References
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.
Koenigs, G., Recherches sur les integrales des certaines équations fonctionelles. Ann. Ec. Norm. Sup. (3)1 (1884), supplément, 3–41.
Ger, J. andSmajdor, A.,Regular iteration in the case of multiplier zero. Aequationes Math.7 (1972), 127–131.
Kuczma, M., Sur l'équation fonctionnelle de Bottcher. Mathematica (Cluj)8 (1966), 279–285.
Kuczma, M., Une remarque sur les solutions analytiques d'une équation fonctionnelle. Colloq. Math.16 (1967), 93–99.
Kuczma, M.,Functional equations in a single variable. Polish Scientific Publishers, Warszawa, 1968.
Pommerenke, Ch.,On the iteration of analytic functions in a half plane. I. J. London Math. Soc. (2)19 (1979), 439–447.
Szekeres, G.,Regular iteration of real and complex functions. Acta Math.100 (1958), 203–258.
Valiron, G.,Fonctions analytiques. Presses Universitaires de France, Paris, 1954.
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Research supported in part by National Science Foundation Grant MCS-7902018.
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Cowen, C.C. Analytic solutions of Böttcher's functional equation in the unit disk. Aeq. Math. 24, 187–194 (1982). https://doi.org/10.1007/BF02193043
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DOI: https://doi.org/10.1007/BF02193043