{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:FTHV4IVINHU6D3LR76HKASCN6T","short_pith_number":"pith:FTHV4IVI","schema_version":"1.0","canonical_sha256":"2ccf5e22a869e9e1ed71ff8ea0484df4de71ef65540dda2faacf83b42b9472e1","source":{"kind":"arxiv","id":"1710.10839","version":1},"attestation_state":"computed","paper":{"title":"Integral representations and asymptotic behaviour of a Mittag-Leffler type function of two variables","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CA","math.FA"],"primary_cat":"math.CV","authors_text":"Christian Lavault (LIPN)","submitted_at":"2017-10-30T10:00:52Z","abstract_excerpt":"Integral representations play a prominent role in the analysis of entire functions. The representations of generalized Mittag-Leffler type functions and their asymptotics have been (and still are) investigated by plenty of authors in various conditions and cases.The present paper explores the integral representations of a special function extending to two variables the two-parametric Mittag-Leffler type function. Integral representations of this functions within different variation ranges of its arguments for certain values of the parameters are thus obtained. Asymptotic expansion formulas and"},"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":"1710.10839","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2017-10-30T10:00:52Z","cross_cats_sorted":["math.CA","math.FA"],"title_canon_sha256":"36afabf29424925b318a31bc00bf80c928be118b8e87b173bf54e3930edb4f5e","abstract_canon_sha256":"4e2e0db698a7fd62646d024366362bce562d76ca001f121db59aca1a017bc7b2"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:31:46.341853Z","signature_b64":"tvpTQd/NjNtWfc8ap0DKu+PokzPHNS+e3HHxDXxIo0wQN5M3VG7TjGApyq5Df35q0rQMawevAUhV12ONzSQ8DQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2ccf5e22a869e9e1ed71ff8ea0484df4de71ef65540dda2faacf83b42b9472e1","last_reissued_at":"2026-05-18T00:31:46.341070Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:31:46.341070Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Integral representations and asymptotic behaviour of a Mittag-Leffler type function of two variables","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CA","math.FA"],"primary_cat":"math.CV","authors_text":"Christian Lavault (LIPN)","submitted_at":"2017-10-30T10:00:52Z","abstract_excerpt":"Integral representations play a prominent role in the analysis of entire functions. The representations of generalized Mittag-Leffler type functions and their asymptotics have been (and still are) investigated by plenty of authors in various conditions and cases.The present paper explores the integral representations of a special function extending to two variables the two-parametric Mittag-Leffler type function. Integral representations of this functions within different variation ranges of its arguments for certain values of the parameters are thus obtained. Asymptotic expansion formulas and"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1710.10839","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":"1710.10839","created_at":"2026-05-18T00:31:46.341201+00:00"},{"alias_kind":"arxiv_version","alias_value":"1710.10839v1","created_at":"2026-05-18T00:31:46.341201+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1710.10839","created_at":"2026-05-18T00:31:46.341201+00:00"},{"alias_kind":"pith_short_12","alias_value":"FTHV4IVINHU6","created_at":"2026-05-18T12:31:15.632608+00:00"},{"alias_kind":"pith_short_16","alias_value":"FTHV4IVINHU6D3LR","created_at":"2026-05-18T12:31:15.632608+00:00"},{"alias_kind":"pith_short_8","alias_value":"FTHV4IVI","created_at":"2026-05-18T12:31:15.632608+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/FTHV4IVINHU6D3LR76HKASCN6T","json":"https://pith.science/pith/FTHV4IVINHU6D3LR76HKASCN6T.json","graph_json":"https://pith.science/api/pith-number/FTHV4IVINHU6D3LR76HKASCN6T/graph.json","events_json":"https://pith.science/api/pith-number/FTHV4IVINHU6D3LR76HKASCN6T/events.json","paper":"https://pith.science/paper/FTHV4IVI"},"agent_actions":{"view_html":"https://pith.science/pith/FTHV4IVINHU6D3LR76HKASCN6T","download_json":"https://pith.science/pith/FTHV4IVINHU6D3LR76HKASCN6T.json","view_paper":"https://pith.science/paper/FTHV4IVI","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1710.10839&json=true","fetch_graph":"https://pith.science/api/pith-number/FTHV4IVINHU6D3LR76HKASCN6T/graph.json","fetch_events":"https://pith.science/api/pith-number/FTHV4IVINHU6D3LR76HKASCN6T/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/FTHV4IVINHU6D3LR76HKASCN6T/action/timestamp_anchor","attest_storage":"https://pith.science/pith/FTHV4IVINHU6D3LR76HKASCN6T/action/storage_attestation","attest_author":"https://pith.science/pith/FTHV4IVINHU6D3LR76HKASCN6T/action/author_attestation","sign_citation":"https://pith.science/pith/FTHV4IVINHU6D3LR76HKASCN6T/action/citation_signature","submit_replication":"https://pith.science/pith/FTHV4IVINHU6D3LR76HKASCN6T/action/replication_record"}},"created_at":"2026-05-18T00:31:46.341201+00:00","updated_at":"2026-05-18T00:31:46.341201+00:00"}