A. I. Aleksandrov, I. A. Aleksandrov, L. S. Kopaneva, G. A. Yuferova, “The Bieberbach conjecture and the Milin conjecture”, Vestn. Tomsk. Gos. Univ. Mat. Mekh., 2009, Number 4(8),Pages <nobr>7

MATHEMATICS

The Bieberbach conjecture and the Milin conjecture

A. I. Aleksandrov^a, I. A. Aleksandrov^b, L. S. Kopaneva^a, G. A. Yuferova^c

^a Tomsk State University, Faculty of Mechanics and Mathematics
^b Tomsk State University
^c Tomsk Polytechnic University

Abstract: Some complete solution of the classical Bieberbach conjecture is given (the problem of coefficient for univalent conformal maps). It is used the means accessible to students of high mathematical level.

Keywords: the parametric method, the coefficients problem, univalent conformal maps.

UDC: 517.54

Accepted: November 11, 2009