Geodesic
Improved Versions of Forms of Plessner's Theorem
Canadian journal of mathematics, Tome 26 (1974) no. 1, pp. 251-255

Voir la notice de l'article provenant de la source Cambridge University Press

With the aid of a theorem about the Julia points of a function meromorphic in the unit disk, this paper strengthens a theorem of K. Meier. As a consequence a stronger form of Plessner's Theorem is seen to hold which contains a theorem of E. F. Collingwood. An additional consequence is a stronger form of Meier's analogue to Plessner's Theorem. 
Colwell, Peter. Improved Versions of Forms of Plessner's Theorem. Canadian journal of mathematics, Tome 26 (1974) no. 1, pp. 251-255. doi: 10.4153/CJM-1974-025-0
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[1] 1. Collingwood, E. F., A boundary theorem for Tsuji functions, Nagoya Math. J. 29 (1967), 197–200. Google Scholar

[2] 2. Collingwood, E. F. and Lohwater, A. J., The theory of cluster sets (Cambridge Tracts in Mathematics and Mathematical Physics, No. 56, Cambridge, 1966). Google Scholar

[3] 3. Gauthier, P., A criterion for normalcy, Nagoya Math. J. 32 (1968), 277–282. Google Scholar

[4] 4. Gauthier, P., The non-Plessner points for the Schwarz triangle functions, Ann. Acad. Sci. Fenn. A I 422 (1968), 1–6. Google Scholar

[5] 5. Lappan, P., Some sequential properties of normal and non-normal functions with applications to automorphic functions, Comm. Math. Univ. Sancti Pauli 12 (1964), 41–57. Google Scholar

[6] 6. Meier, K., Über die Randwerte der meromorphen Funktionen, Math. Ann. 142 (1961), 328–344. Google Scholar

[7] 7. Plessner, A.I., Über das Verhalten analytischer Funktionen am Rande Hires Definitionsbereichs, J. Reine Angew. Math. 158 (1927), 219–227. Google Scholar

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