{"id":"W2039214402","doi":"10.1007/s10444-004-1838-0","title":"On the finite sum representations of the Lauricella functions FD","year":2005,"lang":"en","type":"article","venue":"Advances in Computational Mathematics","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":6,"is_retracted":false,"has_abstract":false,"ca_institutions":"St. Francis Xavier University","funders":"","keywords":"Mathematics; Integer (computer science); Function (biology); Combinatorics; Rational function; Discrete mathematics; Pure 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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00024781,0.0001337926,0.0001969239,0.00006997331,0.0001862145,0.00002021488,0.0002764955,0.0000411568,0.0001093064],"category_scores_gemma":[0.001000304,0.00007764966,0.0001105687,0.0004477334,0.0001348635,0.0001444959,0.0000650393,0.0001706815,0.00003633189],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00006299095,"about_ca_system_score_gemma":0.00003483116,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000003944428,"about_ca_topic_score_gemma":0.00009520647,"domain_scores_codex":[0.998547,0.00009460701,0.0006058775,0.0001640238,0.0004393329,0.0001491359],"domain_scores_gemma":[0.9913207,0.007821401,0.000339236,0.0003650145,0.0001265835,0.00002701445],"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":[0.00000373248,0.0002455826,0.0001371581,0.00004171982,0.000009951271,1.360339e-7,0.0002776257,0.2953485,0.000009137022,0.7027299,0.0001635053,0.001033048],"study_design_scores_gemma":[0.0002056577,0.00001570091,0.0002914262,0.0001140398,0.00001472475,0.000002174543,0.0002862337,0.2062555,0.00003102656,0.7917776,0.0009260944,0.0000798769],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.06845414,0.0001616274,0.9151174,0.002184568,0.0002468471,0.0007196364,0.00005466376,0.00004915124,0.01301201],"genre_scores_gemma":[0.9380177,0.00001476052,0.06064567,0.0001216602,0.00006861636,0.00007525051,0.000009566838,0.00001844359,0.001028361],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.8695635,"threshold_uncertainty_score":0.3166461,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03123095920115458,"score_gpt":0.3274799267828634,"score_spread":0.2962489675817088,"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."}}