{"paper":{"title":"Sharp Coefficient Estimates for the Exponential Starlike class $\\mathcal{S}_{ex}^{\\ast}$","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"math.CV","authors_text":"Nabadwip Sarkar, Pradip Das","submitted_at":"2026-06-08T21:24:41Z","abstract_excerpt":"In this paper, we investigate several coefficient problems for the subclass $\\mathcal{S}_{ex}^{\\ast}$ of normalized analytic starlike functions defined by the subordination condition $\\frac{zf'(z)}{f(z)} \\prec e^{\\alpha z}$ ($0 < \\alpha \\le 1$). We first obtain sharp upper bounds for the initial inverse logarithmic coefficients $\\Gamma_1, \\Gamma_2$, and $\\Gamma_3$. We then establish sharp upper and lower bounds for the consecutive difference $|\\Gamma_2| - |\\Gamma_1|$ and determine the sharp bounds for the second-order inverse logarithmic Hankel determinant $H_{2,1}(F_{f^{-1}}/2)$. Furthermore,"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.10186","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/2606.10186/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"}