{"paper":{"title":"Ladder operators for Szeg\\H{o} polynomials and related biorthogonal rational functions","license":"","headline":"","cross_cats":[],"primary_cat":"math.CA","authors_text":"Mizan Rahman, Mourad E. H. Ismail","submitted_at":"1994-06-30T00:00:00Z","abstract_excerpt":"We find the raising and lowering operators for orthogonal polynomials on the unit circle introduced by Szeg\\H{o} and for their four parameter generalization to ${}_4\\phi_3$ biorthogonal rational functions on the unit circle."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/9406227","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"}