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Meromorphic Functions Sharing a Small Function with Their Derivatives

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In this paper, we investigate uniqueness problems of meromorphic functions that share a small function with one of their derivatives, and give some results to improve some previous results.

Abstract

In this paper, we investigate uniqueness problems of meromorphic functions that share a small function with one of their derivatives, and give some results to improve some previous results.

참고문헌 (12)

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  2. R. Bruck, "On entire functions which share one value CM with their rst derivative", Result in Math, 30, pp.21~24 (1996)
  3. G. G. Gundersen, "Meromorphic functions that share nite values with their derivative", J. Math. Anal. Appl., 75, pp.441~446 (1980)
  4. G. G. Gundersen, "Entire functions that share one value with one or two of their derivatives", J. Math. Anal. Appl, 223, pp.88~95 (1998)
  5. W. K. Hayman, "Meromorphic Functions" (1964), Clarendon Press
  6. E. Mues, "Meromorphe Funktionen, die mit ihrer ersten und zweiten Ableitung einen endlichen Wert teilen", Complex Var. Theory Appl, 6, pp.51~71 (1986)
  7. L. A. Rubel, "Values shared by an entire function and its derivative, Lecture Notes in Mathematics", pp.101~103 (1977), Springer-Verlag
  8. C. C. Yang, "Uniqueness theory of meromorphic functions" (2003), Kluwer Academic Publishers
  9. L. Z. Yang, "Entire functions that share nite values with their derivatives", Bull. Austral. Math. Soc, 41, pp.337~342 (1990)
  10. L. Z. Yang, "Non-existence of meromorphic solutions of Fermat type functional equation", Aequations Math, ~
  11. H. X. Yi, "Uniqueness theorems for meromorphic functions whose n-th derivatives share the same 1-points", Complex Var. Theory Appl, 34, pp.421~436 (1997)
  12. J. L. Zhang, "Some results related to a conjecture of R. Bruck, J. Inequal", Pure Appl. Math, 8(1), pp.18~ (2007)

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