{ "id": "1006.0178", "version": "v2", "published": "2010-06-01T16:42:04.000Z", "updated": "2010-06-18T15:23:11.000Z", "title": "Asymptotic expansion of a function defined by power series", "authors": [ "Mihail Nikitin" ], "comment": "25 pages, no figures. Some new results added", "categories": [ "math.CA" ], "abstract": "We present a sufficient condition of existence of asymptotic expansion in negative power series for a function defined by Taylor series and unitary formulas for coefficients of this expansion. An example of computing scheme for arctangent function is represented.", "revisions": [ { "version": "v2", "updated": "2010-06-18T15:23:11.000Z" } ], "analyses": { "subjects": [ "34E05" ], "keywords": [ "asymptotic expansion", "unitary formulas", "sufficient condition", "taylor series" ], "note": { "typesetting": "TeX", "pages": 25, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2010arXiv1006.0178N" } } }