{ "id": "1605.00112", "version": "v1", "published": "2016-04-30T13:50:25.000Z", "updated": "2016-04-30T13:50:25.000Z", "title": "Uniqueness Theorems for Subharmonic and Holomorphic Functions", "authors": [ "Bulat Khabibullin", "Nargiza Tamindarova" ], "comment": "9 pages; submitted to Azerbaijan Journal of Mathematics", "categories": [ "math.CV" ], "abstract": "We establish a general uniqueness theorem for subharmonic functions of several variables on a domain. A corollary from this uniqueness theorem for holomorphic functions is formulated in terms of the zero subset of holomorphic functions and restrictions on the growth of functions near the boundary of domain.", "revisions": [ { "version": "v1", "updated": "2016-04-30T13:50:25.000Z" } ], "analyses": { "subjects": [ "32A10", "31B05" ], "keywords": [ "holomorphic functions", "general uniqueness theorem", "zero subset", "subharmonic functions", "restrictions" ], "note": { "typesetting": "TeX", "pages": 9, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2016arXiv160500112K" } } }