2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/67055We 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 pagesClassical Analysis and ODEs33D45 (Primary) 05A30; 15A15; 42C05 (Secondary)text