{"work":{"id":"8242fceb-fbcd-49c2-b7c6-45c251635db1","openalex_id":null,"doi":null,"arxiv_id":"1011.1669","raw_key":null,"title":"A \"missing\" family of classical orthogonal polynomials","authors":null,"authors_text":"A","year":2010,"venue":"math.CA","abstract":"We study a family of \"classical\" orthogonal polynomials which satisfy (apart from a 3-term recurrence relation) an eigenvalue problem with a differential operator of Dunkl-type. These polynomials can be obtained from the little $q$-Jacobi polynomials in the limit $q=-1$. We also show that these polynomials provide a nontrivial realization of the Askey-Wilson algebra for $q=-1$.","external_url":"https://arxiv.org/abs/1011.1669","cited_by_count":null,"metadata_source":"pith","metadata_fetched_at":"2026-05-25T18:11:07.743103+00:00","pith_arxiv_id":"1011.1669","created_at":"2026-05-11T14:31:06.777711+00:00","updated_at":"2026-05-25T18:11:07.743103+00:00","title_quality_ok":true,"display_title":"Abragam and B","render_title":"Abragam and B"},"hub":{"state":{"work_id":"8242fceb-fbcd-49c2-b7c6-45c251635db1","tier":"hub","tier_reason":"10+ Pith inbound or 1,000+ external citations","pith_inbound_count":12,"external_cited_by_count":null,"distinct_field_count":11,"first_pith_cited_at":"2019-06-22T16:16:22+00:00","last_pith_cited_at":"2026-05-18T11:19:46+00:00","author_build_status":"not_needed","summary_status":"needed","contexts_status":"needed","graph_status":"needed","ask_index_status":"not_needed","reader_status":"not_needed","recognition_status":"not_needed","updated_at":"2026-06-02T18:54:59.606527+00:00","tier_text":"hub"},"tier":"hub","role_counts":[{"context_role":"background","n":1}],"polarity_counts":[{"context_polarity":"unclear","n":1}],"runs":{},"summary":{},"graph":{},"authors":[]}}