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Probabilistic aspects of Al-Salam-Chihara polynomials

Wlodzimierz Bryc·Wojciech Matysiak·Pawel J. Szablowski
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Abstract

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.

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Wlodzimierz Bryc, Wojciech Matysiak, Pawel J. Szablowski. 2003-12-02. Probabilistic aspects of Al-Salam-Chihara polynomials. https://arxiv.org/abs/math/0304155

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