{ "id": "2211.06422", "version": "v1", "published": "2022-08-26T13:58:17.000Z", "updated": "2022-08-26T13:58:17.000Z", "title": "Integral operator on certain subclass of analytic function with negative coefficients", "authors": [ "G. M. Birajdar", "N. D. Sangle" ], "comment": "12 Pages", "categories": [ "math.CV" ], "abstract": "In this paper, we study subclass of analytic function with negative coefficient defined by integral operator in the unit disc $U = \\left\\{ {z \\in C:\\left| z \\right| < 1} \\right\\}$. The results are included coefficient estimates, closure theorem and distortion theorems of functions belonging to this subclass. Also, we presented detailed study of uniformly convex and uniformly starlike functions.", "revisions": [ { "version": "v1", "updated": "2022-08-26T13:58:17.000Z" } ], "analyses": { "subjects": [ "30C45", "30C50" ], "keywords": [ "analytic function", "integral operator", "negative coefficient", "study subclass", "unit disc" ], "note": { "typesetting": "TeX", "pages": 12, "language": "en", "license": "arXiv", "status": "editable" } } }