{"id":"W4390850466","doi":"","title":"Extended Prudnikov generating function involving Euler's polynomial","year":2023,"lang":"en","type":"preprint","venue":"HAL (Le Centre pour la Communication Scientifique Directe)","topic":"Mathematical functions and polynomials","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"York University","funders":"","keywords":"Euler's formula; Mathematics; Polynomial; Function (biology); Pure mathematics; Applied mathematics; Mathematical analysis; Biology","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":[0.000786131,0.0005173387,0.0006903638,0.002304276,0.0005845265,0.001599559,0.0009675859,0.0005636474,0.004116443],"category_scores_gemma":[0.001967143,0.0001870686,0.0007193938,0.0009855392,0.001356282,0.002263103,0.0007946145,0.00120326,0.0007685672],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001033308,"about_ca_system_score_gemma":0.0008276067,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0007625616,"about_ca_topic_score_gemma":0.0005470953,"domain_scores_codex":[0.9997453,0.00006697916,0.000009883159,0.000045283,0.00007628018,0.00005630258],"domain_scores_gemma":[0.9993652,0.000228875,0.00008117034,0.00008006692,0.0001569244,0.00008793246],"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":[0.000009117172,0.000008638084,0.0003360663,0.00003631972,0.000003901927,0.00009068684,0.00009642036,0.003353536,0.00150194,0.9900682,0.0003538507,0.004141495],"study_design_scores_gemma":[0.000008017165,0.00002595437,0.0007712389,0.00002687731,0.00000883656,0.0004047517,0.000050819,0.07779427,0.001838403,0.9146139,0.004432442,0.00002449958],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.4223097,0.002146933,0.4946381,0.0007459898,0.0004537138,0.00004484268,0.0002648388,0.0002887649,0.07910722],"genre_scores_gemma":[0.9555249,0.001129441,0.01962962,0.00009272654,0.0003431378,0.00004997554,0.0001797126,0.0001178982,0.02293265],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.004116443,"threshold_uncertainty_score":0.01377088,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04960361592765235,"score_gpt":0.2764188539247066,"score_spread":0.2268152379970542,"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."}}