{"id":"W3085237204","doi":"10.1186/s13662-020-02963-9","title":"Generating functions for some families of the generalized Al-Salam–Carlitz q-polynomials","year":2020,"lang":"en","type":"article","venue":"Advances in Difference Equations","topic":"Mathematical functions and polynomials","field":"Mathematics","cited_by":9,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Victoria","funders":"","keywords":"Mathematics; Homogeneous; Type (biology); Order (exchange); Combinatorics; Algebra over a field; Pure mathematics; Discrete mathematics","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":[0.001468378,0.0007973422,0.0006097767,0.003054854,0.001693369,0.002404877,0.001256523,0.001278152,0.01397801],"category_scores_gemma":[0.003461666,0.0003885962,0.001171541,0.001366592,0.002492625,0.002559198,0.001351735,0.002175979,0.001666371],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002250995,"about_ca_system_score_gemma":0.001064076,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001372617,"about_ca_topic_score_gemma":0.001001,"domain_scores_codex":[0.9993232,0.0001812046,0.00002117449,0.00008735973,0.000193685,0.0001932481],"domain_scores_gemma":[0.9985614,0.0005594483,0.0001890265,0.0001205276,0.0002901826,0.0002793468],"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":[0.00001157052,0.000008598186,0.00009785535,0.00001609745,0.000002599607,0.00007058245,0.000107813,0.0007261407,0.0002469827,0.9959763,0.0007722628,0.001963394],"study_design_scores_gemma":[0.00002368252,0.00001975577,0.0003296066,0.00002673715,0.000005822983,0.0002853884,0.0001443298,0.02670158,0.0006561777,0.9678448,0.003929465,0.00003258354],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5706409,0.00169116,0.2373985,0.004712192,0.0008834192,0.0001553819,0.0005441622,0.0005435197,0.1834307],"genre_scores_gemma":[0.9487911,0.0006769096,0.0156525,0.0004256714,0.0004507612,0.0001701054,0.0002144255,0.0001627568,0.03345584],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.01397801,"threshold_uncertainty_score":0.0467611,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.07435807561391443,"score_gpt":0.3353025468680516,"score_spread":0.2609444712541371,"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."}}