Correction to a theorem of Schoenberg

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A 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 pages

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General Mathematics, Combinatorics, 15A48; 15A45, 15A57, 05E05

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http://salesiana.dossiersoluciones.com/handle/123456789/71570

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0406309
 http://arxiv.org/abs/math/0406309

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arXiv