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FURTHER RESULTS ON THE UNIQUENESS OF MEROMORPHIC FUNCTIONS SHARING THREE SETS

Year 2013, Volume: 1 Issue: 2, 191 - 206, 01.12.2013

Abstract

We use the notion of weighted sharing of sets to deal with theproblem of uniqueness of meromorphic functions sharing three sets and obtainsome results which in turn improve and extend a series of results obtained in[2] and [3]. One example is exhibited to show that one condition in one of ourresults is the best possible

References

  • A. Banerjee, On a question of Gross, J. Math. Anal. Appl., 327(2) (2007) 1273-1283.
  • A Banerjee, Some uniquenesss results on meromorphic functions sharing three sets,Ann. Polon. Math., 92(3)(2007), 261-274.
  • A.Banerjee, Uniqueness of meromorphic functions that share three sets, Kyungpook Math. J., 49(2009), 15-29.
  • M.Fang and W. Xu, A note on a problem of Gross, Chinese J. Contemporary Math., 18(4)(1997), 395-402.
  • F.Gross, Factorization of meromorphic functions and some open problems, Proc. Conf. Univ. Kentucky, Leixngton, Ky(1976); Lecture Notes in Math., 599(1977), 51-69, Springer(Berlin).
  • W.K.Hayman, Meromorphic Functions, The Clarendon Press, Oxford (1964).
  • W.C.Lin and H.X.Yi, Uniqueness theorems for meromorphic functions that share three sets, Complex Var. Theory Appl., 48 (4) (2003), 315-327.
  • H.Qiu and M. Fang, A unicity theorem for meromorphic functions, Bull. Malaysian Math. Sci. Soc., 25(2002) 31-38.
  • C.C.Yang, On deficiencies of differential polynomials II, Math. Z., 125(1972), 107-112.
  • Department of Mathematics, University of Kalyani, West Bengal 741235, India.
  • E-mail address: abanerjee kal@yahoo.co.in, abanerjee kal@rediffmail.com Department of Mathematics, Katwa College, Burdwan, 713150, India.
  • E-mail address: sujoy.katwa@gmail.com

Year 2013, Volume: 1 Issue: 2, 191 - 206, 01.12.2013

Abstract

References

  • A. Banerjee, On a question of Gross, J. Math. Anal. Appl., 327(2) (2007) 1273-1283.
  • A Banerjee, Some uniquenesss results on meromorphic functions sharing three sets,Ann. Polon. Math., 92(3)(2007), 261-274.
  • A.Banerjee, Uniqueness of meromorphic functions that share three sets, Kyungpook Math. J., 49(2009), 15-29.
  • M.Fang and W. Xu, A note on a problem of Gross, Chinese J. Contemporary Math., 18(4)(1997), 395-402.
  • F.Gross, Factorization of meromorphic functions and some open problems, Proc. Conf. Univ. Kentucky, Leixngton, Ky(1976); Lecture Notes in Math., 599(1977), 51-69, Springer(Berlin).
  • W.K.Hayman, Meromorphic Functions, The Clarendon Press, Oxford (1964).
  • W.C.Lin and H.X.Yi, Uniqueness theorems for meromorphic functions that share three sets, Complex Var. Theory Appl., 48 (4) (2003), 315-327.
  • H.Qiu and M. Fang, A unicity theorem for meromorphic functions, Bull. Malaysian Math. Sci. Soc., 25(2002) 31-38.
  • C.C.Yang, On deficiencies of differential polynomials II, Math. Z., 125(1972), 107-112.
  • Department of Mathematics, University of Kalyani, West Bengal 741235, India.
  • E-mail address: abanerjee kal@yahoo.co.in, abanerjee kal@rediffmail.com Department of Mathematics, Katwa College, Burdwan, 713150, India.
  • E-mail address: sujoy.katwa@gmail.com
There are 12 citations in total.

Details

Primary Language English
Authors

Abhijit Banerjee This is me

Sujoymajumder This is me

Submission Date March 9, 2015
Publication Date December 1, 2013
Published in Issue Year 2013 Volume: 1 Issue: 2

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