{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:ZGTVPAVKVQWTGV6GI4MCTYVOFX","short_pith_number":"pith:ZGTVPAVK","schema_version":"1.0","canonical_sha256":"c9a75782aaac2d3357c6471829e2ae2dd214db3ffc81f68981d804ed2a8c599a","source":{"kind":"arxiv","id":"1403.8080","version":1},"attestation_state":"computed","paper":{"title":"New families of q and (q;p)-Hermite polynomials","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.QA"],"primary_cat":"math.CA","authors_text":"Mahouton Norbert Hounkonnou, Sama Arjika, Won Sang Chung","submitted_at":"2014-03-27T14:21:44Z","abstract_excerpt":"In this paper, we construct a new family of q-Hermite polynomials denoted by Hn(x,s|q). Main properties and relations are established and proved. In addition, is deduced a sequence of novel polynomials, Ln(. ,.|q), which appear to be connected with well known (q,n)-exponential functions E{q,n}(.), introduced by Ernst in his work entitled: (A New Method for q-calculus, Uppsala Dissertations in Mathematics, Vol. 25, 2002). Relevant results spread in the literature are retrieved as particular cases. Fourier integral transforms are explicitly computed and discussed. A (q;p)-extension of the Hn(x,s"},"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":"1403.8080","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2014-03-27T14:21:44Z","cross_cats_sorted":["math.QA"],"title_canon_sha256":"f3e71eb8c4bfd810bddf1790cc7918d5cd725931e381a977ffa91e816d756871","abstract_canon_sha256":"bd37f2668557ea9a94d4e176992774050cece75dc2648ae1f7d11dda5241694e"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:55:11.875149Z","signature_b64":"T8d1lelytK68Lo2oLZL+S55pPzbyVp1+A9IqfGCDF28X0dvcnmwQM5Huv74Qhkz1lh/ZPQlSrM78QLORAASLCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c9a75782aaac2d3357c6471829e2ae2dd214db3ffc81f68981d804ed2a8c599a","last_reissued_at":"2026-05-18T02:55:11.874685Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:55:11.874685Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"New families of q and (q;p)-Hermite polynomials","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.QA"],"primary_cat":"math.CA","authors_text":"Mahouton Norbert Hounkonnou, Sama Arjika, Won Sang Chung","submitted_at":"2014-03-27T14:21:44Z","abstract_excerpt":"In this paper, we construct a new family of q-Hermite polynomials denoted by Hn(x,s|q). Main properties and relations are established and proved. In addition, is deduced a sequence of novel polynomials, Ln(. ,.|q), which appear to be connected with well known (q,n)-exponential functions E{q,n}(.), introduced by Ernst in his work entitled: (A New Method for q-calculus, Uppsala Dissertations in Mathematics, Vol. 25, 2002). Relevant results spread in the literature are retrieved as particular cases. Fourier integral transforms are explicitly computed and discussed. A (q;p)-extension of the Hn(x,s"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1403.8080","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":"1403.8080","created_at":"2026-05-18T02:55:11.874758+00:00"},{"alias_kind":"arxiv_version","alias_value":"1403.8080v1","created_at":"2026-05-18T02:55:11.874758+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1403.8080","created_at":"2026-05-18T02:55:11.874758+00:00"},{"alias_kind":"pith_short_12","alias_value":"ZGTVPAVKVQWT","created_at":"2026-05-18T12:28:59.999130+00:00"},{"alias_kind":"pith_short_16","alias_value":"ZGTVPAVKVQWTGV6G","created_at":"2026-05-18T12:28:59.999130+00:00"},{"alias_kind":"pith_short_8","alias_value":"ZGTVPAVK","created_at":"2026-05-18T12:28:59.999130+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/ZGTVPAVKVQWTGV6GI4MCTYVOFX","json":"https://pith.science/pith/ZGTVPAVKVQWTGV6GI4MCTYVOFX.json","graph_json":"https://pith.science/api/pith-number/ZGTVPAVKVQWTGV6GI4MCTYVOFX/graph.json","events_json":"https://pith.science/api/pith-number/ZGTVPAVKVQWTGV6GI4MCTYVOFX/events.json","paper":"https://pith.science/paper/ZGTVPAVK"},"agent_actions":{"view_html":"https://pith.science/pith/ZGTVPAVKVQWTGV6GI4MCTYVOFX","download_json":"https://pith.science/pith/ZGTVPAVKVQWTGV6GI4MCTYVOFX.json","view_paper":"https://pith.science/paper/ZGTVPAVK","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1403.8080&json=true","fetch_graph":"https://pith.science/api/pith-number/ZGTVPAVKVQWTGV6GI4MCTYVOFX/graph.json","fetch_events":"https://pith.science/api/pith-number/ZGTVPAVKVQWTGV6GI4MCTYVOFX/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/ZGTVPAVKVQWTGV6GI4MCTYVOFX/action/timestamp_anchor","attest_storage":"https://pith.science/pith/ZGTVPAVKVQWTGV6GI4MCTYVOFX/action/storage_attestation","attest_author":"https://pith.science/pith/ZGTVPAVKVQWTGV6GI4MCTYVOFX/action/author_attestation","sign_citation":"https://pith.science/pith/ZGTVPAVKVQWTGV6GI4MCTYVOFX/action/citation_signature","submit_replication":"https://pith.science/pith/ZGTVPAVKVQWTGV6GI4MCTYVOFX/action/replication_record"}},"created_at":"2026-05-18T02:55:11.874758+00:00","updated_at":"2026-05-18T02:55:11.874758+00:00"}