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

Abstract

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

Invariance properties of Wronskian type determinants of classical and classical discrete orthogonal polynomials

“…Wronskian and Casoratian determinants whose entries are orthogonal polynomials belonging to the Askey and q-Askey schemes satisfy some very impressive invariance properties (se [6,7,11,20,30,31]). They have been found using different approaches.…”