{"id":"W2029223455","doi":"10.1016/j.aml.2005.03.009","title":"Some decomposition formulas associated with the Lauricella function <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" altimg=\"si1.gif\" display=\"inline\" overflow=\"scroll\"><mml:msubsup><mml:mrow><mml:mi>F</mml:mi></mml:mrow><mml:mrow><mml:mi>A</mml:mi></mml:mrow><mml:mrow><mml:mrow><mml:mo>(</mml:mo><mml:mi>r</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:mrow></mml:msubsup></mml:math> and other multiple hypergeometric functions","year":2005,"lang":"lv","type":"article","venue":"Applied Mathematics Letters","topic":"Mathematical functions and polynomials","field":"Mathematics","cited_by":62,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Victoria","funders":"","keywords":"Mathematics; Hypergeometric function; Decomposition; Function (biology); Generalized hypergeometric function; Inverse; Pure mathematics; Applied mathematics; Mathematical analysis; Geometry","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":[0.001134281,0.001102978,0.0005831715,0.003034567,0.001294061,0.002928365,0.001097497,0.0008464181,0.01953584],"category_scores_gemma":[0.004005744,0.0003755583,0.001098429,0.002620386,0.001327884,0.00340317,0.001206134,0.002469997,0.005972696],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001664388,"about_ca_system_score_gemma":0.0007186455,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001407657,"about_ca_topic_score_gemma":0.001920828,"domain_scores_codex":[0.9995096,0.0001446958,0.00003368247,0.00006455791,0.0001471419,0.0001003571],"domain_scores_gemma":[0.9989982,0.0003736767,0.0001177091,0.0001008882,0.0003095886,0.00009997547],"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":[0.00002075307,0.00001449229,0.0001745831,0.00004208267,0.000006040508,0.0001522819,0.0001618633,0.0006339144,0.0004240549,0.9735574,0.007853513,0.016959],"study_design_scores_gemma":[0.000009231885,0.00001200009,0.0002412757,0.0000375881,0.000009908902,0.0002722338,0.0001139145,0.008486506,0.0009346501,0.9773855,0.01247491,0.00002225666],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1258165,0.004280647,0.5681956,0.004658207,0.001551709,0.0001433803,0.001428052,0.0008121575,0.2931139],"genre_scores_gemma":[0.6814733,0.00355044,0.1864279,0.001215581,0.001110985,0.0002829405,0.001608233,0.001027575,0.123303],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.01953584,"threshold_uncertainty_score":0.06535387,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01748558997434695,"score_gpt":0.2329890364185441,"score_spread":0.2155034464441972,"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."}}