Abstract
By simultaneously considering two moduli problems for pairs of homotopic classes of curves a complete solution is obtained of the problem of the range of functions of the class SR, where SR is the class of functions in S with real coefficients, at a fixed point ζ0 of the disk ¦ζ¦<1, and min¦f(ζ0¦ in the class SRis also found. Partial results in this problem were obtained earlier by J. Jenkins and V. V. Chernikov.
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Literature cited
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Additional information
Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 139, pp. 156–167, 1984.
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Fedorov, S.I. The moduli of certain families of curves and the range of f(ζ0) in the class of univalent functions with real coefficients. J Math Sci 36, 282–291 (1987). https://doi.org/10.1007/BF01091809
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DOI: https://doi.org/10.1007/BF01091809