{"id":"W4293229249","doi":"10.14311/ap.2022.62.0165","title":"On generalized Heun equation with some mathematical properties","year":2022,"lang":"en","type":"article","venue":"Acta Polytechnica","topic":"Quantum Mechanics and Non-Hermitian Physics","field":"Physics and Astronomy","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Prince Edward Island","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Polynomial; Orthogonal polynomials; Recurrence relation; Factorization; Pure mathematics; Differential equation; Property (philosophy); Algebra over a field; Simple (philosophy); Applied mathematics; Mathematical analysis; Algorithm","routes":{"ca_aff":true,"ca_fund":true,"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":[0.0005722315,0.0005526188,0.0004760038,0.0008957369,0.0007206852,0.0008225533,0.0005422974,0.0008712598,0.002377359],"category_scores_gemma":[0.001738215,0.0002042869,0.0004933632,0.0006852755,0.001249904,0.001936691,0.0008875728,0.0008907689,0.0002660648],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0006246608,"about_ca_system_score_gemma":0.000555547,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001564772,"about_ca_topic_score_gemma":0.0009878126,"domain_scores_codex":[0.9997593,0.00008120336,0.000009297345,0.00003173537,0.00006772797,0.00005082813],"domain_scores_gemma":[0.999723,0.00007928243,0.00005851007,0.00002177543,0.00007431732,0.0000430471],"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":[0.00002451604,0.00001864513,0.0002535417,0.00005021545,0.000008290208,0.0001794449,0.0001783164,0.009633265,0.002612873,0.9826179,0.000535347,0.003887661],"study_design_scores_gemma":[0.00003457719,0.00007812701,0.0005182492,0.00003031699,0.00000890785,0.0003465506,0.000156321,0.243973,0.001381969,0.750008,0.003431184,0.00003286305],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"methods","genre_scores_codex":[0.6563334,0.003529598,0.2828385,0.001991363,0.0003979442,0.00007576615,0.000158172,0.0001007673,0.05457434],"genre_scores_gemma":[0.9545344,0.0011435,0.02786491,0.000257889,0.0002509161,0.00006211604,0.0001109374,0.00004072038,0.0157347],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.002377359,"threshold_uncertainty_score":0.007953048,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02164440418722191,"score_gpt":0.2303603212721184,"score_spread":0.2087159170848965,"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."}}