Geodesic
Koenigs Function and Fractional Iteration of Functions Analytic in the Unit Disk with Real Coefficients and Fixed Points
Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 13 (2013) no. 1, pp. 67-71 
O. S. Kudryavtseva. Koenigs Function and Fractional Iteration of Functions Analytic in the Unit Disk with Real Coefficients and Fixed Points. Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 13 (2013) no. 1, pp. 67-71. http://geodesic.mathdoc.fr/item/ISU_2013_13_1_a16/
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Voir la notice de l'article provenant de la source Math-Net.Ru

The present paper deals with the problem of fractional iteration of functions analytic in the unit disk, with real Taylor's coefficients. It is assumed that there exist interior and boundary fixed points. The solution is given in terms of the Koenigs function.

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