{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:C3P2XPLAM6EOWT6HUELPRDSTSK","short_pith_number":"pith:C3P2XPLA","schema_version":"1.0","canonical_sha256":"16dfabbd606788eb4fc7a116f88e5392988140041d50fb92fa44e1b90725c4d6","source":{"kind":"arxiv","id":"1301.5432","version":1},"attestation_state":"computed","paper":{"title":"Integral representations and summations of modified Struve function","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CA","authors_text":"\\'Arp\\'ad Baricz, Tibor K. Pog\\'any","submitted_at":"2013-01-23T08:38:30Z","abstract_excerpt":"It is known that Struve function $\\mathbf H_\\nu$ and modified Struve function $\\mathbf L_\\nu$ are closely connected to Bessel function of the first kind $J_\\nu$ and to modified Bessel function of the first kind $I_\\nu$ and possess representations through higher transcendental functions like generalized hypergeometric ${}_1F_2$ and Meijer $G$ function. Also, the NIST project and Wolfram formula collection contain a set of Kapteyn type series expansions for $\\mathbf L_\\nu(x)$. In this paper firstly, we obtain various another type integral representation formulae for $\\mathbf L_\\nu(x)$ using the "},"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":"1301.5432","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2013-01-23T08:38:30Z","cross_cats_sorted":[],"title_canon_sha256":"f1c4b8bd996ae73c289a0aec2fffbf08771e143c5897539caeca7d9595dccaba","abstract_canon_sha256":"6b95f5ca871b1d5b45c6203de5baee517680ca629f2e7ce416aa86dab6778d0f"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:01:35.963436Z","signature_b64":"TFW9jOqpPOaYpo9xYpvMg3/3YJTXlBqLz9cGulQzNjJqtYHek5f+nw2L4U9pa99IyW1SxvdqOOvpx1lGeP1BAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"16dfabbd606788eb4fc7a116f88e5392988140041d50fb92fa44e1b90725c4d6","last_reissued_at":"2026-05-18T03:01:35.962770Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:01:35.962770Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Integral representations and summations of modified Struve function","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CA","authors_text":"\\'Arp\\'ad Baricz, Tibor K. Pog\\'any","submitted_at":"2013-01-23T08:38:30Z","abstract_excerpt":"It is known that Struve function $\\mathbf H_\\nu$ and modified Struve function $\\mathbf L_\\nu$ are closely connected to Bessel function of the first kind $J_\\nu$ and to modified Bessel function of the first kind $I_\\nu$ and possess representations through higher transcendental functions like generalized hypergeometric ${}_1F_2$ and Meijer $G$ function. Also, the NIST project and Wolfram formula collection contain a set of Kapteyn type series expansions for $\\mathbf L_\\nu(x)$. In this paper firstly, we obtain various another type integral representation formulae for $\\mathbf L_\\nu(x)$ using the "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1301.5432","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1301.5432","created_at":"2026-05-18T03:01:35.962882+00:00"},{"alias_kind":"arxiv_version","alias_value":"1301.5432v1","created_at":"2026-05-18T03:01:35.962882+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1301.5432","created_at":"2026-05-18T03:01:35.962882+00:00"},{"alias_kind":"pith_short_12","alias_value":"C3P2XPLAM6EO","created_at":"2026-05-18T12:27:40.988391+00:00"},{"alias_kind":"pith_short_16","alias_value":"C3P2XPLAM6EOWT6H","created_at":"2026-05-18T12:27:40.988391+00:00"},{"alias_kind":"pith_short_8","alias_value":"C3P2XPLA","created_at":"2026-05-18T12:27:40.988391+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/C3P2XPLAM6EOWT6HUELPRDSTSK","json":"https://pith.science/pith/C3P2XPLAM6EOWT6HUELPRDSTSK.json","graph_json":"https://pith.science/api/pith-number/C3P2XPLAM6EOWT6HUELPRDSTSK/graph.json","events_json":"https://pith.science/api/pith-number/C3P2XPLAM6EOWT6HUELPRDSTSK/events.json","paper":"https://pith.science/paper/C3P2XPLA"},"agent_actions":{"view_html":"https://pith.science/pith/C3P2XPLAM6EOWT6HUELPRDSTSK","download_json":"https://pith.science/pith/C3P2XPLAM6EOWT6HUELPRDSTSK.json","view_paper":"https://pith.science/paper/C3P2XPLA","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1301.5432&json=true","fetch_graph":"https://pith.science/api/pith-number/C3P2XPLAM6EOWT6HUELPRDSTSK/graph.json","fetch_events":"https://pith.science/api/pith-number/C3P2XPLAM6EOWT6HUELPRDSTSK/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/C3P2XPLAM6EOWT6HUELPRDSTSK/action/timestamp_anchor","attest_storage":"https://pith.science/pith/C3P2XPLAM6EOWT6HUELPRDSTSK/action/storage_attestation","attest_author":"https://pith.science/pith/C3P2XPLAM6EOWT6HUELPRDSTSK/action/author_attestation","sign_citation":"https://pith.science/pith/C3P2XPLAM6EOWT6HUELPRDSTSK/action/citation_signature","submit_replication":"https://pith.science/pith/C3P2XPLAM6EOWT6HUELPRDSTSK/action/replication_record"}},"created_at":"2026-05-18T03:01:35.962882+00:00","updated_at":"2026-05-18T03:01:35.962882+00:00"}