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Weighted sharing and uniqueness of meromorphic functions

Published online by Cambridge University Press:  22 January 2016

Indrajit Lahiri
Indrajit Lahiri*
Affiliation:
Department of Mathematics, University of Kalyani, West Bengal, 741235, India, indrajit@cal2.vsnl.net.in
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Abstract

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Introducing the idea of weighted sharing of values we prove some uniqueness theorems for meromorphic functions which improve some existing results.

Keywords

30D35
Type
Research Article
Information
Nagoya Mathematical Journal , Volume 161 , March 2001 , pp. 193 - 206
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 2001

References

[1] Gross, F. and Osgood, C. F., Entire functions with common preimages, Factorization Theory of Meromorphic Functions, Marcel Dekker Inc., 1982, pp. 19–24.Google Scholar
[2] Hayman, W. K., Meromorphic Functions, The Clarendon Press, Oxford, 1964.Google Scholar
[3] Li, Ping and Yang, C. C., Some further results on the unique range sets of meromorphic functions, Kodai Math. J., 18 (1995), 437–450.CrossRefGoogle Scholar
[4] Ozawa, M., Unicity theorems for entire functions, J. d’Anal. Math., 30 (1976), 411–420.Google Scholar
[5] Tohge, K., Meromorphic functions covering certain finite sets at the same points, Kodai Math. J., 11 (1988), 249–279.CrossRefGoogle Scholar
[6] Ueda, H., On the zero-one-pole set of a meromorphic function II, Kodai Math. J., 13 (1990), 134–142.CrossRefGoogle Scholar
[7] Yi, H. X., Meromorphic functions that share three values, Chin. Ann. Math., 9A (1988), 434–440.Google Scholar
[8] Yi, H. X., On the uniqueness of meromorphic functions, Acta Math. Sin., 31 (1988), 570–576.Google Scholar
[9] Yi, H. X., Meromorphic functions that share two or three values, Kodai Math. J., 13 (1990), 363–372.CrossRefGoogle Scholar