Correction to a theorem of Schoenberg

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dc.creatorRagnarsson, Carl Johan
dc.creatorSuen, Wesley Wai
dc.creatorWagner, David G.
dc.date2004-06-15
dc.date.accessioned2026-07-07T05:09:16Z
dc.date.available2026-07-07T05:09:16Z
dc.descriptionA well-known theorem of Schoenberg states that if f(z) generates a PF_r sequence then 1/f(-z) generates a PF_r sequence. We give two counterexamples which show that this is not true, and give a correct version of the theorem. In the infinite limit the result is sound: if f(z) generates a PF sequence then 1/f(-z) generates a PF sequence.
dc.description4 pages
dc.identifierhttps://arxiv.org/abs/math/0406309
dc.identifierhttp://arxiv.org/abs/math/0406309
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/71570
dc.subjectGeneral Mathematics
dc.subjectCombinatorics
dc.subject15A48; 15A45, 15A57, 05E05
dc.titleCorrection to a theorem of Schoenberg
dc.typetext

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