Discrete orthogonality relations for multi-indexed Laguerre and Jacobi polynomials
Discrete orthogonality relations for multi-indexed Laguerre and Jacobi polynomials
The discrete orthogonality relations hold for all the orthogonal polynomials obeying three term recurrence relations. We show that they also hold for multi-indexed Laguerre and Jacobi polynomials, which are new orthogonal polynomials obtained by deforming these classical orthogonal polynomials. The discrete orthogonality relations could be considered as a more encompassing …