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Uniqueness problem of meromorphic functions sharing small functions
Authors:
Zhihua Chen and Qiming Yan
Journal:
Proc. Amer. Math. Soc. 134 (2006), 2895-2904
MSC (2000):
Primary 32H30
Posted:
April 11, 2006
MathSciNet review:
2231613
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Abstract: In this paper, a uniqueness theorem of meromorphic functions which share four small functions is given.
References
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Nevanlinna R., Einige Eidentigkeitssätze in der Theorie der meromorphen Funktionen, Acta. Math. 48(1926), 367-391.
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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)
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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)
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Yamanoi K., The second main theorem for small functions and related problems, Acta Math. 192(2004), 225-294. MR 2096455
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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)
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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)
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Fujimoto H., Uniqueness problem with truncated multiplicities in value distribution theory, Nagoya Math. J. 152(1998), 131-152. MR 1659377 (99m:32029)
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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:
http://dx.doi.org/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
Article copyright:
© Copyright 2006 American Mathematical Society
The copyright for this article reverts to public domain after
28 years from publication.
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