Correction to a theorem of Schoenberg

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/71570A 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.4 pagesGeneral MathematicsCombinatorics15A48; 15A45, 15A57, 05E05Correction to a theorem of Schoenbergtext