References
M. Abate,Iteration Theory of Holomorphic Maps on Taut Manifolds, Mediterranean Press, 1989.
L. V. Ahlfors,Complex Analysis, Third Edition, McGraw-Hill, New York, 1979.
D. F. Behan,Commuting analytic functions without fixed points, Proc. Amer. Math. Soc.37 (1973), 114–120.
R. B. Burckel,An Introduction to Classical Complex Analysis, Academic Press, New York, 1979.
C. C. Cowen,Iteration and the solution of functional equations for functions analytic in the unit disk, Trans. Amer. Math. Soc.265 (1981), 69–95.
C. C. Cowen,Commuting analytic functions, Trans. Amer. Math. Soc.283 (1984), 685–695.
O. Forster,Lectures on Riemann Surfaces, Springer-Verlag, New York, 1981.
G. Gentili and F. Vlacci,Pseudo-iteration semigroups and commuting holomorphic maps, Rend. Mat. Acc. Lincei (9)5 (1994), 33–42.
G. M. Goluzin,Geometric Theory of Functions of a Complex Variable, American Mathematical Society, Providence, 1969.
J. Hadamard,Two works on iteration and related questions, Bull. Amer. Math. Soc.50 (1944), 67–75.
G. Julia,Leçons sur la représentations conforme des aires multiplement connexes, Gauthier-Villars, Paris, 1934.
Z. Nehari,Conformal Mapping, Dover, New York, 1975.
Ch. Pommerenke,Univalent Functions, Vandenhoeck and Ruprecht, Göttingen, 1975.
Ch. Pommerenke,On the iteration of analytic functions in a half-plane. I, J. London Math. Soc.19 (1979), 439–447.
Ch. Pommerenke,Boundary Behaviour of Conformal Maps, Springer-Verlag, Berlin-Heilderberg, 1992.
W. A. Pranger,Iteration of functions analytic on a disk Aequationes Math.4 (1970), 201–204.
E. Vesentini,Capitoli scelti della teoria delle funzioni olomorfe, Unione Matematica Italiana, 1984.
F. Vlacci, On commuting holomorphic maps in the unit disc ofC, Complex Variables30 (1996), 301–313.
J. Wolff,Sur une généralisation d’un théorème de Schwarz, C. R. Acad. Sci. Paris182 (1926), 918–920.
J. Wolff,Sur une généralisation d’un théorème de Schwarz, C. R. Acad. Sci. Paris183 (1926), 500–502.
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Vlacci, F. Iteration theory in hyperbolic domains. J. Anal. Math. 74, 51–66 (1998). https://doi.org/10.1007/BF02819445
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DOI: https://doi.org/10.1007/BF02819445