{"paper":{"title":"Generalized q-Morgan Voyce Polynomials","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GM","authors_text":"Bahad{\\i}r Y{\\i}lmaz, Yuksel Soykan","submitted_at":"2026-07-11T05:23:36Z","abstract_excerpt":"This study introduces and investigates generalized q-Morgan-Voyce polynomials and their specific cases, including the first and second kinds of q-Morgan-Voyce polynomials, q-Horadam-Morgan-Voyce polynomials, and Fibonacci-type q-Morgan-Voyce polynomials. The generalized q-Morgan-Voyce polynomials are defined by the recurrence relation featuring the specific q-power q^{n-2} and a negative sign, formulated as M_{n}(x,q) = (x+1+q)M_{n-1}(x,q) - q^{n-2}M_{n-2}(x,q) for n >= 2. The generating functions and explicit expressions for these polynomials are established by utilizing the Fibonacci operato"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.11934","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2607.11934/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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"}