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Casorati type determinants of some $\mathfrak {q}$-classical orthogonal polynomials

Casorati type determinants of some $\mathfrak {q}$-classical orthogonal polynomials

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 …