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Journal of Function Spaces
Volume 2015 (2015), Article ID 426576, 7 pages
http://dx.doi.org/10.1155/2015/426576
Research Article

Some New Results on Fixed Points of Meromorphic Functions Defined in Annuli

1School of Mathematics and Statistics, Hubei University of Science and Technology, Xianning 437100, China
2Beijing Key Laboratory of Information Service Engineering, Department of General Education, Beijing Union University, No. 97 Bei Si Huan Dong Road, Chaoyang District, Beijing 100101, China
3School of Mathematics and Computer Science, Xinyu University, Xinyu 338004, China

Received 16 July 2015; Accepted 9 November 2015

Academic Editor: Adrian Petrusel

Copyright © 2015 Zhaojun Wu 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. C. T. Chuang and C. C. Yang, Theory of Fix Points and Factorization of Meromorphic Functions, Mathematical Monogragh Series, Peking University Press, 1986.
  2. J. H. Zhu, “The general form of Hayman's inequality and the fixed points of meromorphic functions,” Kexue Tongbao, vol. 33, no. 4, pp. 265–269, 1988. View at Google Scholar · View at MathSciNet
  3. I. N. Baker, “Some entire functions with fix-points of every order,” Journal of the Australian Mathematical Society, vol. 1, pp. 203–209, 1960. View at Google Scholar
  4. I. Lahiri, “Milloux theorem, deficiency and fix-points for vector-valued meromorphic functions,” The Journal of the Indian Mathematical Society, vol. 59, no. 1–4, pp. 45–60, 1993. View at Google Scholar · View at MathSciNet
  5. A. Y. Khrystiyanyn and A. A. Kondratyuk, “On the Nevanlinna theory for meromorphic functions on annuli. I,” Mathematychni Studii, vol. 23, pp. 19–30, 2005. View at Google Scholar
  6. A. Y. Khrystiyanyn and A. A. Kondratyuk, “On the Nevanlinna theory for meromorphic functions on annuli II,” Mathematychni Studii, vol. 24, no. 2, pp. 57–68, 2005. View at Google Scholar
  7. M. E. Lund and Z. Ye, “Logarithmic derivatives in annuli,” Journal of Mathematical Analysis and Applications, vol. 356, no. 2, pp. 441–452, 2009. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet · View at Scopus
  8. T.-B. Cao and Z.-S. Deng, “On the uniqueness of meromorphic functions that share three or two finite sets on annuli,” Proceedings—Mathematical Sciences, vol. 122, no. 2, pp. 203–220, 2012. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  9. T. B. Cao and Y. H. Yi, “Uniqueness theorems of meromorphic functions shares sets IM on Annuli,” Acta Mathematica Sinica (Chinese Series), vol. 54, pp. 623–632, 2011. View at Google Scholar
  10. T.-B. Cao, H.-X. Yi, and H.-Y. Xu, “On the multiple values and uniqueness of meromorphic functions on annuli,” Computers & Mathematics with Applications, vol. 58, no. 7, pp. 1457–1465, 2009. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  11. H.-Y. Xu and Z.-X. Xuan, “The uniqueness of analytic functions on annuli sharing some values,” Abstract and Applied Analysis, vol. 2012, Article ID 896596, 13 pages, 2012. View at Publisher · View at Google Scholar · View at MathSciNet
  12. Y. X. Chen and Z. J. Wu, “Exceptional values of meromorphic functions and of their derivatives on annuli,” Annales Polonici Mathematici, vol. 105, no. 2, pp. 154–165, 2012. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  13. A. Fernández, “On the value distribution of meromorphic function in the punctured plane,” Mathematychni Studii, vol. 34, pp. 136–144, 2010. View at Google Scholar
  14. A. A. Kondratyuk and I. Laine, “Meromorphic functions in multiply connected domains,” in Fourier Series Methods in Complex Analysis. Proceedings of the Workshop, Mekrijärvi, Finland, July 2005, vol. 10, pp. 9–111, University of Joensuu, Department of Mathematics, 2006. View at Google Scholar
  15. L. Yang, Value Distribution Theory, Translated and Revised from the 1982 Chinese Original, Springer, Berlin, Germany; Science Press, Beijing, China, 1993.