Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4641594 | Journal of Computational and Applied Mathematics | 2010 | 7 Pages |
Abstract
The asymptotic contracted measure of zeros of a large class of orthogonal polynomials is explicitly given in the form of a Lauricella function. The polynomials are defined by means of a three-term recurrence relation whose coefficients may be unbounded but vary regularly and have a different behaviour for even and odd indices. Subclasses of systems of orthogonal polynomials having their contracted measure of zeros of regular, uniform, Wigner, Weyl, Karamata and hypergeometric types are explicitly identified. Some illustrative examples are given.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
P. Martínez-González, A. Zarzo,