{"id":"W2058102338","doi":"10.1016/j.amc.2012.10.062","title":"Linearization of the products of the Carlitz–Srivastava polynomials of the first and second kinds via their integral representations","year":2012,"lang":"en","type":"article","venue":"Applied Mathematics and Computation","topic":"Mathematical functions and polynomials","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Victoria","funders":"","keywords":"Mathematics; Difference polynomials; Wilson polynomials; Hypergeometric function; Classical orthogonal polynomials; Discrete orthogonal polynomials; Hahn polynomials; Orthogonal polynomials; Jacobi polynomials; Algebra over a field; Pure mathematics; Product (mathematics); Linearization; Gegenbauer polynomials; Macdonald polynomials; Koornwinder polynomials; Lauricella hypergeometric series; Generalized hypergeometric function; Hypergeometric function of a matrix argument; Nonlinear system","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":[0.0006735387,0.0007513074,0.0006356876,0.001995571,0.001032593,0.002305319,0.0008685932,0.0007118593,0.008318547],"category_scores_gemma":[0.002012463,0.0004350964,0.0009597866,0.0008544612,0.002546428,0.003097767,0.001794026,0.002590862,0.002078655],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00124586,"about_ca_system_score_gemma":0.0008966433,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001171983,"about_ca_topic_score_gemma":0.001062289,"domain_scores_codex":[0.999504,0.0001088321,0.00001799176,0.00006877191,0.0001752669,0.0001251781],"domain_scores_gemma":[0.9993716,0.0001386654,0.0001299301,0.00008335445,0.0001373272,0.0001390858],"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":[0.00003074666,0.00001560039,0.0000994124,0.00003003419,0.000009520131,0.00008162489,0.0002498253,0.001453578,0.002027961,0.9891979,0.0008089913,0.005994863],"study_design_scores_gemma":[0.00001716076,0.00005688292,0.0005392546,0.00002678805,0.00001464949,0.0003743704,0.0002429924,0.01908896,0.002980294,0.9704326,0.006170583,0.00005536291],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.4311767,0.002131234,0.3232818,0.001763104,0.0005193343,0.00007633985,0.0002966964,0.0006736059,0.2400811],"genre_scores_gemma":[0.9273078,0.001311221,0.02297912,0.0003288748,0.0004709351,0.00005716356,0.000216406,0.0003236859,0.04700484],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.008318547,"threshold_uncertainty_score":0.02782828,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03031078914334941,"score_gpt":0.2638805990602772,"score_spread":0.2335698099169278,"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."}}