers & Mathematics with Applications, vol. 60, no. 6, pp. 1739–1746, 2010. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  8. Y.-M. Chiang and S.-J. Feng, “On the Nevanlinna characteristic of f(z+η) and difference equations in the complex plane,” Ramanujan Journal, vol. 16, no. 1, pp. 105–129, 2008. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  9. J.-F. Xu, Q. Han, and J.-L. Zhang, “Uniqueness theorems of meromorphic functions of a certain form,” Bulletin of the Korean Mathematical Society, vol. 46, no. 6, pp. 1079–1089, 2009. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  10. H. X. Yi, “Meromorphic functions that share one or two values,” Complex Variables and Elliptic Equations, vol. 28, no. 1, pp. 1–11, 1995. View at Zentralblatt MATH
  11. R. G. Halburdand and R. J. Korhonen, “Nevanlinna theory for the difference operator,” Annales Academiæ Scientiarium Fennicæ, vol. 31, no. 2, pp. 463–478, 2006. View at Zentralblatt MATH