{"paper":{"title":"Relations between the generalized Bessel functions and the Janowski class","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CV","authors_text":"A. D. Mohammed, S. Kanas, S. R. Mondal","submitted_at":"2016-07-07T17:38:00Z","abstract_excerpt":"We are interested in finding the sufficient conditions on $A$, $B$, $\\lambda$, $b$ and $c$ which ensure that the generalized Bessel functions ${u}_{\\lambda}:={u}_{\\lambda,b,c}$ satisfies the subordination ${u}_{\\lambda}(z) \\prec (1+Az)/ (1+Bz)$. Also, conditions for which ${u}_{\\lambda}(z)$ to be Janowski convex, and $z{u}'_{\\lambda}(z)$ to be Janowski starlike in the unit disk $\\mathbb{D}=\\{z \\in \\mathbb{C}: |z|<1\\}$ are obtained."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1607.02100","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"}