Proof Of The Bieberbach’s Conjecture :A Survey

Year 1987, Volume: 36 , 0 - 0, 01.01.1987

Cengiz Uluçay

https://doi.org/10.1501/Commua1_0000000533

Abstract

In a recent paper (c. f., Uluçay (1985)), which has heen ahstracted in the Book of ABSTRACTS of the ICM 86, we have shown the rednn- dancy of the hypothesis that n-î is prime in the Lemma XXXI of Shaeffer and Spencer (1950). It should be also noted the evident fact that when P2(z) is reduced to 1 + Âz -p p,z2, the possibility of a double root has been tacitly overlooked by Shaeffer and Spencer (1950). Yet, in view of Lemma XXXI, the conciusive Thecrem II of Uluçay (1973) just corresponds to that exceptional case wbich reduces the extremal function c(z) to koebe function. Below is reproduced the ABSTRACT in question.

Keywords

Bieberbach’s Conjecture, Survey, Statistics

References

• Ankara Üniversitesi – Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics Dergisi