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A lemma of Goluzin

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Literature cited

  1. G. M. Goluzin, “Some questions in the theory of univalent functions,” Tr. Mat. Inst. im. V. A. Steklova Akad. Nauk SSSR,27, 1–109 (1949).

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  2. G. M. Goluzin, Geometric Theory of Functions of a Complex Variable [in Russian], Nauka, Moscow (1966).

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  3. H. Prawitz, “Über Mittelwerte analytischer Funktionen,” Arkiv Mat., Astronomy, Physik,20A, No. 6, 1–12 (1927–1928).

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  4. S. A. Gel'fer, “On a class of regular functions not taking any pair of values w and w,” Mat. Sb.,19(61), No. 1, 33–46 (1946).

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  5. T. H. MacGregor, “Rotations of the range of an analytic function,” Math. Ann.,201, No. 2, 113–126 (1973).

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Authors
  1. V. A. Baranova
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  2. N. A. Lebedev
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Additional information

Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 44, pp. 7–16, 1974.

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Baranova, V.A., Lebedev, N.A. A lemma of Goluzin. J Math Sci 8, 631–641 (1977). https://doi.org/10.1007/BF01084038

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  • DOI: https://doi.org/10.1007/BF01084038

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