{"id":"W3047742611","doi":"10.3390/math8081323","title":"On the Finite Orthogonality of q-Pseudo-Jacobi Polynomials","year":2020,"lang":"en","type":"article","venue":"Mathematics","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; Alexander von Humboldt-Stiftung","keywords":"Orthogonality; Mathematics; Orthogonal polynomials; Classical orthogonal polynomials; Jacobi polynomials; Discrete orthogonal polynomials; Square (algebra); Norm (philosophy); Wilson polynomials; Gegenbauer polynomials; Pure mathematics; Difference polynomials; Mathematical analysis; Algebra over a field; Geometry","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":[0.001794111,0.0007119658,0.0005271098,0.00168865,0.0009300591,0.001697063,0.0009791921,0.0005904253,0.003031447],"category_scores_gemma":[0.005337876,0.0002594126,0.0007215773,0.0007732121,0.00457206,0.002580877,0.002103302,0.001759586,0.0005548412],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000729833,"about_ca_system_score_gemma":0.0007005258,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001066527,"about_ca_topic_score_gemma":0.0006981355,"domain_scores_codex":[0.9991918,0.0002687438,0.00003294497,0.000113437,0.0002621153,0.0001308921],"domain_scores_gemma":[0.9976446,0.001200121,0.0002232663,0.0001742189,0.0004742961,0.0002835197],"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":[0.00001276148,0.00001206296,0.0001352214,0.00002517478,0.000003586713,0.00004604406,0.0001065195,0.0009416271,0.00163088,0.9943613,0.0001990112,0.002525737],"study_design_scores_gemma":[0.000008530086,0.00003228679,0.0002703937,0.00001656279,0.000003948007,0.0001096991,0.0000490823,0.02155622,0.001733034,0.975184,0.001016397,0.00001976198],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"methods","genre_scores_codex":[0.4991774,0.001139297,0.441363,0.001236142,0.0004778053,0.00004256922,0.000127447,0.0001386701,0.05629782],"genre_scores_gemma":[0.9593816,0.0007330751,0.03020412,0.0002975191,0.0003236881,0.00004334816,0.00009476492,0.00008720934,0.008834697],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.003031447,"threshold_uncertainty_score":0.01014113,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03265885968744967,"score_gpt":0.2522321627108593,"score_spread":0.2195733030234096,"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."}}