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A coefficient problem of Bombieri concerning univalent functions

Author: Daoud Bshouty
Journal: Proc. Amer. Math. Soc. 91 (1984), 383-388
MSC: Primary 30C50
MathSciNet review: 744635
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Abstract: We answer affirmatively a question raised by Bombieri concerning the behaviour of the coefficients of normalized univalent functions near the Koebe function.

References [Enhancements On Off] (What's this?)

  • [1] E. Bombieri, Sull'integrazione approssimata dell' equazione differentiale di Löwner e le sue applicazioni alla teoria delle funzioni univalenti, Thesis, Milano, 1963.
  • [2] W. K. Hayman, Research problems in function theory, Athlone Press, Belfast, 1967. MR 0217268 (36:359)
  • [3] J. A. Hummel, The coefficients of starlike functions, Proc. Amer. Math. Soc. 22 (1969), 311-315. MR 0251209 (40:4440)
  • [4] I. M. Milin, Univalent functions and orthonormal systems, Transl. Math. Mono., Vol. 49, Amer. Math. Soc., Providence, R.I., 1977. MR 0427620 (55:651)
  • [5] Chr. Pommerenke, Univalent functions, Vandenhoeck & Ruprecht, Göttingen, 1975. MR 0507768 (58:22526)

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