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A note on non-linearizable analytic functions. (English) Zbl 0481.30024

##### MSC:
 30D05 Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable
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##### References:
 [1] Ahlfors, L.,Complex Analysis, 2 nd Edition, McGraw-Hill Kogakusha, Ltd. · Zbl 0154.31904 [2] Camacho, C.,Local Structure of Conformal Mappings and Holomorphic Vector fields in $$\mathbb{C}$$2, Journées Singuliers de Dijon, Asterisque, 1978. [3] Conway, J.,Functions of One Complex Variable, Graduate Texts in Mathematics 11, Springer-Verlag. · Zbl 0277.30001 [4] Cremer, H.,Zum Zentrumproblen, Math. Ann. 98 (1927–28). [5] Guckenheimer, J.,Endomorphisms of the Riemann Sphere, Proc. Amer. Math. Soc., Symp. 14 (1968). · Zbl 0205.54102 [6] Julia, C.,Memoire sur l’iteration des fonctions rationelles, J. Math. Pures Appl. 4 (1918), 47–245. [7] Siegel, C. L.,Iteration of analytic functions, Ann. of Math. 43 (1942). · Zbl 0061.14904 [8] Siegel, C. L.,Curso de Mecânica Celeste, pg. 200, Fundação Calouste Gulbenkian, Lisboa.
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