{"id":"W3206134081","doi":"10.3390/sym13111983","title":"A Double Logarithmic Transform Involving the Exponential and Polynomial Functions Expressed in Terms of the Hurwitz–Lerch Zeta Function","year":2021,"lang":"en","type":"article","venue":"Symmetry","topic":"Mathematical functions and polynomials","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"ca_institutions":"York University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Logarithm; Bernoulli polynomials; Pure mathematics; Exponential function; Logarithmic derivative; Riemann zeta function; Mathematical analysis","routes":{"ca_aff":true,"ca_fund":true,"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":[0.0005626265,0.0008143178,0.0005385738,0.002007906,0.0006893927,0.00152219,0.0007941835,0.0006840253,0.004256777],"category_scores_gemma":[0.001476518,0.0002189317,0.0008381311,0.0007784331,0.00181244,0.002501659,0.001380735,0.001794484,0.001216416],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0007441971,"about_ca_system_score_gemma":0.000601667,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0003948213,"about_ca_topic_score_gemma":0.0003546344,"domain_scores_codex":[0.99978,0.00004016826,0.00001177588,0.00003775136,0.00009209208,0.00003817408],"domain_scores_gemma":[0.9996923,0.00007589447,0.00004308899,0.00004183152,0.00007720006,0.00006956582],"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":[0.00001870779,0.00001937142,0.0001741188,0.00004466034,0.000005594201,0.0002934767,0.0001372285,0.001723701,0.00475689,0.9848229,0.0007093371,0.007293971],"study_design_scores_gemma":[0.00001612343,0.00004179819,0.0004176227,0.000041536,0.00001379361,0.0009297095,0.0001286585,0.04140839,0.004736874,0.9460636,0.00617675,0.00002498422],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.2324134,0.001708365,0.6488234,0.001343024,0.001030752,0.00005615301,0.0001108134,0.0002884587,0.1142256],"genre_scores_gemma":[0.9159972,0.001306716,0.0453294,0.0004441106,0.0008640232,0.0000397736,0.0001236232,0.0002635173,0.0356317],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.004256777,"threshold_uncertainty_score":0.01424038,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.0373644474678019,"score_gpt":0.2778058270873776,"score_spread":0.2404413796195757,"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."}}