A. I. Aleksandrov, I. A. Aleksandrov, “Goluzin’s Variational Formula for Löwner’s Mappings of a Circle”, Vestn. Tomsk. Gos. Univ. Mat. Mekh., 2008, Number 1(2),Pages <nobr>5

MATHEMATICS

Goluzin’s Variational Formula for Löwner’s Mappings of a Circle

A. I. Aleksandrov^a, I. A. Aleksandrov^b

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

Abstract: A deduction of the principal variational Goluzin’s formula in the framework of the inner variations method for one-to-one mappings of a circle is suggested. The deduction is based on a variation of controlling function in the Löwner’s equation.

Keywords: Löwner’s equation, Goluzin’s variational formula.

UDC: 517.54

Accepted: April 8, 2008