Probabilistic aspects of Al-Salam-Chihara polynomials

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We solve the connection coefficient problem between the Al-Salam-Chihara polynomials and the q-Hermite polynomials, and we use the resulting identity to answer a question from probability theory. We also derive the distribution of some Al-Salam-Chihara polynomials, and compute determinants of related Hankel matrices.
LaTeX, 8 pages

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Classical Analysis and ODEs, 33D45 (Primary) 05A30; 15A15; 42C05 (Secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/67055

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0304155
 http://arxiv.org/abs/math/0304155
 Proc. Amer. Math. Soc. 133 (2005) 1127-1134

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arXiv