Schur class
In mathematics, the Schur class consists of the Schur functions: the holomorphic functions from the open unit disk to the closed unit disk. These functions were studied by.
The Schur parameters γj of a Schur function f0 are defined recursively by
The Schur parameters γj all have absolute value at most 1.
This gives a continued fraction expansion of the Schur function f0 by repeatedly using the fact that
which gives
