{"paper":{"title":"Starlikeness Associated With The Exponential Function","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CV","authors_text":"Adiba Naz, Sumit Nagpal, V. Ravichandran","submitted_at":"2019-02-07T04:49:01Z","abstract_excerpt":"Given a domain $\\Omega$ in the complex plane $\\mathbb{C}$ and a univalent function $q$ defined in an open unit disk $\\mathbb{D}$ with nice boundary behaviour, Miller and Mocanu studied the class of admissible functions $\\Psi(\\Omega,q)$ so that the differential subordination $\\psi(p(z),zp(z),z^2p''(z);z)\\prec h(z)$ implies $p(z)\\prec q(z)$ where $p$ is an analytic function in $\\mathbb{D}$ with $p(0)=1$, $\\psi:\\mathbb{C}^3\\times \\mathbb{D}\\to\\mathbb{C}$ and $\\Omega=h(\\mathbb{D})$. This paper investigates the properties of this class for $q(z)=e^z$. As application, several sufficient conditions f"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1902.02473","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"}