{"paper":{"title":"Further results for starlike functions related with Booth lemniscate","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CV","authors_text":"A. Ebadian, L. Trojnar-Spelina, R. Kargar","submitted_at":"2018-02-11T19:32:32Z","abstract_excerpt":"In this paper we investigate an interesting subclass $\\mathcal{BS}(\\alpha)$ ($0\\leq \\alpha<1$) of starlike functions in the unit disk $\\Delta$. The class $\\mathcal{BS}(\\alpha)$ was introduced by Kargar et al. [R. Kargar, A. Ebadian and J. Sok\\'o{\\l}, {\\it On Booth lemniscate and starlike functions}, Anal. Math. Phys. (2017) DOI: 10.1007/s13324-017-0187-3] which is strongly related to the Booth lemniscate. Some geometric properties of this class of analytic functions including, radius of starlikeness of order $\\gamma$ ($0\\leq\\gamma<1$), the image of $f(\\{z:|z|<r\\})$ when $f\\in \\mathcal{BS}(\\alp"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1802.03799","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":""},"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"}