Unspecified Hypergeometric Positivity Problem

Definitions and mathematical statement

The supplied record does not specify a mathematical problem that can be stated precisely. Its statement consists of the following table-of-contents entries:

• Dmitry Karp, "Results and conjectures on log-concavity and zeros of hypergeometric and basic hypergeometric functions," p. 676.
• Bao-Xuan Zhu, "Some recent developments on positivity of combinatorial polynomials and matrices," p. 677.
• Olga Holtz, "Total nonnegativity of matrices and zero localization of entire functions," p. 677.
• Jonathan Leake, "Lorentzian polynomials on cones and the Heron-Rota-Welsh conjecture," p. 678.

The supplied passage concludes: "The report passage is retained verbatim as the relevant context for this extracted problem." These entries identify contributions and topics, but supply no definitions, hypotheses, parameter domains, boundary conditions, quantifiers, or asserted conclusion. In particular, they do not identify a particular hypergeometric-positivity conjecture. No mathematical statement can therefore be recovered from this evidence without additional source material.

The record is titled "Unspecified Hypergeometric Positivity Problem" and its supplied statement status is unrecoverable; no clean statement is supplied. Its supplied verification note reports that the official report contains a contents fragment without a recoverable standalone hypergeometric-positivity problem, that no separate clean statement is promoted, and that the original record remains publicly visible for provenance. This is a supplied verification claim, not an independent verification here. The supplied open label is conservative curation of an unclear target, not an established assertion that a specified mathematical conjecture remains open.

Short English statement

The record contains four contents entries, not a standalone mathematical problem. The intended hypergeometric-positivity assertion, its objects, and its hypotheses are unspecified. A precise statement requires additional source evidence; the supplied open label and unrecoverable-statement designation are retained as curation metadata.

Sources

• Local UnsolvedMath registry, data/unsolvedmath/problems.json, with supplementary registry catalog/problems.json: permanent ID 30005047, exact source problem code catalogue entry, title "Unspecified Hypergeometric Positivity Problem," in the supplied Oberwolfach Reports Open Problems collection. The complete supplied source record is the evidence used for this draft.
• Supplied source citation: The Laguerre-Pólya Class and Combinatorics (2023), Oberwolfach Reports, DOI 10.4171/owr/2022/13, pp. 657--681. Supplied source URL and literature-source link, labeled "Oberwolfach report": https://doi.org/10.4171/owr/2022/13. The background describes these reports as documenting mathematical workshops and their open-problem discussions. An authoritative report reference is supplied, but no precise problem statement or citation to a particular conjecture is supplied.
• Attribution in the supplied contents fragment: Dmitry Karp, p. 676; Bao-Xuan Zhu, p. 677; Olga Holtz, p. 677; Jonathan Leake, p. 678. These are contribution attributions, not established proposers of the unspecified problem. The proposer field is empty; the supplied proposed year and workshop-year tag are 2022, while the source citation displays 2023. Their relationship is not resolved by the record.
• Literature assessment dated exactly 2026-08-22: supplied status open. The supplied assessment states that the exact record is a table-of-contents fragment rather than a complete mathematical assertion, so its triage claim is unclear and is conservatively classified as open. The background lists the report above under sources checked. This assessment and checking claim are supplied dated curation, not independently verified here; time-sensitive status and cited claims require independent verification.