{"paper":{"title":"Certain subclasses of multivalent functions defined by new multiplier transformations","license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","headline":"","cross_cats":[],"primary_cat":"math.CV","authors_text":"Erhan Deniz, Halit Orhan","submitted_at":"2010-08-27T12:35:17Z","abstract_excerpt":"In the present paper the new multiplier transformations $\\mathrm{{\\mathcal{J}% \n}}_{p}^{\\delta }(\\lambda ,\\mu ,l)$ $(\\delta ,l\\geq 0,\\;\\lambda \\geq \\mu \\geq \n0;\\;p\\in \\mathrm{% }%\\mathbb{N} \n)}$ of multivalent functions is defined. Making use of the operator $\\mathrm{% \n{\\mathcal{J}}}_{p}^{\\delta }(\\lambda ,\\mu ,l),$ two new subclasses $\\mathcal{% \nP}_{\\lambda ,\\mu ,l}^{\\delta }(A,B;\\sigma ,p)$ and $\\widetilde{\\mathcal{P}}% \n_{\\lambda ,\\mu ,l}^{\\delta }(A,B;\\sigma ,p)$\\textbf{\\ }of multivalent analytic functions are introduced and investigated in the open unit disk. Some interesting relations "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1008.4702","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"}