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Early coefficients of the inverse of a regular convex function. (English) Zbl 0464.30019

##### 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.)
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##### References:
 [1] Peter L. Duren, Coefficients of univalent functions, Bull. Amer. Math. Soc. 83 (1977), no. 5, 891 – 911. · Zbl 0372.30012 [2] Ulf Grenander and Gabor Szegö, Toeplitz forms and their applications, California Monographs in Mathematical Sciences, University of California Press, Berkeley-Los Angeles, 1958. · Zbl 0080.09501 [3] W. E. Kirwan and G. Schober, Inverse coefficients for functions of bounded boundary rotation, J. Analyse Math. 36 (1979), 167 – 178 (1980). · Zbl 0441.30019 [4] Jan G. Krzyż, Richard J. Libera, and Eligiusz Złotkiewicz, Coefficients of inverses of regular starlike functions, Ann. Univ. Mariae Curie-Skłodowska Sect. A 33 (1979), 103 – 110 (1981) (English, with Russian and Polish summaries). · Zbl 0472.30017 [5] Albert E. Livingston, The coefficients of multivalent close-to-convex functions, Proc. Amer. Math. Soc. 21 (1969), 545 – 552. · Zbl 0186.39901 [6] Christian Pommerenke, Univalent functions, Vandenhoeck & Ruprecht, Göttingen, 1975. With a chapter on quadratic differentials by Gerd Jensen; Studia Mathematica/Mathematische Lehrbücher, Band XXV. · Zbl 0298.30014 [7] D. V. Prokhorov and J. Szynal, Inverse coefficients for $$(\alpha ,\beta )$$-convex functions (preprint). · Zbl 0557.30014 [8] Glenn Schober, Coefficient estimates for inverses of schlicht functions, Aspects of contemporary complex analysis (Proc. NATO Adv. Study Inst., Univ. Durham, Durham, 1979) Academic Press, London-New York, 1980, pp. 503 – 513. [9] Steve Smale, The fundamental theorem of algebra and complexity theory, Bull. Amer. Math. Soc. (N.S.) 4 (1981), no. 1, 1 – 36. · Zbl 0456.12012
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