RUS  ENG
Full version
JOURNALS // Matematicheskie Zametki // Archive
Mat. Zametki, 2007 Volume 81, Issue 2, Pages 240–250 (Mi mzm3551)
On a Variational Method for Univalent Functions

V. V. Kozhevnikov

Kuban State University

Abstract: In the paper, the construction of a variational method for univalent functions is suggested; this construction uses the factorization theorem. As a consequence, an analog of the Goluzin variational formula is obtained.

Keywords: variational method, univalent function, factorization theorem, conformal mapping, Goluzin variational method, Laurent series.

UDC: 517.54

Received: 27.02.2006
Revised: 22.06.2006

DOI: 10.4213/mzm3551


 English version: Mathematical Notes, 2007, 81:2, 213–221

Bibliographic databases:

© Steklov Math. Inst. of RAS, 2024