On meromorphic functions sharing five one-point or two-point sets IM

We show that if two meromorphic functions sharing five one-point or two-point sets two points IM, then one of them is a Möbius transformation of the other.

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Bibliographic Details
Published inProceedings of the Japan Academy. Series A. Mathematical sciences Vol. 86; no. 1; pp. 6 - 9
Main Author Shirosaki, Manabu
Format Journal Article
LanguageEnglish
Published The Japan Academy 01.01.2010
Subjects
30D35
Nevanlinna theory
sharing sets
Uniqueness theorem
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Summary:We show that if two meromorphic functions sharing five one-point or two-point sets two points IM, then one of them is a Möbius transformation of the other.
ISSN:0386-2194
DOI:10.3792/pjaa.86.6