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Ozawa, Mitsuru; Kubota, Yoshihisa

Bieberbach conjecture for the eighth coefficient. (English) Zbl 0249.30014

Kōdai Math. Semin. Rep. 24, 331-382 (1972).
Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page
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30C50 Coefficient problems for univalent and multivalent functions of one complex variable
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[1] BIEBERBACH, L., Uber die Koeffizienten derjenigen Potenzrehen, welche eine schlichte Abbildung des Einheitskreises vermitteln.K. Preuss. Akad. Wiss. Berlin, Sitzungsberichte (1916), 940-955. · JFM 46.0552.01
[2] CHARZYNSKI, Z., AND M. SCHIFFER, A new proof of the Bieberbach conjecture fo thefourth coefficient. Arch. Rat. Mech. Anal. 5 (1960), 187-193. · Zbl 0099.05901 · doi:10.1007/BF00252902
[3] GARABEDIAN, P. R , AND M. SCHIFFER, A proof of the Bieberbach conjecture fo thefourth coefficient. Journ. Rat. Mech. Anal. 4 (1955), 427-465. · Zbl 0065.06902
[4] GOLUSIN, G. M., On>valent functions. Mat. Sbornik (N. S. ) 8 (1940), 277-284 · Zbl 0023.33504
[5] GRUNSKY, H., Koeffizentenbedingungen fur schlicht abbildende meromorph Funktionen. Math. Zeits. 4 (1939), 29-61. Zentralblatt MATH: · Zbl 0022.15103 · doi:10.1007/BF01580272
[6] JENKINS, J. A M Some area theorems and a special coefficienttheorem. Illinoi Journ. Math. 8 (1964), 80-99. · Zbl 0131.07601
[7] JENKINS, J. A., AND M. OZAWA, On local maximality for the coefficient a8. Illinoi Journ. Math. 11 (1967), 596-602. · Zbl 0174.12204
[8] LOWNER, K., Untersuchungen uber schlichte konforme Abbildungen des Einkeits kreises, I. Math. Ann. 89 (1923), 103-121. · JFM 49.0714.01
[9] OZAWA, M., On the Bieberbach conjecture for the sixth coefficient. Kdai Math Sem. Rep. 21 (1969), 97-128. · Zbl 0184.10502 · doi:10.2996/kmj/1138845834
[10] OZAWA, M., An elementary proof of local maximality for the coefficient a8. Kda Math. Sem. Rep. 21 (1969), 459-462. · Zbl 0208.10001 · doi:10.2996/kmj/1138845992
[11] OZAWA, M., AND Y. KUBOTA, On the eighth coefficient of univalent functions Journ. Analyse Math. 23 (1970), 323-352. · Zbl 0218.30013 · doi:10.1007/BF02795508
[12] OZAWA, M., AND Y. KUBOTA, On the eighth coefficient of univalent functions, II. Kdai Math. Sem. Rep. 23 (1971), 1-59 · Zbl 0218.30014 · doi:10.2996/kmj/1138846264
[13] PEDERSON, R. N., A proof of the Bieberbach conjecture for the sixth coefficient Arch. Rat. Mech. Anal. 31 (1968), 331-351. · Zbl 0184.10501 · doi:10.1007/BF00251415
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