{"paper":{"title":"Some inequalities for a certain subclass of starlike functions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CV","authors_text":"H. Mahzoon, N. Kanzi, R. Kargar","submitted_at":"2018-04-17T18:55:35Z","abstract_excerpt":"In 2011, Sok\\'{o}{\\l} (Comput. Math. Appl. 62, 611--619) introduced and studied the class $\\mathcal{SK}(\\alpha)$ as a certain subclass of starlike functions, consists of all functions $f$ ($f(0)=0=f'(0)-1$) which satisfy in the following subordination relation: \\begin{equation*} \\frac{zf'(z)}{f(z)}\\prec \\frac{3}{3+(\\alpha-3)z-\\alpha z^2} \\qquad |z|<1, \\end{equation*} where $-3<\\alpha\\leq1$. Also, he obtained some interesting results for the class $\\mathcal{SK}(\\alpha)$. In this paper, some another properties of this class, including infimum of $\\mathfrak{Re}\\frac{f(z)}{z}$, order of strongly s"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1804.06435","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"}