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Matematicheskie Zametki, 2007, Volume 81, Issue 2, Pages 240–250
DOI: https://doi.org/10.4213/mzm3551 (Mi mzm3551) 		 
On a Variational Method for Univalent Functions

V. V. Kozhevnikov

Kuban State University
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DOI: https://doi.org/10.4213/mzm3551
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.
Received: 27.02.2006
Revised: 22.06.2006
English version:
Mathematical Notes, 2007, Volume 81, Issue 2, Pages 213–221
DOI: https://doi.org/10.1134/S0001434607010245
Bibliographic databases:
UDC: 517.54
Language: Russian
Citation: V. V. Kozhevnikov, “On a Variational Method for Univalent Functions”, Mat. Zametki, 81:2 (2007), 240–250; Math. Notes, 81:2 (2007), 213–221
Citation in format AMSBIB
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