References
Kelley, J. L. andNamioka, I.,Linear Topological Spaces (1963).
Pólya, G. andSchoenberg, I. J.,Remarks on de la Vallée Poussin means and convex conformal maps of the circle, Pacific J. Math.8 (1958), 295–334.
Pommerenke, Ch.,On starlike and convex functions, J. London Math. Soc.37 (1962), 209–224.
—,On close-to-convex analytic functions, Trans. Amer. Math. Soc.114 (1965), 176–186.
Robertson, M. S.,Analytic functions starlike in one direction, Amer. J. Math.58 (1936), 465–472.
Ruscheweyh,Über die Faltung schlichter Funktionen, Math., Z.128 (1972), 85–92.
Ruscheweyh,On the radius of univalence of the partial sums of convex functions, Bull. London Math. Soc. (to appear).
Ruscheweyh, St. andWirths, K. J.,Über die Faltung schlichter Funktionen II, Math. Z. (to appear).
Ruscheweyh, St.,Über die Koeffizienten spezieller schlichter Polynome, Ann. Pol. Math. (to appear in Vol. 30).
Sheill-Small, T.,On convex univalent functions, J. London. Math. Soc. (2) (1969), 483–492.
Suffridge, T. J.,Convolutions of convex functions, J. Math. Mech.15 (1966), 795–804.
—,Some remarks on convex maps of the unit disc, Duke Math J.37 (1970) 775–777.
Wilf, H. S.,Subordinating factor sequences for convex maps of the unit circle, Proc. Amer. Math. Soc.12 (1961) 689–693.
Additional information
This work was done whilst the second author was on leave from the University of York, England, and was a guest of the University of Bonn, Germany, and was supported by the Sonderforschungsbereich 40 (Theoretische Mathematik), Bonn.
Rights and permissions
About this article
Cite this article
Ruscheweyh, S., Sheil-Small, T. Hadamard products of Schlicht functions and the Pólya-Schoenberg conjecture. Commentarii Mathematici Helvetici 48, 119–135 (1973). https://doi.org/10.1007/BF02566116
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1007/BF02566116