Casorati type determinants of some 𝔮-classical orthogonal polynomials

Durán, Antonio; Arvesú, Jorge

doi:10.1090/proc/12839

Casorati type determinants of some $\mathfrak {q}$-classical orthogonal polynomials
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by Antonio J. Durán and Jorge Arvesú PDF

Proc. Amer. Math. Soc. 144 (2016), 1655-1668 Request permission

Abstract:

Some symmetries for Casorati determinants whose entries are $\mathfrak {q}$-classical orthogonal polynomials are studied. Special attention is paid to the symmetry involving Big $\mathfrak {q}$-Jacobi polynomials. Some limiting situations, for other related $\mathfrak {q}$-classical orthogonal polynomial families in the $\mathfrak {q}$-Askey scheme, namely $\mathfrak {q}$-Meixner, $\mathfrak {q}$-Charlier, and $\mathfrak {q}$-Laguerre polynomials, are considered.

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