On higher Heine-Stieltjes polynomials
| dc.creator | Holst, Thomas | |
| dc.creator | Shapiro, Boris | |
| dc.date | 2009-04-01 | |
| dc.date.accessioned | 2026-07-07T12:59:08Z | |
| dc.date.available | 2026-07-07T12:59:08Z | |
| dc.description | Given a differential operator T=\sum_{i=1}^k Q_i(z)d^i/dz^i where each Q_i(z) is a polynomial define r=max_i deg(Q_i(z)-i). Assuming that r is nonnegative we consider the following multiparameter spectral problem: for each positive integer n find all polynomials V(z) of degree at most r such that the equation T(S(z))+V(z)S(z)=0 has a polynomial solution S(z) of degree n. We calculate for any converging sequence of normalized polynomials V_j(z) the root-counting measure of the corresponding sequence of polynomials S_j(z). | |
| dc.description | 17 pages, 6 figures | |
| dc.identifier | https://arxiv.org/abs/0904.0218 | |
| dc.identifier | http://arxiv.org/abs/0904.0218 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/225479 | |
| dc.subject | Classical Analysis and ODEs | |
| dc.subject | Mathematical Physics | |
| dc.subject | 30C15, 31A15, 34E99 | |
| dc.title | On higher Heine-Stieltjes polynomials | |
| dc.type | text |