IMAGE GENERATION BY BLASCHKE PRODUCTS IN THE UNIT DISK

Abstract

After the computer graphical representation of the mysterious Mandelbrot set in the late 1970s, computer graphics are contributing greatly to the representations of natural phenomena and structures of dynamical systems. In particular, the visual representation of the dynamics of a simple complex analytic map becomes a field of computer art. In this paper, the convergence patterns of sequences of partial products of infinite Blaschke products are visualized and are exploited to generate color graphics images.