{"paper":{"title":"Buschman-Erdelyi transmutations, classification and applications","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CA","authors_text":"Sergei M. Sitnik","submitted_at":"2013-04-08T06:41:20Z","abstract_excerpt":"This survey paper contains brief historical information, main known facts and original author's results on the theory of transmutations and some applications. Operators of Buschman-Erdelyi type were first studied by E.T.Copson, R.G.Buschman and A.Erdelyi as integral operators. In 1990's the author was first to prove transmutational nature of these operators and published papers with detailed study of their properties. This class include as special cases such famous objects as Sonine-Poisson-Delsarte transmutations and fractional Riemann-Lioville integrals. In this paper Buschman-Erdelyi transm"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1304.2114","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"}