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A generalization of the de Branges theorem


Author: Xie Ming-Qin
Journal: Proc. Amer. Math. Soc. 125 (1997), 3605-3611
MSC (1991): Primary 30A32
DOI: https://doi.org/10.1090/S0002-9939-97-04018-5
MathSciNet review: 1415355
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Abstract: In this paper a generalization of de Branges' proof of the Bieberbach conjecture is given. The argument does not make use of the Askey-Gasper theorem.


References [Enhancements On Off] (What's this?)

  • 1. de Branges, A proof of the Bieberbach conjecture, Preprint E-5-84, Leningrad Branch of the V.A. Steklov Mathematical Institute, 1984.
  • 2. -, A proof of the Bieberbach conjecture, Acta Math. 154 (1985), 137-152. MR 86h:30026
  • 3. R. Askey and G. Gasper, Positive Jacobi polynomial sums. II, Amer. J. Math. 98 (1976), 709-737. MR 55:3363

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Additional Information

Xie Ming-Qin
Affiliation: Department of Mathematics, Anhui Normal University, Wuhu 241000, Anhui, People’s Republic of China

DOI: https://doi.org/10.1090/S0002-9939-97-04018-5
Keywords: Univalent, Bieberbach conjecture, characteristic root
Received by editor(s): June 27, 1995
Received by editor(s) in revised form: July 9, 1996
Communicated by: Theodore W. Gamelin
Article copyright: © Copyright 1997 American Mathematical Society

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