{"paper":{"title":"Radius of starlikeness of $\\mathcal{S}\\ast \\mathcal {S}t(\\alpha)$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CV","authors_text":"Bappaditya Bhowmik, Souvik Biswas","submitted_at":"2026-06-18T18:49:37Z","abstract_excerpt":"Let $\\mathcal{S}$ be the set of all analytic univalent functions $f$ defined in the open unit disc $\\mathbb{D}$, with $f(0)=0=f'(0)-1$. For $\\alpha\\in[0,1)$, let $\\mathcal{S}t(\\alpha)$ be the set of all starlike functions of order $\\alpha$ in $\\mathcal{S}$. In this article, by applying duality technique we obtain the radius of a disc that is mapped onto a starlike domain with respect to the origin by the functions in the set $\\mathcal{S}\\ast \\mathcal {S}t(\\alpha):=\\{f\\ast g :f\\in\\mathcal{S},~g\\in\\mathcal{S}t(\\alpha)\\}$. Here, `$\\ast$' denotes the convolution (or Hadamard product) of two analyt"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.20861","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/2606.20861/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"}