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Proceedings of the American Mathematical Society
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Uniqueness problem of meromorphic functions sharing small functions

Author(s): Zhihua Chen; Qiming Yan
Journal: Proc. Amer. Math. Soc. 134 (2006), 2895-2904.
MSC (2000): Primary 32H30
Posted: April 11, 2006
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Abstract | References | Similar articles | Additional information

Abstract: In this paper, a uniqueness theorem of meromorphic functions which share four small functions is given.


References:

1.
Nevanlinna R., Einige Eidentigkeitssätze in der Theorie der meromorphen Funktionen, Acta. Math. 48(1926), 367-391.

2.
Li Y. H. and Qiao J. Y., The uniqueness of meromorphic functions concerning small functions, Sci. China Ser. A, 43(2000), 581-590. MR 1775265 (2001f:30037)

3.
Yi H. X., On one problem of uniqueness of meromorphic functions concerning small functions, Proc. Amer. Math. Soc. 130(2002), 1689-1697. MR 1887016 (2002k:30058)

4.
Yamanoi K., The second main theorem for small functions and related problems, Acta Math. 192(2004), 225-294. MR 2096455

5.
Griffiths P., Entire holomorphic mappings in one and several complex variables, Annals of Mathematics Studies no. 85, Princeton University Press, Princeton, N.J. (1976). MR 0447638 (56:5948)

6.
Thai D. D. and Tan T. V., Meromorphic functions sharing small functions as targets, Internat. J. Math. 16(2005), no.4, 437-451. MR 2133265 (2005m:30031)

7.
Fujimoto H., Uniqueness problem with truncated multiplicities in value distribution theory, Nagoya Math. J. 152(1998), 131-152. MR 1659377 (99m:32029)

8.
Thai D. D. and Quang S. D., Uniqueness problem with truncated multiplicities of meromorphic mappings in several complex variables, Internat. J. Math. 16(2005), no.8, 903-939. MR 2168074


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Additional Information:

Zhihua Chen
Affiliation: Department of Mathematics, Tongji University, Shanghai 200092, People's Republic of China
Email: zzzhhc@tongji.edu.cn

Qiming Yan
Affiliation: Department of Mathematics, Tongji University, Shanghai 200092, People's Republic of China
Email: math@mail.tongji.edu.cn

DOI: 10.1090/S0002-9939-06-08475-9
PII: S 0002-9939(06)08475-9
Keywords: Value distribution theory, uniqueness theorem, small function
Received by editor(s): April 19, 2005
Posted: April 11, 2006
Additional Notes: The authors were supported by NSFC number 10571135.
Communicated by: Mei-Chi Shaw
Copyright of article: Copyright 2006, American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.


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