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A geometric characteristic of subclasses of univalent functions

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Literature cited

  1. 1.

    L. Špaček, “Contribution a la theorie des fonctions univalentes,” Čas. Pěstov. Mat.,62, 12–19 (1933).

  2. 2.

    J. Stankiewicz, “Quelques problemes extremaux dans les classes des fonctions o-angulairement etoillees,” Ann. UMCS A20, No. 6, 59–75 (1966).

  3. 3.

    M. I. S. Robertson, “On the theory of univalent functions,” Ann. Math.37, 374–408 (1936).

  4. 4.

    C. Pommerenke, Univalent Functions, Vandenhoeck and Ruprecht, Göttingen (1975).

  5. 5.

    P. J. Eenigenburg and F. R. Keogh, “The Hardy class of some univalent functions and their derivatives,” Michigan J. Math.,17, 335–346 (1970).

  6. 6.

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

  7. 7.

    O. A. Busovskaya and V. V. Goryainov, “Homeomorphic extension of spiral functions,” Ukr. Mat. Zh.,33, No. 5, 656–660 (1981).

  8. 8.

    F. R. Keogh, “Some theorems on conformal mapping of bounded star-shaped domains” Proc. London Math. Soc.,9, 481–491 (1959).

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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 37, No. 5, pp. 558–562, September–October, 1985.

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Busovskaya, O.A. A geometric characteristic of subclasses of univalent functions. Ukr Math J 37, 449–453 (1985). https://doi.org/10.1007/BF01061165

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Keywords

  • Geometric Characteristic
  • Univalent Function