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A generalization of a theorem of livingston

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Literature cited

  1. A. E. Livingston, “On the radius of univalence of certain analytic functions,” Proc. Amer. Math. Soc.,17, No. 2, 352–357 (1966).

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  2. V. A. Zmorovich, “On the boundaries of convexity of starlike functions of order α in the disk ¦z¦ < 1 and the circular region 0 < ¦z¦ < 1,” Matem. Sbor.,68(110), No. 4 (1965).

  3. V. A. Zmorovich, “On some theorems from the theory of extremal estimates in special classes of analytic functions,” Dokl. Akad. Nauk URSR, No. 8 (1965).

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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 24, No. 2, pp. 268–273, March–April, 1972.

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Nikolaeva, R.V., Repnina, L.G. A generalization of a theorem of livingston. Ukr Math J 24, 224–227 (1972). https://doi.org/10.1007/BF01086818

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  • DOI: https://doi.org/10.1007/BF01086818

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