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Proceedings of the American Mathematical Society

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The ``overconvergence'' of bounded normal families of analytic functions

Author: Alan Wilson
Journal: Proc. Amer. Math. Soc. 12 (1961), 498-501
MSC: Primary 30.30
MathSciNet review: 0125950
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  • [1] A. Ostrowski, Über Potenzreihen die überkonvergente Abschnittsfolgen besitzen, Berliner Sitzungsberichte (1923) pp. 185-192.
  • [2] -, Über eine Eigenschaft gewisser Potenzreihen mit unendlich vielen verschwindenden Koeffizienten, Berliner Sitzungsberichte (1921) pp. 557-565.
  • [3] J. Hadamard, Essai sur l'étude des fonctions données par leurs développements de Taylor, J. Math. Pures Appl. (4) vol. 8 pp. 101-186.
  • [4] P. Dienes, The Taylor series: an introduction to the theory of functions of a complex variable, Dover Publications, Inc., New York, 1957. MR 0089895
  • [5] Guy Johnson Jr., Collective singularities of a family of analytic functions, Proc. Amer. Math. Soc. 7 (1956), 653–655. MR 0079088, 10.1090/S0002-9939-1956-0079088-X
  • [6] L. J. Mordell, On power series with the circle of convergence as a line of essential singularities, J. London Math. Soc. vol. 2 (1927) pp. 146-148.

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Article copyright: © Copyright 1961 American Mathematical Society