On dependence of meromorphic functions sharing some finite sets IM

In connection with Nevanlinna's five-value theorem ([2]), the author showed in [3] that two meromorphic functions sharing five one-point or two-point sets IM are Mobius transforms of each other. Now, we consider n + 1 meromorphic functions sharing some finite sets IM. Key words: Uniqueness theo...

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Bibliographic Details
Published inProceedings of the Japan Academy. Series A. Mathematical sciences Vol. 91; no. 10; pp. 147 - 150
Main Author Shirosaki, Manabu
Format Journal Article
LanguageEnglish
Published Ueno Park The Japan Academy 01.12.2015
Subjects
30D35
Analysis
Finite element analysis
Finite sets
Functions (Mathematics)
Mathematical analysis
Mathematical models
Meromorphic functions
Nevanlinna theory
Series (mathematics)
sharing sets
Theorems
Transforms
Uniqueness theorem
United States
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Summary:In connection with Nevanlinna's five-value theorem ([2]), the author showed in [3] that two meromorphic functions sharing five one-point or two-point sets IM are Mobius transforms of each other. Now, we consider n + 1 meromorphic functions sharing some finite sets IM. Key words: Uniqueness theorem; sharing sets; Nevanlinna theory.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
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ISSN:0386-2194
DOI:10.3792/pjaa.91.147