{"id":"W3195614928","doi":"10.3390/math9161952","title":"Infinite Sum of the Incomplete Gamma Function Expressed in Terms of the Hurwitz Zeta Function","year":2021,"lang":"en","type":"article","venue":"Mathematics","topic":"Mathematical functions and polynomials","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"ca_institutions":"York University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Gamma function; Incomplete gamma function; Digamma function; Mathematics; Riemann zeta function; Series (stratigraphy); Function (biology); Polylogarithm; Mathematical analysis; Methods of contour integration; Pure mathematics; Arithmetic zeta function; Prime zeta function","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":[0.001477796,0.001297652,0.0009268881,0.003629706,0.0008939289,0.002298182,0.001805327,0.0007731197,0.005038862],"category_scores_gemma":[0.005186858,0.0004181632,0.001077516,0.00128783,0.002083189,0.005477872,0.002002164,0.00226698,0.001669042],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001032148,"about_ca_system_score_gemma":0.0007550886,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0004467932,"about_ca_topic_score_gemma":0.0008371981,"domain_scores_codex":[0.9992546,0.0001738914,0.00004955318,0.0001012751,0.0003546718,0.00006594586],"domain_scores_gemma":[0.9989141,0.0003701808,0.00009022705,0.0001740309,0.0003091171,0.0001422953],"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":[0.00001046219,0.0000150411,0.0001934176,0.00006987672,0.00001555342,0.0002054396,0.0001724513,0.003739971,0.002204183,0.9835956,0.001144354,0.008633735],"study_design_scores_gemma":[0.000007369166,0.00001538414,0.0002291178,0.00005723069,0.00002384211,0.0003873635,0.00004524298,0.08348718,0.002892006,0.9042461,0.008579235,0.00002986668],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.05761097,0.001734792,0.8688192,0.0007301368,0.0009097416,0.00003296319,0.00009483749,0.0002896083,0.06977778],"genre_scores_gemma":[0.6377889,0.004407255,0.2796517,0.0009868356,0.001511284,0.0001794255,0.0004017371,0.001193043,0.07387987],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.005038862,"threshold_uncertainty_score":0.01685667,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.05039912401615536,"score_gpt":0.2712493202146365,"score_spread":0.2208501961984812,"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."}}