References
F. Bagemihl andW. Seidel,Behavior of meromorphic functions on boundary paths, with applications to normal functions. Arch. Math. 11 (1960), 263–269.
L. Bieberbach,Lehrbuch der Funktionentheorie. Bd. II, 2. Aufl., Leipzig und Berlin, 1931.
C. Gattegno etA. Ostrowski,Représentation conforme à la frontière; domaines généraux. Paris, 1949.
W. Gross,Über die Singularitäten analytischer Funktionen. Monatsh. Math. Phys. 29 (1918), 3–47.
O. Lehto andK. I. Virtanen,Boundary behaviour and normal meromorphic functions. Acta Math. 97 (1957), 47–65.
A. J. Lohwater andG. Piranian,The boundary behavior of functions analytic in a disk. Ann. Acad. Sci. Fenn. A I 239 (1957), 1–17.
R. Nevanlinna,Eindeutige analytische Funktionen. 2. Aufl., Berlin, Göttingen und Heidelberg, 1953.
I. I. Priwalow,Randeigenschaften analytischer Funktionen. Berlin, 1956.
W. Seidel andJ. L. Walsh,On the derivatives of functions analytic in the unit circle and their radii of univalence and of p-valence. Trans. Amer. Math. Soc. 52 (1942), 128–216.
M. Tsuji,Potential theory in modern function theory. Tokyo, 1959.
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W. Seidel’s contribution to this paper was supported by National Science Foundation Grant NSF G-9663 held at the University of Notre Dame, Indiana, U.S.A.
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Bagemihl, F., Seidel, W. Koebe arcs andFatou points of normal functions. Commentarii Mathematici Helvetici 36, 9–18 (1962). https://doi.org/10.1007/BF02566888
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DOI: https://doi.org/10.1007/BF02566888