On functions satisfying $R\{f(z)/z\}<0$
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- by Kunio Yamaguchi PDF
- Proc. Amer. Math. Soc. 17 (1966), 588-591 Request permission
References
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C. Carathéodory, Theory of functions of a complex variable. II, Chelsea, New York, 1954.
- Einar Hille, Analytic function theory. Vol. II, Introductions to Higher Mathematics, Ginn and Company, Boston, Mass.-New York-Toronto, Ont., 1962. MR 0201608
- Thomas H. MacGregor, The radius of convexity for starlike functions of order ${1\over 2}$, Proc. Amer. Math. Soc. 14 (1963), 71–76. MR 150282, DOI 10.1090/S0002-9939-1963-0150282-6
- Zeev Nehari, Conformal mapping, McGraw-Hill Book Co., Inc., New York-Toronto-London, 1952. MR 0045823 K. Noshiro, On the univalency of certain analytic functions, J. Fac. Sci. Hokkaido Imp. Univ. 2 (1934), 89-101.
Additional Information
- © Copyright 1966 American Mathematical Society
- 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