Scope and source assessment

Henry Zweiman · September 22, 2026 · P56

The main theorem concerns an input polynomial of degree exactly n with strictly negative roots. The Karp application assumes f0 fn > 0 and includes his binomial coefficient through a third Hadamard factor. The unrestricted finite-PF statement is qualified by a proved nonpositive-root limit result and explicit zero-root examples.

Primary sources consulted:

• D. Karp, arXiv:1203.1482: Conjecture 3; equations (3) and (7); Section 5's discussion of finite PF sequences. https://arxiv.org/pdf/1203.1482
• J. Garloff and D. G. Wagner, JMAA 202 (1996), 797-809: the definition of the ordinary Hadamard product, Malo's result on page 798, and Theorem 4(a). https://www-home.htwg-konstanz.de/~garloff/Garloff_Wagner_Hadamard_Products.pdf
• The Aissen--Schoenberg--Whitney characterization is used as an established theorem; its bibliographic reference was checked in Karp's article.

The proof's deduction from these results is contained in the manuscript. Bounded literature searches did not establish historical novelty or the current publication status of the positive-endpoint conjecture. This archive entry is a research preprint, not a claim of peer review or priority. No third-party article PDFs are redistributed.