{"paper":{"title":"Inequalities for integrals of the modified Struve function of the first kind II","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CA","authors_text":"Robert E. Gaunt","submitted_at":"2018-10-09T16:24:38Z","abstract_excerpt":"Simple inequalities are established for integrals of the type $\\int_0^x \\mathrm{e}^{-\\gamma t} t^{-\\nu} \\mathbf{L}_\\nu(t)\\,\\mathrm{d}t$, where $x>0$, $0\\leq\\gamma<1$, $\\nu>-\\frac{3}{2}$ and $\\mathbf{L}_{\\nu}(x)$ is the modified Struve function of the first kind. In most cases, these inequalities are tight in certain limits. As a consequence we deduce a tight double inequality, involving the modified Struve function $\\mathbf{L}_{\\nu}(x)$, for a generalized hypergeometric function."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1810.04568","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"}