Kodai Mathematical Journal
Online ISSN : 1881-5472
Print ISSN : 0386-5991
ISSN-L : 0386-5991
Meromorphic functions that share some pairs of small functions
Ping LiChung-Chun Yang
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2009 年 32 巻 1 号 p. 130-145

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We discuss possible relations between two meromorphic functions f and g when they share some pairs of small functions. By utilizing the generalized Nevanlinna's second main theorem for small functions obtained recently, we have been able to show that two meromorphic functions f and g must be linked by a quasi-Möbius transformation if they share three pairs of small functions CM* and share another pair of small function IM*. Moreover, we also improves a known result due to T. Czubiak and G. Gundersen on two meromorphic functions sharing five pairs of values and the results on the unicity of meromorphic functions that share five small functions obtained by Li Bao-Qin and Li Yu-Hua as well.
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© 2009 Department of Mathematics, Tokyo Institute of Technology
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