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Literature cited
J. A. Jenkins, “On certain geometrical problems associated with capacity,” Math. Nachr.,39, No. 4–6, 349–356 (1969).
J. A. Jenkins, “On Bieberbach—Eilenberg functions. II,” Trans. Amer. Math. Soc.,78, 510–515 (1955).
J. A. Jenkins, “Some problems in conformal mapping,” Trans. Amer. Math. Soc.,67, No. 2, 327–350 (1949).
J. A. Jenkins, “Symmetrization results from some conformal invariants,” Amer. J. Math.,75, 510–522 (1953).
J. A. Jenkins, “Some uniqueness results in the theory of Symmetrization. I,” Ann. of Math.,61, No. 1, 106–115 (1955).
J. A. Jenkins, “Remarks on ‘Some problems on conformal mapping,’” Proc. Amer. Math. Soc.,3, 147–151 (1952).
M. Schiffer, “A method of variation within the family of simple functions,” Proc. London Math. Soc.,44, 432–449 (1938).
G. V. Kuz'mina, “Extremal properties of hyperbolic transfinite diameter and univalent functions in an annulus,” Tr. Matem. Inst. AN SSSR,94 (1968).
E. Reich and M. Schiffer, “Estimates for the transfinite diameter of a continuum,” Math. Z.,85, 91–106 (1964).
G. Hardy, D. Littlewood, and G. Polya, Inequalities, Cambridge Univ. Press (1952).
G. M. Goluzin, Geometric Theory of Functions of a Complex Variable [in Russian], Nauka, Moscow (1966).
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 26, No. 4, pp. 517–522, July–August, 1974.
In conclusion we wish to express our deep gratitute to P. M. Tamrazov for his interest and many helpful suggestions.
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Bakhtin, A.K. On some extremal problems in conformal mapping. Ukr Math J 26, 424–428 (1974). https://doi.org/10.1007/BF01085616
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DOI: https://doi.org/10.1007/BF01085616