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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.
Received: 27.02.2006 Revised: 22.06.2006
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
Linking options:
https://www.mathnet.ru/eng/mzm3551https://doi.org/10.4213/mzm3551 https://www.mathnet.ru/eng/mzm/v81/i2/p240
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Abstract page: | 401 | Full-text PDF : | 199 | References: | 54 | First page: | 4 |
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