{"paper":{"title":"Asymptotics of a ${}_3F_2$ hypergeometric function with four large parameters","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CA","authors_text":"R B Paris","submitted_at":"2018-10-02T09:29:21Z","abstract_excerpt":"We consider the asymptotic behaviour of the generalised hypergeometric function \\[{}_3F_2\\bl(\\!\\!\\begin{array}{c} 1, (1+t)k/2, (1+t)k/2+1/2\\\\tk+1, k+1\\end{array}\\!\\!; x\\br),\\qquad 0<x,t\\leq 1\\] as the parameter $k\\to+\\infty$. Numerical results illustrating the accuracy of the resulting expansion are given."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1810.01134","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"}