Bieberbach conjecture

SearchAdvancedHelp

(0.001 seconds)

5 matching pages

1: 16.23 Mathematical Applications

… ►

§16.23(iii) Conformal Mapping

►The Bieberbach conjecture states that if ${\sum }_{n=0}^{\mathrm{\infty }}{a}_n{z}^n$ is a conformal map of the unit disk to any complex domain, then $|a_n|\le n|a_1|$. …

2: 18.38 Mathematical Applications

… ►also the case $\beta =0$ of (18.14.26), was used in de Branges’ proof of the long-standing Bieberbach conjecture concerning univalent functions on the unit disk in the complex plane. …

3: Richard A. Askey

… ►This inequality was a key element of Louis de Branges’ proof of the Bieberbach conjecture in 1985. …

4: Bibliography D

… ►

A proof of the Bieberbach conjecture. Acta Math. 154 (1-2), pp. 137–152.

ⓘ

External Links:

ISSN 0001-5962, Document, MathReview (P. L. Duren), ZentralBlatt

Referenced by:

§16.23(iii), §18.38(ii).

Encodings:

BibTeX

…

5: Bibliography K

… ►

Special functions and the Bieberbach conjecture. Amer. Math. Monthly 95 (8), pp. 689–696.

ⓘ

External Links:

ISSN 0002-9890, FullText, MathReview (S. L. Shukla), ZentralBlatt

Referenced by:

§16.23(iii).

Encodings:

BibTeX

…