Weighted sharing and uniqueness of entire functions
Czechoslovak Mathematical Journal, Tome 60 (2010) no. 1, pp. 45-57

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In this paper we study the uniqueness for meromorphic functions sharing one value, and obtain some results which improve and generalize the related results due to M. L. Fang, X. Y. Zhang, W. C. Lin, T. D. Zhang, W. R. Lü and others.
In this paper we study the uniqueness for meromorphic functions sharing one value, and obtain some results which improve and generalize the related results due to M. L. Fang, X. Y. Zhang, W. C. Lin, T. D. Zhang, W. R. Lü and others.
Classification : 30D30, 30D35
Keywords: entire function; weighted sharing; differential polynomial; uniqueness
Wu, Fengqin; Xu, Yan. Weighted sharing and uniqueness of entire functions. Czechoslovak Mathematical Journal, Tome 60 (2010) no. 1, pp. 45-57. http://geodesic.mathdoc.fr/item/CMJ_2010_60_1_a2/
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     zbl = {1224.30161},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMJ_2010_60_1_a2/}
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[1] Fang, M.-L.: Uniqueness and value-sharing of entire functions. Comput. Math. Appl. 44 (2002), 823-831. | DOI | MR | Zbl

[2] Fujimoto, H.: Uniqueness problem with truncated multiplicities in value distribution theory. Nagoya Math. J. 152 (1998), 131-152. | DOI | MR | Zbl

[3] Hayman, W. K.: Meromorphic Functions. Clarendon Press Oxford (1964). | MR | Zbl

[4] Lahiri, I.: Weighted value sharing and uniqueness of meromorphic functions. Complex Variables, Theory Appl. 46 (2001), 241-253. | DOI | MR | Zbl

[5] Lahiri, I.: Weighted sharing and uniqueness of meromorphic functions. Nagoya Math. J. 161 (2001), 193-206. | DOI | MR | Zbl

[6] Yang, C.-C.: On deficiencies of differential polynomials. Math. Z. 152 (1972), 107-112. | DOI | MR | Zbl

[7] Yang, L.: Value Distribution Theory. Springer-Science Press Berlin-Beijing (1993). | MR | Zbl

[8] Yi, H.-X., Yang, C.-C.: Uniqueness Theory of Meromorphic Functions. Science Press Beijing (1995).

[9] Zhang, T. D., Lü, W. R.: Uniqueness theorems on meromorphic functions sharing one value. Comput. Math. Appl. 55 (2008), 2981-2992. | DOI | MR

[10] Zhang, X.-Y., Lin, W.-C.: Uniqueness and value-sharing of entire functions. J. Math. Anal. Appl. 343 (2008), 938-950. | DOI | MR | Zbl