×

Boundary behavior of a conformal mapping. (English) Zbl 0222.30006


MSC:

30C20 Conformal mappings of special domains
30C35 General theory of conformal mappings
PDFBibTeX XMLCite
Full Text: DOI

References:

[1] Ahlfors, L. V.,Lectures on quasiconformal mappings. Van Nostrand, Princeton, 1966. · Zbl 0138.06002
[2] Bagemihl, F. &Seidel, W., Keebe arcs and Fatou points of normal functions.Comment. Math. Helv., 36 (1961), 9–18. · Zbl 0125.31705 · doi:10.1007/BF02566888
[3] Behnke, H. &Sommer, F.,Theorie der analytischen Funktionen einer komplexen Veränderlichen. Springer, Berlin, 1962. · Zbl 0101.29502
[4] Hausdorff, F.,Set theory. Chelsea, New York, 1962. · Zbl 0060.12401
[5] Lavrentieff, M., Boundary problems in the theory of univalent functions.Mat. Sbornik (N. S.) 1 (1936), 815–846 (in Russian).Amer. Math. Soc. Translations, Series 2, 32 (1963), 1–35.
[6] Lehto, O. &Virtanen, K. I., Boundary behavior and normal meromorphic functions.Acta Math., 97 (1957), 47–65. · Zbl 0077.07702 · doi:10.1007/BF02392392
[7] Lohwater, A. J. &Piranian, G., Linear accessibility of boundary points of a Jordan region.Comment. Math. Helv., 25 (1951), 173–180. · Zbl 0043.08204 · doi:10.1007/BF02566452
[8] Lusin, N. N. &Priwalow, I. I., Sur l’unicité et la multiplicité des fonctions analytiques.Ann. Sci. École Norm. Sup., 42 (1925), 143–191. · JFM 51.0245.01
[9] McMillan, J. E., On the boundary correspondence under conformal mapping.Duke Math. J., to appear. · Zbl 0222.30007
[10] Nevanlinna, R.,Eindeutige analytische Funktionen. Springer, Berlin, 1953.
[11] Noshiro, K.,Cluster sets. Springer, Berlin, 1960. · Zbl 0090.28801
[12] Plessner, A., Über das Verhalten analytischer Funktionen am Rande ihres Definitions-bereiches.J. Reine Angew. Math., 158 (1927), 219–227. · JFM 53.0284.01 · doi:10.1515/crll.1927.158.219
[13] Priwalow, I. I.,Randeigenschaften analytischer Funktionen. Deutscher Verlag der Wissenschaften, Berlin, 1956.
[14] Saks, S.,Theory of the integral. Hafner, New York, 1937. · Zbl 0017.30004
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.