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Löwnersche Differentialgleichung und Schlichtheitskriterien. (German) Zbl 0236.30024


MSC:

30C55 General theory of univalent and multivalent functions of one complex variable
30C62 Quasiconformal mappings in the complex plane
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References:

[1] Ahlfors, L. V.: Weill, G.: A uniqueness theorem for Beltrami equations. Proc. Amer. Math. Soc.13, 975-978 (1962). · Zbl 0106.28504 · doi:10.1090/S0002-9939-1962-0148896-1
[2] Becker, J.: Über Subordinationsketten und quasikonform fortsetzbare schlichte Funktionen. Dissertation, Techn. Univ. Berlin (1970)
[3] ?? Löwnersche Differentialgleichung und quasikonform fortsetzbare schlichte Funktionen. J. Reine Angew. Math.255, 23-43 (1972). · Zbl 0239.30015 · doi:10.1515/crll.1972.255.23
[4] Bielecki, A., Lewandowski, Z.: Sur certaines familles de fonctions ?-étoilées. Ann. Univ. Mariae Curie-Sk?odowska, Sect. A15, 45-55 (1961).
[5] Duren, P. L., Shapiro, H. S., Shields, A. L.: Singular measures and domains not of Smirnov type. Duke Math. J.33, 247-254 (1966). · Zbl 0174.37501 · doi:10.1215/S0012-7094-66-03328-X
[6] Golusin, G. M.: Geometrische Funktionentheorie. Berlin 1957.
[7] Hille, E.: Remarks on a paper by Zeev Nehari. Bull. Amer. Math. Soc.55, 552-553 (1949). · Zbl 0035.05105 · doi:10.1090/S0002-9904-1949-09243-1
[8] Kufarev, P. P.: Über einparametrige Familien analytischer Funktionen. Mat. sb.13, 87-118 (1943) (russisch).
[9] Löwner, K.: Untersuchungen über schlichte konforme Abbildungen des Einheitskreises. Math. Ann.89, 103-121 (1923). · JFM 49.0714.01 · doi:10.1007/BF01448091
[10] Nehari, Z.: The Schwarzian derivative and schlicht functions. Bull. Amer. Math. Soc.55, 545-551 (1949). · Zbl 0035.05104 · doi:10.1090/S0002-9904-1949-09241-8
[11] Pommerenke, Ch.: Über die Subordination analytischer Funktionen. J. Reine Angew. Math.218, 159-173 (1965). · Zbl 0184.30601 · doi:10.1515/crll.1965.218.159
[12] Pommerenke, Ch.: On the Löwner differential equation. Michigan Math. J.13, 435 to 443 (1966).
[13] Robertson, M. S.: Applications of the subordination principle to univalent functions. Pacific J. Math.11, 315-324 (1961). · Zbl 0109.04902
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