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Uniqueness of Entire Functions and Differential Polynomials Sharing one Value

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In this paper, we shall utilize Nevanlinna value distribution theory to studythe uniqueness problems on entire functions and differential polynomials sharing one value. Our theorems improve or generalize some results of Zhang and Lin, Chen, Zhang, Lin and Chen.

Abstract

In this paper, we shall utilize Nevanlinna value distribution theory to studythe uniqueness problems on entire functions and differential polynomials sharing one value. Our theorems improve or generalize some results of Zhang and Lin, Chen, Zhang, Lin and Chen.

참고문헌 (15)

  1. S. S. Bhoosnurmath, "Uniqueness and value-sharing of meromorphic functions", Computers and Mathematics with Applications, 53, pp.1191~1205 (2007)
  2. J. F. Chen, "Uniqueness of entire functions that share one value", Computers and Mathematics with Applications, 56, pp.3000~3014 (2008)
  3. M. L. Fang, "Uniqueness and value-sharing of entire functions", Computers and Mathematics with Applications, 44, pp.828~831 (2002)
  4. M. L. Fang, "Entire functions that share one value", Journal of Nanjing University Mathematical Biquarterly, 13, pp.44~48 (1996)
  5. W. K. Hayman, "values of meromorphic functions and their derivatives", Annals of Mathematics, 70, pp.9~42 (1959)
  6. L. P. Liu, "Uniqueness of meromorphic functions and differential polynomials", Computers and Mathematics with Applications, 56, pp.3236~3245 (2008)
  7. Xiao-Guang Qi, "Some Further Results on Entire Functions That Share Fixed-Points", Kyungpook Mathematical Journal, 49(4), pp.771~777 (2009), 경북대학교 자연과학대학 수학과
  8. Jianping Wang, "Uniqueness of Linear Differential Polynomials that Share the Value 1 CM", Kyungpook Mathematical Journal, 42(2), pp.443~455 (2002), 경북대학교 자연과학대학 수학과
  9. S. M. Wang, "Meromorphic Functions Sharing a Small Function", Abstract and Applied Analysis, 2007, pp.6~ (2007)[DOI]
  10. C. C. Yang, "Uniqueness Theory of Meromorphic Functions" (2003), Kluwer Academic Publishers
  11. C. C. Yang, "Uniqueness and value-sharing of meromorphic functions", Annales Academioe Scientiarum Fennicoe Mathematica, 22, pp.395~406 (1997)
  12. J. L. Zhang, "Some results related to a conjecture of R. Br¨uck", Journal of Inequalities in Pure and Applied Mathematics, 8(1) (2007)
  13. X. Y. Zhang, "Uniqueness and value-sharing of entire functions", Journal of Mathematical Analysis and Applications, 343, pp.938~950 (2008)
  14. "J. Math. Anal. Appl.", 2009, 971~
  15. X. B. Zhang, "Uniqueness of meromorphic functions sharing a small function and its applications", Computers and Mathematics with Applications, 61, pp.722~730 (2011)

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