Determinants with orthogonal polynomial entries (Q1772346)

The author uses moment representations of orthogonal polynomials to evaluate the corresponding Hankel determinants formed by the orthogonal polynomials. He also studies the Hankel determinants which start with the orthogonal polynomial \(p_n\) on the top left-hand corner. As an example, he evaluates the Hankel determinants whose entries are \(q\)-ultraspherical or Al-Salam-Chihara polynomials.