Casorati Type Determinants Of Some Q-Classical Orthogonal Polynomials Articles uri icon

publication date

  • April 2016

start page

  • 1655

end page

  • 1668

issue

  • 4

volume

  • 144

international standard serial number (ISSN)

  • 0002-9939

electronic international standard serial number (EISSN)

  • 1088-6826

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 q-Askey scheme, namely q-Meixner, q-Charlier, and q-Laguerre polynomials, are considered.

keywords

  • orthogonal polynomials; q classical polynomials; wronskian determinant; casorati determinant