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We also compare these polynomials with Jacobi orthonormal polynomials."},"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":"math/9601216","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"math.CA","submitted_at":"1996-01-26T00:00:00Z","cross_cats_sorted":[],"title_canon_sha256":"08f410772f981be85cc3bb8b6cdb141b605245943aadc0d44fde77ac4f6f2a7c","abstract_canon_sha256":"9ca7ea6d6ec15e2c33334f87092710822796ede22374f73a299c2d6c0769c1f4"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:05:47.851857Z","signature_b64":"cV916lZm71rxkqAgZBMb2coUJ3VXKFogvrJWPZ9DImeWbnQ0TElhhsc13OX98YkotgHV9tP+XOCy5AzVB/igAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a5453c9b7705656a22d4ad911c9b177f72a9b3b95ffe933b974672dbee9e6d92","last_reissued_at":"2026-05-18T01:05:47.851199Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:05:47.851199Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Estimates for Jacobi-Sobolev type orthogonal polynomials","license":"","headline":"","cross_cats":[],"primary_cat":"math.CA","authors_text":"Francisco Marcell\\'an, Manual Alfaro","submitted_at":"1996-01-26T00:00:00Z","abstract_excerpt":"Let the Sobolev-type inner product <f,g> = \\int fg d mu_0+ int f' g' d mu_1 with mu_0 = w + M delta_c, mu_1= N delta_c where w is the Jacobi weight, c is either 1 or -1 and M, N >= 0. 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