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Non linear differential polynomials sharing fixed points with finite weights

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Języki publikacji
EN
Abstrakty
EN
We employ the notion of weighted sharing to investigate the uniqueness of meromorphic functions when two nonlinear differential polynomials share fixed points. The results of the paper improve and generalize the recent results due to Xu–Lu–Yi [10].
Wydawca
Rocznik
Strony
51--62
Opis fizyczny
Bibliogr. 16 poz.
Twórcy
autor
  • Department of Mathematics, University of Kalyani Nadia, West Bengal, India 741235
autor
  • Department of Mathematics, University of Kalyani Nadia, West Bengal, India 741235
Bibliografia
  • [1] A. Banerjee, Uniqueness of meromorphic functions sharing two sets with finite weight, Portugal. Math. (N.S.) 65(1) (2008), 81–93.
  • [2] M. L. Fang, A note on a problem of Hayman, Analysis (Munich) 20(1) (2000), 45–49.
  • [3] M. L. Fang, H. L. Qiu, Meromorphic functions that share fixed points, J. Math. Anal. Appl. 268 (2000), 426–439.
  • [4] W. K. Hayman, Picard values of meromorphic functions and their derivatives, Ann. of Math. 70 (1959), 9–42.
  • [5] W. K. Hayman, Meromorphic Functions, The Clarendon Press, Oxford (1964).
  • [6] I. Lahiri, Value distribution of certain differential polynomials, Internat. J. Math. Math. Sci. 28(2) (2001), 83–91.
  • [7] I. Lahiri, Weighted sharing and uniqueness of meromorphic functions, Nagoya Math. J. 161 (2001), 193–206.
  • [8] I. Lahiri, Weighted value sharing and uniqueness of meromorphic functions, Complex Var. Theory Appl. 46 (2001), 241–253.
  • [9] I. Lahiri, On a question of Hong Xun Yi, Arch. Math. (Brno) 38(2) (2002), 119–128.
  • [10] J. F. Xu, F. Lu, H. X. Yi, Fixed points and uniqueness of meromorphic functions, Comput. Math. Appl. 59 (2010), 9–17.
  • [11] C. C. Yang, X. H. Hua, Uniqueness and value sharing of meromorphic functions, Ann. Acad. Sci. Fenn. Math. 22(2) (1997), 395–406.
  • [12] C. C. Yang, H. X. Yi, Uniqueness theory of meromorphic functions, in: Mathematics and its Applications, Vol. 557, Kluwer Academic Publishers Group, Dordrecht, 2003.
  • [13] L. Yang, Value Distribution Theory, Springer-Verlag, Berlin, 1993.
  • [14] H. X. Yi, C. C. Yang, Uniqueness Theory of Meromorphic Functions, Science Press, Beijing, 1995.
  • [15] H. X. Yi, Meromorphic functions that share three sets, Kodai Math. J. 20 (1997), 22–32.
  • [16] J. L. Zhang, L. Z. Yang, Some results related to a conjecture of R. Bruck, J. Inequal. Pure Appl. Math. 8(1) (2007), Art. 18.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-6360c345-1280-4ddc-8bbe-5ef7ec67964a
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