{ "id": "2012.02887", "version": "v1", "published": "2020-12-04T23:01:28.000Z", "updated": "2020-12-04T23:01:28.000Z", "title": "Integral formula for the Bessel function of the first kind", "authors": [ "Enrico De Micheli" ], "comment": "7 pages", "categories": [ "math.CA", "math-ph", "math.MP" ], "abstract": "In this paper, we prove a new integral representation for the Bessel function of the first kind $J_\\mu(z)$, which holds for any $\\mu,z\\in\\mathbb{C}$.", "revisions": [ { "version": "v1", "updated": "2020-12-04T23:01:28.000Z" } ], "analyses": { "subjects": [ "33C10", "40C10", "33B20" ], "keywords": [ "bessel function", "first kind", "integral formula" ], "note": { "typesetting": "TeX", "pages": 7, "language": "en", "license": "arXiv", "status": "editable" } } }