Determinants with orthogonal polynomial entries
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摘要
We use moment representations of orthogonal polynomials to evaluate the corresponding Hankel determinants formed by the orthogonal polynomials. We also study the Hankel determinants which start with pn on the top left-hand corner. As examples we evaluate the Hankel determinants whose entries are q-ultraspherical or Al-Salam–Chihara polynomials.
论文关键词：Turán determinants,Moments,Hankel determinants,Al-Salam–Chihara polynomials,q-ultraspherical polynomials
论文评审过程：Received 12 November 2003, Revised 27 January 2004, Available online 13 October 2004.
论文官网地址：https://doi.org/10.1016/j.cam.2004.01.042
