{"paper":{"title":"Hankel determinant for a class of analytic functions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CV","authors_text":"Milutin Obradovic, Nikola Tuneski","submitted_at":"2019-03-19T08:01:54Z","abstract_excerpt":"Let $f$ be analutic in the unit disk $\\mathbb D$ and normalized so that $f(z)=z+a_2z^2+a_3z^3+\\cdots$. In this paper we give sharp bound of Hankel determinant of the second order for the class of analytic unctions satisfying \\[ \\left|\\arg \\left[\\left(\\frac{z}{f(z)}\\right)^{1+\\alpha}f'(z) \\right] \\right|<\\gamma\\frac{\\pi}{2} \\quad\\quad (z\\in\\mathbb D),\\] for $0<\\alpha<1$ and $0<\\gamma\\leq1$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1903.07872","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"}