{"paper":{"title":"Logarithmic coefficients for certain subclasses of close-to-convex functions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CV","authors_text":"A. Vasudevarao, U. Pranav Kumar","submitted_at":"2016-07-07T00:25:21Z","abstract_excerpt":"Let $\\mathcal{S}$ denote the class of functions analytic and univalent (i.e. one-to-one) in the unit disk $\\mathbb{D}=\\{z\\in\\mathbb{C}:\\, |z|<1\\}$ normalized by $f(0)=0=f'(0)-1$. The logarithmic coefficients $\\gamma_n$ of $f\\in\\mathcal{S}$ are defined by $\\log \\frac{f(z)}{z}= 2\\sum_{n=1}^{\\infty} \\gamma_n z^n.$ In the present paper, we determine the sharp upper bounds for $|\\gamma_1|$, $|\\gamma_2|$ and $|\\gamma_3|$ when $f$ belongs to some familiar subclasses of close-to-convex functions."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1607.01843","kind":"arxiv","version":2},"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"}