On the derivative of a univalent function
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- by A. J. Lohwater and George Piranian
- Proc. Amer. Math. Soc. 4 (1953), 591-594
- DOI: https://doi.org/10.1090/S0002-9939-1953-0056700-X
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References
- Arne Beurling, Ensembles exceptionnels, Acta Math. 72 (1940), 1–13 (French). MR 1370, DOI 10.1007/BF02546325
- Jacques Dufresnoy, Sur la correspondance des frontières dans la représentation conforme, C. R. Acad. Sci. Paris 220 (1945), 189–190 (French). MR 12667 O. Frostman, Potential d’équilibre et capacité des ensembles avec quelques applications à la théorie des fonctions, Meddelanden från Lunds Universitets Matematiska Seminarium vol. 3 (1935) pp. 1-115. R. Nevanlinna, Eindeutige analytische Funktionen, Berlin, 1936.
- W. Seidel and J. 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. MR 7924, DOI 10.1090/S0002-9947-1942-0007924-6
- Masatsugu Tsuji, Beurling’s theorem on exceptional sets, Tohoku Math. J. (2) 2 (1950), 113–125. MR 40435, DOI 10.2748/tmj/1178245640
Bibliographic Information
- © Copyright 1953 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 4 (1953), 591-594
- MSC: Primary 30.0X
- DOI: https://doi.org/10.1090/S0002-9939-1953-0056700-X
- MathSciNet review: 0056700