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Let U and V be two moment regular linear functionals and let (P_n)_n and Q_n)_n be their corresponding orthogonal polynomial sequences (OPS). We discuss an inverse problem in the theory of discrete orthogonal polynomials involving the above two OPS assuming that their difference derivatives $D_\\nu$ of higher orders m and k (resp.) are connected by a linear algebraic structure relation such as $$ \\sum_{i=0}^M a_{i,n} D_\\nu^"},"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":"1402.0773","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2014-02-04T15:44:24Z","cross_cats_sorted":[],"title_canon_sha256":"3d798e670c5135e179908694b2b25fb24cf06f2f5bdc522a45811d3c19ce6a61","abstract_canon_sha256":"06c32f27440430e9586ca4db560c851c8a4d0b34a57dd4394f586dcb7e033ad3"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:48:36.949004Z","signature_b64":"my0KSP2b7sfZ6ydHwJI71o6khGFM/UtF4GIZ2Ds60X4o/a5uAaCd3kbGixybqpyBER23u9O+yszHaq638JNfDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6c58f4e9c58cd37389f6730a46d2f4854993c7ef03ed99a0a54bb65a8ae8a94e","last_reissued_at":"2026-05-18T02:48:36.948552Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:48:36.948552Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On linearly related sequences of difference derivatives of discrete orthogonal polynomials","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CA","authors_text":"J. Petronilho, N. C. Pinzon-Cortes, R. Alvarez-Nodarse, R. Sevinik-Adiguzel","submitted_at":"2014-02-04T15:44:24Z","abstract_excerpt":"Let D_v the difference operator and q-difference operators defined by D_\\omega p(x) = \\frac{p(x+\\omega)-p(x)}{\\omega} and D_q p(x) = \\frac{p(qx)-p(x)}{(q-1)x}, respectively. Let U and V be two moment regular linear functionals and let (P_n)_n and Q_n)_n be their corresponding orthogonal polynomial sequences (OPS). We discuss an inverse problem in the theory of discrete orthogonal polynomials involving the above two OPS assuming that their difference derivatives $D_\\nu$ of higher orders m and k (resp.) are connected by a linear algebraic structure relation such as $$ \\sum_{i=0}^M a_{i,n} D_\\nu^"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1402.0773","kind":"arxiv","version":2},"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":"1402.0773","created_at":"2026-05-18T02:48:36.948617+00:00"},{"alias_kind":"arxiv_version","alias_value":"1402.0773v2","created_at":"2026-05-18T02:48:36.948617+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1402.0773","created_at":"2026-05-18T02:48:36.948617+00:00"},{"alias_kind":"pith_short_12","alias_value":"NRMPJ2OFRTJX","created_at":"2026-05-18T12:28:41.024544+00:00"},{"alias_kind":"pith_short_16","alias_value":"NRMPJ2OFRTJXHCPW","created_at":"2026-05-18T12:28:41.024544+00:00"},{"alias_kind":"pith_short_8","alias_value":"NRMPJ2OF","created_at":"2026-05-18T12:28:41.024544+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/NRMPJ2OFRTJXHCPWOMFENUXUQV","json":"https://pith.science/pith/NRMPJ2OFRTJXHCPWOMFENUXUQV.json","graph_json":"https://pith.science/api/pith-number/NRMPJ2OFRTJXHCPWOMFENUXUQV/graph.json","events_json":"https://pith.science/api/pith-number/NRMPJ2OFRTJXHCPWOMFENUXUQV/events.json","paper":"https://pith.science/paper/NRMPJ2OF"},"agent_actions":{"view_html":"https://pith.science/pith/NRMPJ2OFRTJXHCPWOMFENUXUQV","download_json":"https://pith.science/pith/NRMPJ2OFRTJXHCPWOMFENUXUQV.json","view_paper":"https://pith.science/paper/NRMPJ2OF","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1402.0773&json=true","fetch_graph":"https://pith.science/api/pith-number/NRMPJ2OFRTJXHCPWOMFENUXUQV/graph.json","fetch_events":"https://pith.science/api/pith-number/NRMPJ2OFRTJXHCPWOMFENUXUQV/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/NRMPJ2OFRTJXHCPWOMFENUXUQV/action/timestamp_anchor","attest_storage":"https://pith.science/pith/NRMPJ2OFRTJXHCPWOMFENUXUQV/action/storage_attestation","attest_author":"https://pith.science/pith/NRMPJ2OFRTJXHCPWOMFENUXUQV/action/author_attestation","sign_citation":"https://pith.science/pith/NRMPJ2OFRTJXHCPWOMFENUXUQV/action/citation_signature","submit_replication":"https://pith.science/pith/NRMPJ2OFRTJXHCPWOMFENUXUQV/action/replication_record"}},"created_at":"2026-05-18T02:48:36.948617+00:00","updated_at":"2026-05-18T02:48:36.948617+00:00"}