Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8900865 | Applied Mathematics and Computation | 2018 | 11 Pages |
Abstract
It is proved a characterization theorem for semi-classical orthogonal polynomials on non-uniform lattices that states the equivalence between the Pearson equation for the weight and some systems involving the orthogonal polynomials as well as the functions of the second kind. As a consequence, it is deduced the analogue of the so-called compatibility conditions in the ladder operator scheme. The classical orthogonal polynomials on non-uniform lattices are then recovered under such compatibility conditions, through a closed formula for the recurrence relation coefficients.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
A. Branquinho, Y. Chen, G. Filipuk, M.N. Rebocho,