{"paper":{"title":"Sharp coefficient Estimates for the class $\\mathcal{S}_{\\mathcal{AP}}^{*}$","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"math.CV","authors_text":"Nabadwip Sarkar, Pradip Das","submitted_at":"2026-06-13T21:56:38Z","abstract_excerpt":"We investigate several classic coefficient problems for the Ma--Minda starlike subclass $\\mathcal{S}_{\\mathcal{AP}}^{*}$ defined by the apple-like subordination function $\\psi_{\\mathcal{AP}}(z)=e^{z}\\sqrt{1+z}$. Sharp bounds are derived for the initial inverse logarithmic coefficients $\\Gamma_1$, $\\Gamma_2$, $\\Gamma_3$, and the successive modulus difference $|\\Gamma_2|-|\\Gamma_1|$. In addition, we evaluate the second-order inverse logarithmic Hankel determinant, the generalized Fekete--Szeg\\\"o functional over all real parameter domains, and the third-order Hermitian--Toeplitz determinant. The "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.15488","kind":"arxiv","version":2},"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/2606.15488/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"}