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aequationes mathematicae

, Volume 24, Issue 1, pp 187–194 | Cite as

Analytic solutions of Böttcher's functional equation in the unit disk

  • Carl C. Cowen
Research Papers

AMS (1980) subject classification

Primary 30D05 Secondary 39B10 

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References

  1. Cowen, C. C.,Iteration and the solution of functional equations for functions analytic in the unit disk. Trans. Amer. Math. Soc.265 (1981), 69–95.Google Scholar
  2. Koenigs, G., Recherches sur les integrales des certaines équations fonctionelles. Ann. Ec. Norm. Sup. (3)1 (1884), supplément, 3–41.Google Scholar
  3. Ger, J. andSmajdor, A.,Regular iteration in the case of multiplier zero. Aequationes Math.7 (1972), 127–131.Google Scholar
  4. Kuczma, M., Sur l'équation fonctionnelle de Bottcher. Mathematica (Cluj)8 (1966), 279–285.Google Scholar
  5. Kuczma, M., Une remarque sur les solutions analytiques d'une équation fonctionnelle. Colloq. Math.16 (1967), 93–99.Google Scholar
  6. Kuczma, M.,Functional equations in a single variable. Polish Scientific Publishers, Warszawa, 1968.Google Scholar
  7. Pommerenke, Ch.,On the iteration of analytic functions in a half plane. I. J. London Math. Soc. (2)19 (1979), 439–447.Google Scholar
  8. Szekeres, G.,Regular iteration of real and complex functions. Acta Math.100 (1958), 203–258.Google Scholar
  9. Valiron, G.,Fonctions analytiques. Presses Universitaires de France, Paris, 1954.Google Scholar

Copyright information

© Birkhäuser Verlag 1982

Authors and Affiliations

  • Carl C. Cowen
    • 1
  1. 1.Department of MathematicsPurdue UniversityWest LafayetteUSA

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