The zeros of an analytic function of arbitrarily rapid growth
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- by Annette Sinclair
- Proc. Amer. Math. Soc. 3 (1952), 416-424
- DOI: https://doi.org/10.1090/S0002-9939-1952-0048557-7
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References
- É. Borel, Leçons sur les séries à termes positifs, Paris, 1902, p. 27.
- P. W. Ketchum, On the possible rate of growth of an analytic function, Trans. Amer. Math. Soc. 49 (1941), 211–228. MR 3801, DOI 10.1090/S0002-9947-1941-0003801-4
- M. H. A. Newman, Elements of the topology of plane sets of points, Cambridge, at the University Press, 1951. 2nd ed. MR 0044820 H. Poincaré, Sur les fonctions à espaces lacunaires, Amer. J. Math. vol. 14 (1892) p. 214.
- Annette Sinclair, Generalization of Runge’s theorem to approximation by analytic functions, Trans. Amer. Math. Soc. 72 (1952), 148–164. MR 47137, DOI 10.1090/S0002-9947-1952-0047137-1
Bibliographic Information
- © Copyright 1952 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 3 (1952), 416-424
- MSC: Primary 30.0X
- DOI: https://doi.org/10.1090/S0002-9939-1952-0048557-7
- MathSciNet review: 0048557