Gasper, George A short proof of an inequality used by de Branges in his proof of the Bieberbach, Robertson and Milin conjectures. (English) Zbl 0605.30018 Complex Variables, Theory Appl. 7, 45-50 (1986). The author gives a short proof of an inequality for special hypergeometric series which was the last step in de Branges proof of the Milin conjecture implying that the famous Bieberbach conjecture is true [see: L. de Branges, Acta Math. 154, 137-152 (1985; Zbl 0573.30014)]. Another proof of this inequality involving a lot of theorems on special functions was given before by R. Askey and G. Gasper [Am. J. Math. 98, 709-737 (1976; Zbl 0355.33005)]. Furthermore the author discusses some possible extensions of the Milin conjecture. Reviewer: K.-J.Wirths Cited in 3 Documents MSC: 30C50 Coefficient problems for univalent and multivalent functions of one complex variable 30C45 Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) Keywords:Bieberbach conjecture; Milin conjecture Citations:Zbl 0573.30014; Zbl 0355.33005 PDFBibTeX XMLCite \textit{G. Gasper}, Complex Variables, Theory Appl. 7, 45--50 (1986; Zbl 0605.30018) Full Text: DOI