Apparent Singularities of Linear Difference Equations with Polynomial Coefficients

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dc.creatorAbramov, S. A.
dc.creatorBarkatou, M. A.
dc.creatorvan Hoeij, M.
dc.date2004-09-27
dc.date.accessioned2026-07-07T05:12:36Z
dc.date.available2026-07-07T05:12:36Z
dc.descriptionLet L be a linear difference operator with polynomial coefficients. We consider singularities of L that correspond to roots of the trailing (resp. leading) coefficient of L. We prove that one can effectively construct a left multiple with polynomial coefficients L' of L such that every singularity of L' is a singularity of L that is not apparent. As a consequence, if all singularities of L are apparent, then L has a left multiple whose trailing and leading coefficients equal 1.
dc.identifierhttps://arxiv.org/abs/math/0409508
dc.identifierhttp://arxiv.org/abs/math/0409508
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/72633
dc.subjectClassical Analysis and ODEs
dc.titleApparent Singularities of Linear Difference Equations with Polynomial Coefficients
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