{"paper":{"title":"Complete Monotonicity of the Srivastava-Tomovski Function and Its Laplace-Wright Realization","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.PR","stat.TH"],"primary_cat":"math.ST","authors_text":"Rey R. Cuenca, Ruzzel Ragas, Welfredo R. Patungan","submitted_at":"2026-08-08T15:46:55Z","abstract_excerpt":"For positive parameters, we study complete monotonicity of the negative-axis Srivastava-Tomovski function while keeping its generalized-Wright series separate from a positive-axis Laplace-Wright realization. The series is entire only when $\\Delta=1+\\alpha-\\kappa>0$; in that regime it is completely monotone precisely when $\\alpha\\leq\\kappa$ and $\\kappa\\beta\\geq\\alpha\\gamma$. For $0<\\alpha<\\kappa$, the Laplace-Wright realization extends through the finite-radius and zero-radius phases and obeys the same characterization. Its normalized interior measure is a prior law: with $a=\\alpha/\\kappa$, $\\m"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2608.08198","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2608.08198/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}