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Transfinite extension to \(Q_m\)-normality theory

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Publication:1428278
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DOI10.1007/BF03322920zbMath1045.30023MaRDI QIDQ1428278

Shahar Nevo

Publication date: 25 March 2004

Published in: Results in Mathematics (Search for Journal in Brave)


zbMATH Keywords

normalquasinormalmeromorphicordinal number


Mathematics Subject Classification ID

Normal functions of one complex variable, normal families (30D45) Entire functions of one complex variable (general theory) (30D20) Meromorphic functions of one complex variable (general theory) (30D30) Ordinal and cardinal numbers (03E10)


Related Items (5)

DIFFERENTIAL INEQUALITIES AND A MARTY-TYPE CRITERION FOR QUASI-NORMALITY ⋮ \(Q_{\alpha }\)-normal families and entire functions ⋮ Quasi-normality induced by differential inequalities ⋮ Blow-up solutions of Liouville's equation and quasi-normality ⋮ A non explicit counterexample to a problem of quasi-normality




Cites Work

  • A new proof of the Ahlfors five islands theorem
  • APPLICATONS OF ZALCMAN'S LEMMA TO Qm-NORMAL FAMILIES
  • A Heuristic Principle in Complex Function Theory
  • Normal families: New perspectives
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