{"paper":{"title":"Logarithmic coefficients problems in families related to starlike and convex functions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CV","authors_text":"K.-J. Wirths, N. L. Sharma, S. Ponnusamy","submitted_at":"2018-11-03T12:59:51Z","abstract_excerpt":"Let $\\es$ be the family of analytic and univalent functions $f$ in the unit disk $\\D$ with the normalization $f(0)=f'(0)-1=0$, and let $\\gamma_n(f)=\\gamma_n$ denote the logarithmic coefficients of $f\\in {\\es}$. In this paper, we study bounds for the logarithmic coefficients for certain subfamilies of univalent functions. Also, we consider the families $\\F(c)$ and $\\G(\\delta)$ of functions $f\\in {\\es}$ defined by $$ {\\rm Re} \\left ( 1+\\frac{zf''(z)}{f'(z)}\\right )>1-\\frac{c}{2}\\, \\mbox{ and } \\, {\\rm Re} \\left ( 1+\\frac{zf''(z)}{f'(z)}\\right )<1+\\frac{\\delta}{2},\\quad z\\in \\D $$ for some $c\\in("},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1811.01203","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"}