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Literature cited
G. M. Goluzin, “Method of variations in conformal mapping. I,” Mat. Sb.,19(61), No. 2, 203–236 (1946).
G. M. Goluzin, Geometric Theory of Functions of a Complex Variable [in Russian], Nauka, Moscow (1966).
P. P. Kufarev, “On a property of extremal domains for a coefficient problem,” Dokl. Akad. Nauk SSSR,97, No. 3, 391–393 (1954).
P. P. Kufarev, “On Goluzin's variational formula,” Tr. Tomsk. Univ.,163, 58–62 (1963).
P. P. Kufarev and N. V. Semukhina, “On the extension of Goluzin's variational method to doubly connected domains,” Dokl. Akad. Nauk SSSR,107, No. 4, 505–507 (1956).
N. V. Genina (Semukhina), “On the extension of Goluzin's variational method to doubly connected domains,” Uch. Zap. Tomsk. Univ.,44, 226–240 (1962).
C. Pommerenke, “On a variational method for univalent functions,” Mich. Math. J.,17, No. 1, 1–3 (1970).
N. A. Lebedev and Din Van Feu, “On Goluzin's variational formula,” Zap. Nauchn. Sem. LOMI,24, 173–181 (1972).
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Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta, im. V. A. Steklova AN SSSR, Vol. 44, pp. 131–178, 1974.
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Van Feu, D. Extension of Goluzin's variational formula to an annulus. J Math Sci 8, 738–780 (1977). https://doi.org/10.1007/BF01084045
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DOI: https://doi.org/10.1007/BF01084045