On Roots of Eigenpolynomials for Degenerate Exactly-Solvable Differential Operators

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dc.creatorBergkvist, Tanja
dc.creatorBjork, Jan-Erik
dc.date2007-01-24
dc.date.accessioned2026-07-07T07:42:50Z
dc.date.available2026-07-07T07:42:50Z
dc.descriptionIn this paper we partially settle our conjecture from [1] (math.SP/0701143) on roots of eigenpolynomials for degenerate exactly-solvable operators. Namely, for any such operator, we establish a lower bound (which supports our conjecture) for the largest modulus of the roots of its unique and monic eigenpolynomial as its degree tends to infinity. The main theorem below thus extends earlier results obtained in [1] for a more restrictive class of operators.
dc.description12 pages, 3 figures, submitted. Also available at http://www.math.su.se/reports/2006/10/
dc.identifierhttps://arxiv.org/abs/math/0701674
dc.identifierhttp://arxiv.org/abs/math/0701674
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/122592
dc.subjectSpectral Theory
dc.subject34L20
dc.titleOn Roots of Eigenpolynomials for Degenerate Exactly-Solvable Differential Operators
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