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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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On the convergence of infinite exponentials
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by Donald L. Shell PDF
Proc. Amer. Math. Soc. 13 (1962), 678-681 Request permission
References
  • D. F. Barrow, Infinite Exponentials, Amer. Math. Monthly 43 (1936), no. 3, 150–160. MR 1523609, DOI 10.2307/2300357
  • A. Carlsson, On Itereade Funktioner, Uppsala (1907). Marquis de Condorcet, Sur quelques séries infinies dont la somme punt etre exprimeé par des fontions analytiques d’une forme particuliere, Acta Academiae Scientiarum Petropolitanae 1 (1777), 34-37. L. Euler, De formulis exponentialibus replicatus, Opera Omnia, Series Prima XV, 268-297; Acta Academiae Petropolitanae 1 (1777), 38-60. M. D. Gravé, Sur les expressions dites surpuissances, Nouvelles Annales de Mathematiques (3) 17 (1898), 80-91.
  • G. Koenigs, Recherches sur les intégrales de certaines équations fonctionnelles, Ann. Sci. École Norm. Sup. (3) 1 (1884), 3–41 (French). MR 1508749
  • Paul Montel, Leçons sur les récurrences et leurs applications, Gauthier-Villars, Paris, 1957 (French). Recueillies et rédigées par Jacques Dufresnoy et Éloi Lefebvre. MR 0087875
  • L. Seidel, Ueber die Grenzwerthe eines unendlichen Potenzausdruckes, Abhandlungen der Mathematisch physikalischen Classe der Königlich Bayerischen Akademie der Wissenschaften 11 (1874), 1-10.
  • W. J. Thron, Convergence of infinite exponentials with complex elements, Proc. Amer. Math. Soc. 8 (1957), 1040–1043. MR 96054, DOI 10.1090/S0002-9939-1957-0096054-X
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Additional Information
  • © Copyright 1962 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 13 (1962), 678-681
  • MSC: Primary 40.20
  • DOI: https://doi.org/10.1090/S0002-9939-1962-0141910-9
  • MathSciNet review: 0141910