Arkiv för Matematik

  • Ark. Mat.
  • Volume 5, Number 3-4 (1964), 357-361.

The functional equation fn(x)=g(x)

James C. Lillo

Full-text: Open access

Article information

Source
Ark. Mat., Volume 5, Number 3-4 (1964), 357-361.

Dates
First available in Project Euclid: 31 January 2017

Permanent link to this document
https://projecteuclid.org/euclid.afm/1485893456

Digital Object Identifier
doi:10.1007/BF02591136

Mathematical Reviews number (MathSciNet)
MR217468

Rights
1965 © Swets & Zeitlinger B.V.

Citation

Lillo, James C. The functional equation f n ( x )= g ( x ). Ark. Mat. 5 (1964), no. 3-4, 357--361. doi:10.1007/BF02591136. https://projecteuclid.org/euclid.afm/1485893456


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References

  • Bodewadt, U. T., Zur Iteration reeller Funktionen. Math. Z. 49, 497–516 (1944).
  • Ewing, G. M., and Utz, W. R., Continuous solutions of fn(x)=f(x). Can. J. Math. 5, 101–3 (1953).
  • Isaccs, R., Iterates of fractional order. Can. J. Math. 2, 409–16 (1950).
  • Lojasiewicz, S., Solution générale de l'équation foncitionelle f(f(... f(x)...))=g(x). Ann. Soc. Polon. Math. 24, 88–91 (1952).
  • Massera, J. L., and Petracca, A., On the functional equation f(f(x))=1/x. Revista Union Mat. Argentina 11, 206–211 (1946).