Let 
be a polynomial of degree 
and positive when
. The Bernstein–Szegö polynomials 
,
, are orthogonal on 
with respect to three types of
weight function: 
,
,
. In consequence,
can be given explicitly in terms of
and sines and cosines, provided that 
in the
first case, 
in the second case, and 
in the third
case. See Szegö (1975, §2.6).
