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On functions satisfying $ R\{f(z)/z\}<0$


Author: Kunio Yamaguchi
Journal: Proc. Amer. Math. Soc. 17 (1966), 588-591
MSC: Primary 30.42
DOI: https://doi.org/10.1090/S0002-9939-1966-0192041-7
MathSciNet review: 0192041
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References [Enhancements On Off] (What's this?)

  • [1] C. Carathéodory, Theory of functions of a complex variable. II, Chelsea, New York, 1954.
  • [2] E. Hille, Analytic function theory. II, Ginn, Boston, 1962. MR 0201608 (34:1490)
  • [3] T. MacGregor, The radius of convexity for starlike functions of order $ 1/2$, Proc. Amer. Math. Soc. 14 (1963), 71-76. MR 0150282 (27:283)
  • [4] Z. Nehari, Conformal mapping, McGraw-Hill, New York, 1952; p. 170. MR 0045823 (13:640h)
  • [5] K. Noshiro, On the univalency of certain analytic functions, J. Fac. Sci. Hokkaido Imp. Univ. 2 (1934), 89-101.

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DOI: https://doi.org/10.1090/S0002-9939-1966-0192041-7
Article copyright: © Copyright 1966 American Mathematical Society

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