{"paper":{"title":"Inequalities for the polar derivative of a polynomial","license":"http://creativecommons.org/licenses/by/3.0/","headline":"","cross_cats":[],"primary_cat":"math.CV","authors_text":"N. A. Rather, Suhail Gulzar","submitted_at":"2013-03-01T02:33:25Z","abstract_excerpt":"Let $ P(z) $ be a polynomial of degree $ n $ and for any real or complex number $\\alpha,$ let $D_\\alpha P(z)=nP(z)+(\\alpha-z)P^{\\prime}(z)$ denote the polar derivative with respect to $\\alpha.$ In this paper, we obtain generalizations of some inequalities for the polar derivative of a polynomial."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1303.0068","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"}