Discriminants and Functional Equations for Polynomials Orthogonal on the Unit Circle

Simple item page
dc.creatorIsmail, Mourad E. H.
dc.creatorWitte, Nicholas S.
dc.date2000-12-29
dc.date2001-08-01
dc.date.accessioned2026-07-07T04:39:26Z
dc.date.available2026-07-07T04:39:26Z
dc.descriptionWe derive raising and lowering operators for orthogonal polynomials on the unit circle and find second order differential and $q$-difference equations for these polynomials. A general functional equation is found which allows one to relate the zeros of the orthogonal polynomials to the stationary values of an explicit quasi-energy and implies recurrences on the orthogonal polynomial coefficients. We also evaluate the discriminants and quantized discriminants of polynomials orthogonal on the unit circle.
dc.description27 pages, Latex2e plus AMS packages Fix to Eqs. (2.72) and (2.74)
dc.identifierhttps://arxiv.org/abs/math/0012259
dc.identifierhttp://arxiv.org/abs/math/0012259
dc.identifierJ. Approx. Theory 110 (2001), 200-228
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/60660
dc.subjectClassical Analysis and ODEs
dc.subject42C05; 33C45
dc.titleDiscriminants and Functional Equations for Polynomials Orthogonal on the Unit Circle
dc.typetext

Files

Collections

arXiv