{"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":"codex-gemma-dda1882f352a","candidate_categories":["metaresearch","metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.008295171,0.0005483694,0.0007292373,0.0003284169,0.0006793512,0.0006812082,0.0009464864,0.0005631558,0.0006903158],"category_scores_gemma":[0.009556936,0.0005606023,0.0004249611,0.000432113,0.0001700944,0.0001628989,0.001635613,0.001018295,0.000242212],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001994244,"about_ca_system_score_gemma":0.0003445827,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0007746679,"about_ca_topic_score_gemma":0.001286247,"domain_scores_codex":[0.99259,0.004036283,0.001178061,0.001007328,0.0006132104,0.0005751363],"domain_scores_gemma":[0.9887299,0.006154892,0.000871902,0.002522272,0.001455083,0.0002659698],"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":[0.00007160397,0.001866954,0.0004696508,0.002587267,0.0007941065,0.00001987364,0.01389094,0.0001989618,0.01639091,0.7870432,0.1240598,0.05260674],"study_design_scores_gemma":[0.002872804,0.000005366314,0.002343936,0.01297317,0.001140099,0.0000550393,0.001243792,0.2107951,0.05797793,0.662123,0.04452033,0.0039494],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.2089475,0.001235926,0.7102092,0.009948514,0.00374934,0.002004722,0.0002309998,0.002602798,0.06107099],"genre_scores_gemma":[0.4577543,0.0006271455,0.4304985,0.0002950773,0.0009296924,0.0008050061,0.001105357,0.0005281318,0.1074568],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.2797107,"threshold_uncertainty_score":0.9996846,"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."}}