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On the solution of $ f(f(z))=e\sp z-1$ and its domain of regularity


Author: Robert Osserman
Journal: Proc. Amer. Math. Soc. 8 (1957), 262-263
MSC: Primary 35.0X
DOI: https://doi.org/10.1090/S0002-9939-1957-0087024-6
MathSciNet review: 0087024
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References [Enhancements On Off] (What's this?)

  • [1] Baker, The iteration of entire transcendental functions and the solution of the functional equation $ f(f(z)) = F(z)$, Math. Ann. vol. 129 (1955) pp. 174-180. MR 0069267 (16:1010e)
  • [2] Kneser, Reele analytische Lösungen der Gleichung $ \phi (\phi (x)) = {e^x}$, J. Reine Angew. Math. vol. 187 (1950) pp. 56-67.
  • [3] Thron, Entire solutions of the functional equation $ f(f(z)) = g(z)$, Canadian Journal of Mathematics vol. 8 (1956) pp. 47-48. MR 0074690 (17:631e)

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DOI: https://doi.org/10.1090/S0002-9939-1957-0087024-6
Article copyright: © Copyright 1957 American Mathematical Society

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