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Uniqueness of meromorphic functions concerning weakly weighted-sharing. (English) Zbl 1126.30018

Wang, Yuefei (ed.) et al., Complex analysis and applications. Proceedings of the 13th international conference on finite or infinite dimensional complex analysis and applications, Shantou University, Shantou, China, August 8–12, 2005. Hackensack, NJ: World Scientific (ISBN 981-256-868-9/hbk). 159-168 (2006).
Summary: We introduce the definition of weakly weighted-sharing which is between CM and IM. Using the notion of weakly weighted-sharing, we study the uniqueness problems on meromorphic function and its \(k\)th order derivative \(f(k)\) satisfying certain sharing set properties. As consequences, we are able to answer questions posed by Kit-wing Yu, which were also studied by I. Lahiri and A. Sarkar, L. P. Liu and Y. X. Gu. Our results sharpen the above results.
For the entire collection see [Zbl 1097.32001].

MSC:

30D35 Value distribution of meromorphic functions of one complex variable, Nevanlinna theory
30D45 Normal functions of one complex variable, normal families
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