Weighted sharing and uniqueness of entire functions

Fengqin Wu; Yan Xu

Czechoslovak Mathematical Journal (2010)

  • Volume: 60, Issue: 1, page 45-57
  • ISSN: 0011-4642

Abstract

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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.

How to cite

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Wu, Fengqin, and Xu, Yan. "Weighted sharing and uniqueness of entire functions." Czechoslovak Mathematical Journal 60.1 (2010): 45-57. <http://eudml.org/doc/37987>.

@article{Wu2010,
abstract = {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.},
author = {Wu, Fengqin, Xu, Yan},
journal = {Czechoslovak Mathematical Journal},
keywords = {entire function; weighted sharing; differential polynomial; uniqueness; entire function; weighted sharing; differential polynomial; uniqueness},
language = {eng},
number = {1},
pages = {45-57},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Weighted sharing and uniqueness of entire functions},
url = {http://eudml.org/doc/37987},
volume = {60},
year = {2010},
}

TY - JOUR
AU - Wu, Fengqin
AU - Xu, Yan
TI - Weighted sharing and uniqueness of entire functions
JO - Czechoslovak Mathematical Journal
PY - 2010
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 60
IS - 1
SP - 45
EP - 57
AB - 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.
LA - eng
KW - entire function; weighted sharing; differential polynomial; uniqueness; entire function; weighted sharing; differential polynomial; uniqueness
UR - http://eudml.org/doc/37987
ER -

References

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  1. Fang, M.-L., 10.1016/S0898-1221(02)00194-3, Comput. Math. Appl. 44 (2002), 823-831. (2002) Zbl1035.30017MR1925824DOI10.1016/S0898-1221(02)00194-3
  2. Fujimoto, H., 10.1017/S0027763000006826, Nagoya Math. J. 152 (1998), 131-152. (1998) Zbl0937.32010MR1659377DOI10.1017/S0027763000006826
  3. Hayman, W. K., Meromorphic Functions, Clarendon Press Oxford (1964). (1964) Zbl0115.06203MR0164038
  4. Lahiri, I., 10.1080/17476930108815411, Complex Variables, Theory Appl. 46 (2001), 241-253. (2001) Zbl1025.30027MR1869738DOI10.1080/17476930108815411
  5. Lahiri, I., 10.1017/S0027763000027215, Nagoya Math. J. 161 (2001), 193-206. (2001) Zbl0981.30023MR1820218DOI10.1017/S0027763000027215
  6. Yang, C.-C., 10.1007/BF01110921, Math. Z. 152 (1972), 107-112. (1972) Zbl0217.38402MR0294642DOI10.1007/BF01110921
  7. Yang, L., Value Distribution Theory, Springer-Science Press Berlin-Beijing (1993). (1993) Zbl0790.30018MR1301781
  8. Yi, H.-X., Yang, C.-C., Uniqueness Theory of Meromorphic Functions, Science Press Beijing (1995). (1995) 
  9. Zhang, T. D., Lü, W. R., 10.1016/j.camwa.2007.11.029, Comput. Math. Appl. 55 (2008), 2981-2992. (2008) MR2401445DOI10.1016/j.camwa.2007.11.029
  10. Zhang, X.-Y., Lin, W.-C., 10.1016/j.jmaa.2008.02.011, J. Math. Anal. Appl. 343 (2008), 938-950. (2008) Zbl1152.30034MR2417114DOI10.1016/j.jmaa.2008.02.011

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