{"id":"W3192703224","doi":"10.1155/2021/8814756","title":"The Mellin Transform of Logarithmic and Rational Quotient Function in terms of the Lerch Function","year":2021,"lang":"en","type":"article","venue":"Journal of Mathematics","topic":"Differential Equations and Boundary Problems","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"York University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Logarithm; Quotient; Function (biology); Mellin transform; Pure mathematics; Logarithmic derivative; Algebra over a field; Mathematical analysis; Laplace transform","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":[0.001168682,0.001228566,0.0006984819,0.002501028,0.001056967,0.003206517,0.0009547376,0.001144845,0.01349597],"category_scores_gemma":[0.003405286,0.0003381663,0.0009584926,0.00108691,0.003620679,0.006438233,0.001300565,0.003618211,0.004819847],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001712527,"about_ca_system_score_gemma":0.0005246678,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00126964,"about_ca_topic_score_gemma":0.000792478,"domain_scores_codex":[0.9995441,0.0001179926,0.00002309175,0.00007503893,0.000175823,0.00006388131],"domain_scores_gemma":[0.9995394,0.0001848924,0.00004608303,0.00006507276,0.0001038793,0.00006068145],"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":[0.00001041664,0.000006017242,0.00004812253,0.00002778862,0.000002785797,0.00007089601,0.0001592186,0.0003535263,0.0007145689,0.9908828,0.002199271,0.005524531],"study_design_scores_gemma":[0.000005472486,0.00001410211,0.0002216468,0.00003384156,0.000004674187,0.0002121744,0.0000841318,0.006496634,0.001038257,0.9733139,0.0185545,0.00002062179],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.06851064,0.009039522,0.4985543,0.00728386,0.002833348,0.00007946385,0.0003963036,0.001464231,0.4118383],"genre_scores_gemma":[0.6831943,0.007766592,0.1249024,0.002519933,0.003156936,0.0001817593,0.0004512648,0.002232745,0.175594],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.01349597,"threshold_uncertainty_score":0.04514855,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03722147091147491,"score_gpt":0.2684549707829179,"score_spread":0.231233499871443,"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."}}