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An estimate of the curvature of the images of circles under maps given by convex univalent functions in a disk

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References

  1. V.A. Zmorovich, “On some variational problems of the theory of univalent functions,” Ukr. Mat. Zh.,4, No. 3, 276–298 (1952).

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  2. I.A. Aleksandrov and V.V. Chernikov, “On extremal properties of univalent star-shaped maps,” Sib. Mat. Zh.,4, No. 6, 1201–1207 (1963).

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Authors and Affiliations

  1. V. V. Kuibyshev Tomsk State University, USSR

    S. M. Yugai

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  1. S. M. Yugai
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Translated from Matematicheskie Zametki, Vol. 53, No. 1, pp. 133–137, January, 1993.

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Yugai, S.M. An estimate of the curvature of the images of circles under maps given by convex univalent functions in a disk. Math Notes 53, 92–95 (1993). https://doi.org/10.1007/BF01208530

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  • DOI: https://doi.org/10.1007/BF01208530

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