{"id":"W45853563","doi":"10.1007/978-0-387-48807-3_53","title":"The Bessel Functions J n (x) of Integer Order","year":2008,"lang":"en","type":"book-chapter","venue":"","topic":"Advanced Mathematical Identities","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":false,"ca_institutions":"Trent University","funders":"","keywords":"Bessel function; Integer (computer science); Order (exchange); Half-integer; Mathematics; Combinatorics; Bessel polynomials; Struve function; Discrete mathematics; Computer science; Physics; Mathematical analysis; Quantum mechanics; Gegenbauer polynomials; Programming language; Business","routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":false},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003979188,0.0008813261,0.0005342744,0.001444313,0.0008392576,0.002641825,0.000715304,0.0008180431,0.01038403],"category_scores_gemma":[0.0009979636,0.0003681538,0.0002863347,0.001378421,0.002144777,0.003627672,0.0007845924,0.003318599,0.006205461],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001468052,"about_ca_system_score_gemma":0.0008887593,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0009049549,"about_ca_topic_score_gemma":0.001188405,"domain_scores_codex":[0.9997913,0.00003461524,0.00001147044,0.00002875781,0.0001121471,0.00002175672],"domain_scores_gemma":[0.9997773,0.00007704496,0.00001554302,0.00004301759,0.0000698748,0.00001733281],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.000004787982,0.000006407193,0.00001645444,0.00003943848,0.000001003205,0.00002036794,0.0001358524,0.0001548086,0.0003448832,0.9675124,0.01376015,0.01800341],"study_design_scores_gemma":[0.000003889279,0.000008756439,0.0001442068,0.00006433547,0.000003375869,0.0002520092,0.00007283049,0.001088865,0.000665338,0.6306875,0.3669961,0.00001278546],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"methods","genre_scores_codex":[0.005271007,0.01345206,0.03423079,0.002022106,0.00286188,0.00002249821,0.0001173831,0.0002077311,0.9418146],"genre_scores_gemma":[0.07272851,0.01947032,0.02834499,0.001092955,0.002461279,0.00007229162,0.0002076836,0.0004409409,0.8751811],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.01038403,"threshold_uncertainty_score":0.034738,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.06346505182538321,"score_gpt":0.3009335701356948,"score_spread":0.2374685183103116,"validation_status":"score_only:v0-immature-baseline","note":"Baseline scores from an immature model (maturity gate not passed). Scores rank; they never assert a category."}}