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Dur\\'an, Manuel D. de la Iglesia","submitted_at":"2014-07-28T20:58:20Z","abstract_excerpt":"Given a sequence of polynomials $(p_n)_n$, an algebra of operators $\\mathcal A$ acting in the linear space of polynomials and an operator $D_p\\in \\mathcal A$ with $D_p(p_n)=\\theta_np_n$, where $\\theta_n$ is any arbitrary eigenvalue, we construct a new sequence of polynomials $(q_n)_n$ by considering a linear combination of $m+1$ consecutive $p_n$: $q_n=p_n+\\sum_{j=1}^m\\beta_{n,j}p_{n-j}$. Using the concept of $\\mathcal{D}$-operator, we determine the structure of the sequences $\\beta_{n,j}, j=1,\\ldots,m,$ in order that the polynomials $(q_n)_n$ are eigenfunctions of an operator in the algebra $"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1407.7569","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2014-07-28T20:58:20Z","cross_cats_sorted":[],"title_canon_sha256":"6265cd4de6fa71cdd21e2fd9550bbcd38d22b822ef937dd9a7c656534348eb01","abstract_canon_sha256":"91a3dd44b8254cf3323adac915516fd4a0e8a4f66cc9fb43eb84f422a696aed1"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:46:22.305110Z","signature_b64":"Uz01hBsMo3O/n8B0tKI5HcrtZ2jOdPzmBmI/qT66j1gdAzjEuhfBjXl/g+KO/CtRuMncJyrPUowDpWgBOdt2Dw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e97f862b70c3016b41e0ab78a342da5473704775c6ee2e19076cd257415b043a","last_reissued_at":"2026-05-18T02:46:22.304738Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:46:22.304738Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Constructing Krall-Hahn orthogonal polynomials","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CA","authors_text":"Antonio J. 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