PageHeader : Funkcialaj Ekvacioj, 14 (1971), 197-238
Title : On the Iteration of Analytic Functions
AuthorInfo : By Tosihusa KIMURA
AuthorInfo : (University of Tokyo)
section : Introduction
section : PART I. FORMAL THEORY
subsection : ��1. Formal transforms of f by formal changes of variable.
subsection : ��2. Transformation to Abel's equation.
subsection : ��3. A formal inverse of $\phi$ .
subsection : ��4. Formal complex analytic iterate of $F$ .
subsection : ��5. Equation (E).
section : PART II. ANALYTIC THEORY
subsection : ��6. Existence of asymptotic solutions of equation (A).
subsection : ��7. Uniqueness theorem.
subsection : ��8. Existence of asymptotic solutions in $S(\epsilon,R)$ .
subsection : ��9. Estimates for iterates of $F(z)$ .
subsection : ��10. Extension of the domain of asymptoticity.
subsection : ��11. The inverse $\phi^{-1}(z)$ of $\phi(z)$ .
subsection : ��12. Complex analytic iterates of $F(z)$ .
subsection : ��13. Equation (E) and complex analytic iterates of $f(x)$ .
subsection : ��14. Difference equation.
section : References