Previous |  Up |  Next

Article

Keywords:
entire function; weighted sharing; differential polynomial; uniqueness
Summary:
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.
References:
[1] Fang, M.-L.: Uniqueness and value-sharing of entire functions. Comput. Math. Appl. 44 (2002), 823-831. DOI 10.1016/S0898-1221(02)00194-3 | MR 1925824 | Zbl 1035.30017
[2] Fujimoto, H.: Uniqueness problem with truncated multiplicities in value distribution theory. Nagoya Math. J. 152 (1998), 131-152. MR 1659377 | Zbl 0937.32010
[3] Hayman, W. K.: Meromorphic Functions. Clarendon Press Oxford (1964). MR 0164038 | Zbl 0115.06203
[4] Lahiri, I.: Weighted value sharing and uniqueness of meromorphic functions. Complex Variables, Theory Appl. 46 (2001), 241-253. DOI 10.1080/17476930108815411 | MR 1869738 | Zbl 1025.30027
[5] Lahiri, I.: Weighted sharing and uniqueness of meromorphic functions. Nagoya Math. J. 161 (2001), 193-206. MR 1820218 | Zbl 0981.30023
[6] Yang, C.-C.: On deficiencies of differential polynomials. Math. Z. 152 (1972), 107-112. DOI 10.1007/BF01110921 | MR 0294642 | Zbl 0217.38402
[7] Yang, L.: Value Distribution Theory. Springer-Science Press Berlin-Beijing (1993). MR 1301781 | Zbl 0790.30018
[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 10.1016/j.camwa.2007.11.029 | MR 2401445
[10] Zhang, X.-Y., Lin, W.-C.: Uniqueness and value-sharing of entire functions. J. Math. Anal. Appl. 343 (2008), 938-950. DOI 10.1016/j.jmaa.2008.02.011 | MR 2417114 | Zbl 1152.30034
Partner of
EuDML logo