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Kövari, T.; Pommerenke, C.

On Faber polynomials and Faber expansions. (English) Zbl 0197.05505

Math. Z. 99, 193-206 (1967).
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Cited in 55 Documents

Keywords:

complex functions
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References:

[1] Al’per, S.Ya.: On the uniform approximation to functions of a complex varible on closed domains [Russian]. Izv. Akad. Nauk SSSR, Ser. Mat.19, 423-444 (1955).
[2] Clunie, J.: On meromorphic schlicht functions. J. London Math. Soc.34, 215-216 (1959). · Zbl 0087.07704 · doi:10.1112/jlms/s1-34.2.215
[3] Clunie, J., andCh. Pommerenke: On the coefficients of univalent functions. Mich. Math. J. (1967, to appear). · Zbl 0177.33701
[4] Danzer, L., u.Ch. Pommerenke: Über die Diskriminante von Mengen gegebenen Durchmessers. Monatsh. Math.71, 100-113 (1967). · Zbl 0158.31305 · doi:10.1007/BF01298463
[5] Golusin, G.M.: Some coefficient estimates for univalent functions. Mat. Sb.3, 321-330 (1938) [Russian, German Summary].
[6] ?: Geometrische Funktionentheorie. Berlin: Deutscher Verlag der Wissenschaften 1957. · Zbl 0132.00101
[7] Grötzsch, H.: Zur Theorie der Verschiebung bei schlichter konformer Abbildung. Comm. Math. Helv.8, 382-390 (1935/36). · Zbl 0014.26705 · doi:10.1007/BF01199564
[8] Paatero, V.: Über die konforme Abbildung von Gebieten, deren Ränder von beschränkter Drehung sind. Ann. Acad. Sci. Fenn. Ser. A.,33, No. 9, 1-77 (1931). · Zbl 0005.25104
[9] Pommerenke, Ch.: Über die Faberschen Polynome schlichter Funktionen. Math. Z.85, 197-208 (1964). · Zbl 0138.29901 · doi:10.1007/BF01112141
[10] ?: Konforme Abbildung und Fekete-Punkte. Math. Z.89, 422-438 (1965). · Zbl 0138.30001 · doi:10.1007/BF01112271
[11] Pommerenke, Ch.: On the coefficients of univalent functions. J. London Math. Soc.42, (1967, to appear). · Zbl 0177.33602
[12] Privalov, I.I.: Randeigenschaften analytischer Funktionen. Berlin: Deutscher Verlag der Wissenschaften 1956. · Zbl 0073.06501
[13] Smirnov, V.J., andN.A. Lebedev: Constructive theory of functions of a complex variable. Moscow: Izd. Nauka 1964.
[14] Zygmund, A.: Trigonometric series, 2-nd ed. Cambridge: Univ. Press 1959. · Zbl 0085.05601
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