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Non-linear differential polynomials sharing small function with finite weight
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  • 作者:Abhijit Banerjee ; Sujoy Majumder
  • 关键词:30D35
  • 刊名:Arabian Journal of Mathematics
  • 出版年:2015
  • 出版时间:March 2015
  • 年:2015
  • 卷:4
  • 期:1
  • 页码:7-28
  • 全文大小:393 KB
  • 参考文献:1. Alzahary, T.C.; Yi, H.X.: Weighted value sharing and a question of I. Lahiri. Complex Var. Theory Appl. 49(15), 1063-078 (2004) CrossRef
    2. Banerjee, A.: Meromorphic functions sharing one value. Int. J. Math. Math. Sci. 22, 3587-598 (2005) CrossRef
    3. Banerjee, A.: On uniqueness for non-linear differential polynomials sharing the same 1-points. Ann. Polon. Math. 89(3), 259-72 (2006) CrossRef
    4. Banerjee, A.: A uniqueness result on some differential polynomials sharing 1 points. Hiroshima Math. J. 37(3), 397-08 (2007)
    5. Banerjee, A.; Sahoo, P.: Uniqueness of meromorphic functions when two differential polynomials share one value. Sarajevo.J. Math. 20, 69-9 (2012)
    6. Dyavanal, R.S.: Uniqueness and value sharing of differential polynomials of meromorphic functions. J. Math. Anal. Appl. 372(1), 252-61 (2010) CrossRef
    7. Dyavanal, R.S.: Erralum to uniqueness and value sharing of differential polynomials of meromorphic functions. J. Math. Anal. Appl. 374(1), 334 (2011) CrossRef
    8. Dyavanal, R.S.: Uniqueness and value sharing of differential polynomials of meromorphic functions. J. Math. Anal. Appl. 374(1), 345-55 (2011)
    9. Fang, M.L.; Hong, W.: A unicity theorem for entire functions concerning differential polynomials. Indian J. Pure Appl. Math. 32(9), 1343-348 (2001)
    10. Frank, G.: Eine Vermutung von hayman uber nullstellen meromorpher function. Math. Z. 149, 29-6 (1976) CrossRef
    11. Hayman, W.K.: Meromorphic Functions. The Clarendon Press, Oxford (1964)
    12. Lahiri, I.: Uniqueness of meromorphic functions when two linear differential polynomials share the same 1-points. Ann. Polon. Math. 71(2), 113-28 (1999)
    13. Lahiri, I.: Weighted sharing and uniqueness of meromorphic functions. Nagoya Math. J. 161, 193-06 (2001)
    14. Lahiri, I.: Weighted value sharing and uniqueness of meromorphic functions. Complex Var. Theory Appl. 46, 241-53 (2001) CrossRef
    15. Lahiri, I.; Dewan, S.: Value distribution of the product of a meromorphic function and its derivative. Kodai Math. J. 26(1), 95-00 (2003) CrossRef
    16. Lahiri, I.; Mandal, N.: Uniqueness of nonlinear differential polynomials sharing simple and double 1-points. Int. J. Math. Math. Sci. 12, 1933-942 (2005) CrossRef
    17. Lahiri, I.; Pal, R.: Nonlinear differential polynomials sharing 1-points. Bull. Korean Math. Soc. 43(1), 161-68 (2006) CrossRef
    18. Lahiri, I.; Sarkar, A.: Nonlinear differential polynomials sharing 1-points with weight two. Chinese J. Contemp. Math. 25(3), 325-34 (2004)
    19. Lahiri, I.; Sahoo, P.: Uniqueness of non-linear differential polynomials sharing 1-points. Georgian Math. J. 12(1), 131-38 (2005)
    20. Li, P.; Yang, C.C.: On the characteristics of meromorphic functions that share three values CM. J. Math. Anal. Appl. 220, 132-45 (1998) CrossRef
    21. Lin, W.C.: Uniqueness of differential polynomials and a question of Lahiri. Pure Appl. Math.
  • 刊物主题:Mathematics, general;
  • 出版者:Springer Berlin Heidelberg
  • ISSN:2193-5351
文摘
The purpose of the paper is to study the uniqueness of meromorphic functions sharing a small function with weight. The results of the paper improve and extend some recent results due to Banerjee and Sahoo (Sarajevo J Math 20:69-9, 2012), which in turn radically improve, extend and supplement some results of Dyavanal (J Math Anal Appl 372(1):252-61, 2010; 374(1):334, 2011; 374(1):345-55, 2011).

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