{"paper":{"title":"Asymptotic behaviour of the Bessel heat kernels","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Kamil Bogus","submitted_at":"2017-09-18T07:39:24Z","abstract_excerpt":"We consider Dirichlet heat kernel $p_a^{(\\mu)}(t,x,y)$ for the Bessel differential operator $L^{(\\mu)}=\\frac{d^2}{dx^2}+\\frac{2\\mu+1}{2x}$, $\\mu\\in\\mathbb{R}$, in half-line $(a,\\infty)$, $a>0$, and provide its asymptotic expansions for $xy/t\\rightarrow\\infty$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1709.05796","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"}