{"paper":{"title":"On functions K and E generated by a sequence of moments","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CA"],"primary_cat":"math.CV","authors_text":"Avner Kiro, Mikhail Sodin","submitted_at":"2016-08-25T13:51:52Z","abstract_excerpt":"We study the asymptotic behaviour of the entire function \\[ E(z) = \\sum_{n\\ge 0} \\frac{z^n}{\\gamma (n+1)} \\] and the analytic function \\[ K(z) = \\frac1{2\\pi {\\rm i}}\\, \\int_{c-{\\rm i}\\infty}^{c+{\\rm i}\\infty} z^{-s}\\gamma (s)\\, {\\rm d}s\\,, \\] which naturally appear in various classical problems of analysis."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1608.07147","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"}