{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2003:JYUEOSTZCHMUGEPVGSEHTXFNHA","short_pith_number":"pith:JYUEOSTZ","schema_version":"1.0","canonical_sha256":"4e28474a7911d94311f5348879dcad3830996212d05b2b378c66c06774e419f6","source":{"kind":"arxiv","id":"math/0303093","version":1},"attestation_state":"computed","paper":{"title":"Multiple Wilson and Jacobi-Pineiro polynomials","license":"","headline":"","cross_cats":[],"primary_cat":"math.CA","authors_text":"B. Beckermann, J. Coussement, W. Van Assche","submitted_at":"2003-03-07T16:18:55Z","abstract_excerpt":"We introduce multiple Wilson polynomials, which give a new example of multiple orthogonal polynomials (Hermite-Pade polynomials) of type II. These polynomials can be written as a Jacobi-Pineiro transform, which is a generalization of the Jacobi transform for Wilson polynomials, found by T.H. Koornwinder. Here we need to introduce Jacobi and Jacobi-Pineiro polynomials with complex parameters. Some explicit formulas are provided for both Jacobi-Pineiro and multiple Wilson polynomials, one of them in terms of Kampe de Feriet series. Finally we look at some limiting relations and construct a part "},"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":"math/0303093","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"math.CA","submitted_at":"2003-03-07T16:18:55Z","cross_cats_sorted":[],"title_canon_sha256":"32c83e0f092433901072bcd5aa30cb4686446e8c6a24e3531d55d53bb2c9e8b2","abstract_canon_sha256":"dfcd9d8de39091ab1b6252adea126db7742e62c80477fe7678f24864babf7fe9"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:11:24.543747Z","signature_b64":"xnawlUfTY0igJ7QEGZeJd5JJVCl7w66W3UaHSm0m6i5vsHZ1Hbvq6HM0VS4MOiCPztES5bFrqgVW5ugLPB5VCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4e28474a7911d94311f5348879dcad3830996212d05b2b378c66c06774e419f6","last_reissued_at":"2026-05-18T03:11:24.543098Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:11:24.543098Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Multiple Wilson and Jacobi-Pineiro polynomials","license":"","headline":"","cross_cats":[],"primary_cat":"math.CA","authors_text":"B. Beckermann, J. Coussement, W. Van Assche","submitted_at":"2003-03-07T16:18:55Z","abstract_excerpt":"We introduce multiple Wilson polynomials, which give a new example of multiple orthogonal polynomials (Hermite-Pade polynomials) of type II. These polynomials can be written as a Jacobi-Pineiro transform, which is a generalization of the Jacobi transform for Wilson polynomials, found by T.H. Koornwinder. Here we need to introduce Jacobi and Jacobi-Pineiro polynomials with complex parameters. Some explicit formulas are provided for both Jacobi-Pineiro and multiple Wilson polynomials, one of them in terms of Kampe de Feriet series. Finally we look at some limiting relations and construct a part "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0303093","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"math/0303093","created_at":"2026-05-18T03:11:24.543206+00:00"},{"alias_kind":"arxiv_version","alias_value":"math/0303093v1","created_at":"2026-05-18T03:11:24.543206+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0303093","created_at":"2026-05-18T03:11:24.543206+00:00"},{"alias_kind":"pith_short_12","alias_value":"JYUEOSTZCHMU","created_at":"2026-05-18T12:25:52.051335+00:00"},{"alias_kind":"pith_short_16","alias_value":"JYUEOSTZCHMUGEPV","created_at":"2026-05-18T12:25:52.051335+00:00"},{"alias_kind":"pith_short_8","alias_value":"JYUEOSTZ","created_at":"2026-05-18T12:25:52.051335+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/JYUEOSTZCHMUGEPVGSEHTXFNHA","json":"https://pith.science/pith/JYUEOSTZCHMUGEPVGSEHTXFNHA.json","graph_json":"https://pith.science/api/pith-number/JYUEOSTZCHMUGEPVGSEHTXFNHA/graph.json","events_json":"https://pith.science/api/pith-number/JYUEOSTZCHMUGEPVGSEHTXFNHA/events.json","paper":"https://pith.science/paper/JYUEOSTZ"},"agent_actions":{"view_html":"https://pith.science/pith/JYUEOSTZCHMUGEPVGSEHTXFNHA","download_json":"https://pith.science/pith/JYUEOSTZCHMUGEPVGSEHTXFNHA.json","view_paper":"https://pith.science/paper/JYUEOSTZ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=math/0303093&json=true","fetch_graph":"https://pith.science/api/pith-number/JYUEOSTZCHMUGEPVGSEHTXFNHA/graph.json","fetch_events":"https://pith.science/api/pith-number/JYUEOSTZCHMUGEPVGSEHTXFNHA/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/JYUEOSTZCHMUGEPVGSEHTXFNHA/action/timestamp_anchor","attest_storage":"https://pith.science/pith/JYUEOSTZCHMUGEPVGSEHTXFNHA/action/storage_attestation","attest_author":"https://pith.science/pith/JYUEOSTZCHMUGEPVGSEHTXFNHA/action/author_attestation","sign_citation":"https://pith.science/pith/JYUEOSTZCHMUGEPVGSEHTXFNHA/action/citation_signature","submit_replication":"https://pith.science/pith/JYUEOSTZCHMUGEPVGSEHTXFNHA/action/replication_record"}},"created_at":"2026-05-18T03:11:24.543206+00:00","updated_at":"2026-05-18T03:11:24.543206+00:00"}