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Meromorphic functions sharing two sets

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Abstract

In the paper we discuss the uniqueness problem for meromorphic functions that share two sets and prove five theorems which improve and supplement some results earlier given by Yi and Yang [13], Lahiri and Banerjee [5].

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References

  1. W. K. Hayman: Meromorphic Functions. Clarendon Press, Oxford, 1964.

    MATH  Google Scholar 

  2. I. Lahiri: Weighted value sharing and uniqueness of meromorphic functions. Complex Variables, Theory Appl. 46 (2001), 241–253.

    MATH  MathSciNet  Google Scholar 

  3. I. Lahiri: Weighted sharing and uniqueness of meromorphic functions. Nagoya Math. J. 161 (2001), 193–206.

    MATH  MathSciNet  Google Scholar 

  4. I. Lahiri: Value distribution of certain differential polynomials. Int. J. Math. Math. Sci. 28 (2001), 83–91.

    Article  MATH  MathSciNet  Google Scholar 

  5. I. Lahiri, A. Banerjee: Weighted sharing of two sets. Kyungpook Math. J. 46 (2006), 79–87.

    MATH  MathSciNet  Google Scholar 

  6. I. Lahiri, S. Dewan: Value distribution of the product of a meromorphic function and its derivative. Kodai Math. J. 26 (2003), 95–100.

    Article  MATH  MathSciNet  Google Scholar 

  7. G. D. Song, N. Li: On a problem of Gross concerning unicity of meromorphic functions. Chin. Ann. Math. 17A (1996), 189–194.

    MATH  MathSciNet  Google Scholar 

  8. C. C. Yang: On deficiencies of differential polynomials, II. Math. Z. 125 (1972), 107–112.

    Article  MATH  MathSciNet  Google Scholar 

  9. H. X. Yi: Unicity theorems for entire functions. Kodai Math. J. 17 (1994), 133–141.

    Article  MATH  MathSciNet  Google Scholar 

  10. H. X. Yi: Meromorphic functions that share one or two values. Complex Variables, Theory Appl. 28 (1995), 1–11.

    MATH  MathSciNet  Google Scholar 

  11. H. X. Yi: Uniqueness theorems for meromorphic functions II. Indian J. Pure Appl. Math. 28 (1997), 509–519.

    MATH  MathSciNet  Google Scholar 

  12. H. X. Yi: Meromorphic functions that share three sets. Kodai Math. J. 20 (1997), 22–32.

    Article  MATH  MathSciNet  Google Scholar 

  13. H. X. Yi, L. Z. Yang: Meromorphic functions that share two sets. Kodai Math. J. 20 (1997), 127–134.

    Article  MATH  MathSciNet  Google Scholar 

  14. H. X. Yi: Meromorphic functions that share one or two values II. Kodai Math. J. 22 (1999), 264–272.

    Article  MATH  MathSciNet  Google Scholar 

  15. H. X. Yi, W. C. Lin: Some further results on meromorphic functions that share two sets. Kyungpook Math. J. 43 (2003), 73–85.

    MATH  MathSciNet  Google Scholar 

  16. H. X. Yi, Thamir C. Alzahary: Weighted value sharing and a question of I. Lahir. Complex Variables, Theory Appl. 49 (2004), 1063–1078.

    MATH  MathSciNet  Google Scholar 

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Correspondence to Abhijit Banerjee.

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Banerjee, A. Meromorphic functions sharing two sets. Czech Math J 57, 1199–1214 (2007). https://doi.org/10.1007/s10587-007-0119-8

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  • DOI: https://doi.org/10.1007/s10587-007-0119-8

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