bibkey: bojicicpetkovicbarry2025hankel authors: Radica Bojičić; M. D. Petković; Paul Barry year: 2025 title: “Hankel transform of linear combination of three consecutive Catalan numbers” doi: 10.15672/hujms.1564485 claim: “Theorems 3.1 and 5.1 give Hankel-transform formulas for specified linear combinations of three consecutive Catalan numbers; their parameter families do not instantiate the literal A331473 moments.” strata_touched:
- D5/S3/Constants/Moments/A331474HankelBridge
- D5/S3/Constants/Moments/A331474HankelGeneratingFunction license: citation-only triage: anchor
Hankel transforms of three consecutive Catalan numbers
Bojičić, Petković, and Barry study Hankel transforms of linear combinations of three consecutive Catalan numbers. The paper appeared in volume 54 of the Hacettepe Journal of Mathematics and Statistics, pages 1470-1478.
Relevance boundary
The paper is relevant source-family prior art, not a proof of A331474. Applying the parameter constraints in Theorems 3.1 and 5.1 to match the first two literal A331473 moments makes the corresponding formulas predict a third moment of 9 or 10. The literal A331473 formula gives 12. Hence neither theorem instantiates to the source used by the repository proof.
The repository proof still uses classical ingredients represented in that literature family, including Catalan generating functions, continuants, orthogonality, Gram determinants, and Hankel transforms. Those ingredients remain literature-attributed; only the source-specific synthesis and final resolution are described as repo-derived.
Verified locator
- DOI: 10.15672/hujms.1564485
- Title: Hankel transform of linear combination of three consecutive Catalan numbers
- Journal: Hacettepe Journal of Mathematics and Statistics
- Volume and pages: 54, 1470-1478
- Publication date: 2025-08-29
The DOI landing page and Crossref metadata were refreshed on 2026-09-24. The theorem comparison is deliberately bounded to this source family and does not establish a worldwide priority or absence claim.