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A generalization of the de Branges theorem
Author(s):
Xie
Ming-Qin
Journal:
Proc. Amer. Math. Soc.
125
(1997),
3605-3611.
MSC (1991):
Primary 30A32
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:
- 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:
10.1090/S0002-9939-97-04018-5
PII:
S 0002-9939(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
Copyright of article:
Copyright
1997,
American Mathematical Society
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