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Rogers–Szegő polynomials
In
mathematics
, the
Rogers–Szegő
polynomials
are a
family
of
polynomials orthogonal on the unit circle
introduced by, who was
inspired
by the
continuous
q
-Hermite polynomials
studied
by
Leonard James Rogers
. They are given by
where
n
is the
descending
q-Pochhammer symbol
.
Furthermore
, the
satisfy
the
recurrence relation
with and.