{"paper":{"title":"Subclasses of meromorphically multivalent functions defined by a differential operator","license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","headline":"","cross_cats":[],"primary_cat":"math.CV","authors_text":"Dorina Raducanu, Erhan Deniz, Halit Orhan","submitted_at":"2010-08-27T11:27:46Z","abstract_excerpt":"In this paper we introduce and study two new subclasses \\Sigma_{\\lambda\\mu\nmp}(\\alpha,\\beta)$ and $\\Sigma^{+}_{\\lambda\\mu mp}(\\alpha,\\beta)$ of meromorphically multivalent functions which are defined by means of a new\ndifferential operator. Some results connected to subordination properties, coefficient estimates, convolution properties, integral representation, distortion theorems are obtained. We also extend the familiar concept of $% \n(n,\\delta)-$neighborhoods of analytic functions to these subclasses of meromorphically multivalent functions."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1008.4691","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"}