{"paper":{"title":"Bounds for modified Struve functions of the first kind and their ratios","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CA","authors_text":"Robert E. Gaunt","submitted_at":"2018-03-20T21:07:05Z","abstract_excerpt":"We obtain a simple two-sided inequality for the ratio $\\mathbf{L}_\\nu(x)/\\mathbf{L}_{\\nu-1}(x)$ in terms of the ratio $I_\\nu(x)/I_{\\nu-1}(x)$, where $\\mathbf{L}_\\nu(x)$ is the modified Struve function of the first kind and $I_\\nu(x)$ is the modified Bessel function of the first kind. This result allows one to use the extensive literature on bounds for $I_\\nu(x)/I_{\\nu-1}(x)$ to immediately deduce bounds for $\\mathbf{L}_\\nu(x)/\\mathbf{L}_{\\nu-1}(x)$. We note some consequences and obtain further bounds for $\\mathbf{L}_\\nu(x)/\\mathbf{L}_{\\nu-1}(x)$ by adapting techniques used to bound the ratio $"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1803.07657","kind":"arxiv","version":2},"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"}