New criteria for univalent functions. (English) Zbl 0303.30006


30C45 Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.)
30C50 Coefficient problems for univalent and multivalent functions of one complex variable
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[1] I. S. Jack, Functions starlike and convex of order \?, J. London Math. Soc. (2) 3 (1971), 469 – 474. · Zbl 0224.30026
[2] G. Pólya and I. J. Schoenberg, Remarks on de la Vallée Poussin means and convex conformal maps of the circle, Pacific J. Math. 8 (1958), 295 – 334. · Zbl 0084.27901
[3] St. Ruscheweyh and T. Sheil-Small, Hadamard products of Schlicht functions and the Pólya-Schoenberg conjecture, Comment. Math. Helv. 48 (1973), 119 – 135. · Zbl 0261.30015
[4] Erich Strohhäcker, Beiträge zur Theorie der schlichten Funktionen, Math. Z. 37 (1933), no. 1, 356 – 380 (German). · Zbl 0007.21402
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