Probabilistic aspects of Al-Salam-Chihara polynomials

Details Probabilistic aspects of Al-Salam-Chihara polynomials Probabilistic aspects of Al-Salam-Chihara polynomials

2003-04-14

arxiv.org/abs/math/0304155v3

Proc. Amer. Math. Soc. 133 (2005) 1127-1134

Mathematics

Classical Analysis and ODEs

LaTeX, 8 pages

Scientific paper

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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