{"paper":{"title":"Radii of convexity of integral operators","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CV","authors_text":"A. Ebadian, P. Najmadi, Sh. Najafzadeh","submitted_at":"2018-04-11T08:30:21Z","abstract_excerpt":"The object of the present paper is to study of radius of convexity two certain integral operators as follows \\begin{equation*}\n  F(z):=\\int_{0}^{z}\\prod_{i=1}^{n}\\left(f'_i(t)\\right)^{\\gamma_i}{\\rm d}t \\end{equation*} and \\begin{equation*}\n  J(z):=\\int_{0}^{z}\\prod_{i=1}^{n}\\left(f'_i(t)\\right)^{\\gamma_i}\\prod_{j=1}^{m}\n  \\left(\\frac{g_j(z)}{z}\\right)^{\\lambda_j}{\\rm d}t, \\end{equation*} where $\\gamma_i, \\lambda_i\\in\\mathbb{C}$, $f_i$ $(1\\leq i\\leq n)$ and $g_j$ $(1\\leq j\\leq m)$ belong to the certain subclass of analytic functions."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1804.03868","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"}