Iteration and the Solution of Functional Equations for Functions Analytic In the Unit Disk
Iteration and the Solution of Functional Equations for Functions Analytic In the Unit Disk
This paper considers the classical functional equations of Schroeder / ° <f = \f, and Abel / ° <p = / + 1, and related problems of fractional iteration where q> is an analytic mapping of the open unit disk into itself.The main theorem states that under very general conditions …