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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 $"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1803.07657","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2018-03-20T21:07:05Z","cross_cats_sorted":[],"title_canon_sha256":"52c0005c653e3e7106f8a19b24931bf584626100c4dbc3fefa637ae6cc71b002","abstract_canon_sha256":"cfc957fe8b373ee9bc414db69b011fdf5077c9de219e4388eb3c90ba41ff29cb"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:06:50.799608Z","signature_b64":"7LIgQcv0TSSxfhNmxPHsqIO/NZ3sHCJOunvD8YGhueFAXrJsioxI3T8gR+WrpD3n5SoQDxBkrKo2B26+nRfzAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d2c66c949ea8592be0495ee79c6cb281dbaf3524d68b843a7d1ff28e23b9359e","last_reissued_at":"2026-05-18T00:06:50.798952Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:06:50.798952Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"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 $\\mathbf{L}_\\nu(x)/\\mathbf{L}_{\\nu-1}(x)$. 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