Correction to a theorem of Schoenberg
General Mathematics
2007-05-23 v1 Combinatorics
Abstract
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.
Cite
@article{arxiv.math/0406309,
title = {Correction to a theorem of Schoenberg},
author = {Carl Johan Ragnarsson and Wesley Wai Suen and David G. Wagner},
journal= {arXiv preprint arXiv:math/0406309},
year = {2007}
}
Comments
4 pages