Finite Blaschke products: A survey

Stephan Ramon Garcia
Javad Mashreghi
William T. Ross, University of Richmond


A finite Blaschke product is a product of finitely many automorphisms of the unit disk. This brief survey covers some of the main topics in the area, including characterizations of Blaschke products, approximation theorems, derivatives and residues of Blaschke products, geometric localization of zeros, and selected other topics.