Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4642397 | Journal of Computational and Applied Mathematics | 2008 | 13 Pages |
Abstract
Sequences {pn}n=0∞ of polynomials, orthogonal with respect to signed measures, are associated with a class of differential equations including the Mathieu, Lamé and Whittaker–Hill equation. It is shown that the zeros of pnpn form sequences which converge to the eigenvalues of the corresponding differential equations. Moreover, interlacing properties of the zeros of pnpn are found. Applications to the numerical treatment of eigenvalue problems are given.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Hans Volkmer,