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 (q;q)n is the descending q-Pochhammer symbol. Furthermore, the satisfy (for ) the recurrence relation with and . References Orthogonal polynomials Q-analogs