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The Schwarzian derivative and univalent functions. (English) Zbl 0233.30011


MSC:

30C45 Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.)
30C20 Conformal mappings of special domains
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References:

[1] S. Friedland and Z. Nehari, Univalence conditions and Sturm-Liouville eigenvalues, Proc. Amer. Math. Soc. 24 (1970), 595 – 603. · Zbl 0191.08801
[2] Einar Hille, Remarks on a paper be Zeev Nehari, Bull. Amer. Math. Soc. 55 (1949), 552 – 553. · Zbl 0035.05105
[3] Zeev Nehari, Conformal mapping, McGraw-Hill Book Co., Inc., New York, Toronto, London, 1952. · Zbl 0048.31503
[4] Zeev Nehari, The Schwarzian derivative and schlicht functions, Bull. Amer. Math. Soc. 55 (1949), 545 – 551. · Zbl 0035.05104
[5] V. V. Pokornyĭ, On some sufficient conditions for univalence, Doklady Akad. Nauk SSSR (N.S.) 79 (1951), 743 – 746 (Russian).
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