On the solution of $f(f(z))=e^ z-1$ and its domain of regularity
HTML articles powered by AMS MathViewer
- by Robert Osserman PDF
- Proc. Amer. Math. Soc. 8 (1957), 262-263 Request permission
References
- I. N. Baker, The iteration of entire transcendental functions and the solution of the functional equation $f\{f(z)\}=F(z)$, Math. Ann. 129 (1955), 174β180. MR 69267, DOI 10.1007/BF01362363 Kneser, Reele analytische LΓΆsungen der Gleichung $\phi (\phi (x)) = {e^x}$, J. Reine Angew. Math. vol. 187 (1950) pp. 56-67.
- W. J. Thron, Entire solutions of the functional equation $f(f(z))=g(z)$, Canadian J. Math. 8 (1956), 47β48. MR 74690, DOI 10.4153/CJM-1956-008-4
Additional Information
- © Copyright 1957 American Mathematical Society
- 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