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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

Information

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