Duality for classical orthogonal polynomials (Q1772328)

Some aspects of duality for the classical orthogonal polynomials named after Laguerre and Jacobi are explained. The Laguerre polynomials form a limit case of the discrete Meixner polynomials. A certain integral identity involving Laguerre polynomials can be obtained as a limiting case of an identity involving Meixner polynomials. In a similar way, certain integral identities involving Jacobi polynomials can be explained by considering the duality relation between Hahn and dual Hahn polynomials.