{"paper":{"title":"A Novel Subclass of Analytic Functions Specified by a Family of Fractional Derivatives in the Complex Domain","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CV","authors_text":"Adem Kilicman, H. M. Srivastava, Rabha W. Ibrahim, Zainab Esa","submitted_at":"2015-11-05T02:39:52Z","abstract_excerpt":"In this paper, by making use of a certain family of fractional derivative operators in the complex domain, we introduce and investigate a new subclass $\\mathcal{P}_{\\tau,\\mu}(k,\\delta,\\gamma)$ of analytic and univalent functions in the open unit disk $\\mathbb{U}$. In particular, for functions in the class $\\mathcal{P}_{\\tau,\\mu}(k,\\delta,\\gamma)$, we derive sufficient coefficient inequalities, distortion theorems involving the above-mentioned fractional derivative operators, and the radii of starlikeness and convexity. In addition, some applications of functions in the class $\\mathcal{P}_{\\tau"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1511.01581","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"}