Method for solving an iterative functional equation $A^{2^n}(x)=F(x)$

Dmitry Kruchinin, Vladimir Kruchinin

Using the notion of the composita, we obtain a method of solving iterative functional equations of the form $A^{2^n}(x)=F(x)$, where $F(x)={\sum }_{n>0}f(n)x^n$, $f(1)\ne 0$. We pro…