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Original Articles

A generalization of Nehari's p-criterion for univalence

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Pages 225-233 | Received 08 Sep 2006, Published online: 19 Oct 2007

References

  • Nehari , Z . 1954 . Some criteria of univalence . Proceedings of the American Mathematical Society , 5 : 700 – 704 .
  • Nehari , Z . 1979 . Univalence criteria depending on the Schwarzian derivative . Illinois Journal of Mathematics , 23 : 345 – 351 .
  • Nehari , Z . 1949 . The Schwarzian derivative and schlicht functions . Bulletin of the American Mathematical Society , 55 : 545 – 551 .
  • Chuaqui , M , Duren , P and Osgood , B. Univalence criteria for lifts of harmonic mappings to minimal surfaces . Journal of Geometric Analysis , (To appear)
  • Osgood , B and Stowe , D . 1990 . A generalization of Nehari's univalence criterion . Commentarii Mathematici Helvetici , 65 : 234 – 242 .
  • Chuaqui , M and Osgood , B . 1998 . Finding complete conformal metrics to extend conformal mappings . Indiana University Mathematics Journal , 47 : 1273 – 1291 .

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