92
Views
6
CrossRef citations to date
0
Altmetric
Original Articles

Iterated Exponentials

Pages 668-679 | Published online: 01 Feb 2018

REFERENCES

  • D. F. Barrow, Infinite exponentials, this MONTHLY 43 (1936) 150–160.
  • D. Bernoulli, Letter to Goldbach, in Correspondance mathématique et physique de quelles célèbres géomètres du XVIII siècle, vol. 2, P.-H. von Fuss, ed., Imperial Academy of Sciences, St. Petersburg, 1843, p. 262.
  • Y. Cho and K. Park, Inverse functions of y = x1/x, this Monthly 108 (2001) 963–967.
  • M. J. A. N. C Marquis de Condorcet, Sur quelques series infinies dont la somme puet être exprimée par des fonctions analytique d'une forme particulière, Acta Scientiarum Petropolitanae 1 (1778) 34–37.
  • M. Creutz and R. M. Sternheimer, On the convergence of iterated exponentials, Fibonacci Quart. 18 (1980) 341–47.
  • G. Eisenstein, Entwicklung von ααα, J. Reine Angew. Math. 28 (1844) 49–52.
  • L. Euler, De formulis exponentialibus replicatis, Acta Scientiarum Petropolitanae 1 (1778) 38–60; also in Opera Omnia, vol. 15, G. Faber, ed., Teubner, Leipzig, 1927, pp. 268–297.
  • C. Goldbach, Letter to Daniel Bernoulli, in Correspondance mathématique et physique de quelles célèbres géomètres du XVIII siècle, vol. 2, P.-H. von Fuss, ed., Imperial Academy of Sciences, St. Petersburg, 1843, pp. 280–281.
  • S. Hurwitz, On the rational solutions of mn = nm with m ≠ m, this Monthly 74 (1967) 298–300.
  • R. A. Knoebel, Exponentials reiterated, this MONTHLY 88 (1981) 235–252.
  • H. Länger, An elementary proof of the convergence of iterated exponentials, Elem. Math. 51 (1996) 75–77.
  • A. J. Macintyre, Convergence of iii, Proc. Amer. Math. Soc. 17 (1966) 67.
  • D. L. Shell, On the convergence of infinite exponentials, Proc. Amer. Math. Soc. 13 (1962) 678–681.
  • W. J. Thron, Convergence of infinite exponentials with complex elements, Proc. Amer. Math. Soc. 8 (1957) 1040–1043.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.