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On univalent functions convex in one direction. (English) Zbl 0408.30010

MSC:
30C25 Covering theorems in conformal mapping theory
30C45 Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.)
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[1] Walter Hengartner and Glenn Schober, On Schlicht mappings to domains convex in one direction, Comment. Math. Helv. 45 (1970), 303 – 314. · Zbl 0203.07604 · doi:10.1007/BF02567334 · doi.org
[2] W. Hengartner and G. Schober, A remark on level curves for domains convex in one direction, Applicable Anal. 3 (1973), 101 – 106. Collection of articles dedicated to Eberhard Hopf on the occasion of his 70th birthday. · Zbl 0257.30006 · doi:10.1080/00036817308839059 · doi.org
[3] M. S. Robertson, Analytic Functions Star-Like in One Direction, Amer. J. Math. 58 (1936), no. 3, 465 – 472. · Zbl 0014.12002 · doi:10.2307/2370963 · doi.org
[4] W. C. Royster and Michael Ziegler, Univalent functions convex in one direction, Publ. Math. Debrecen 23 (1976), no. 3-4, 339 – 345. · Zbl 0365.30005
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