{ "id": "1811.05276", "version": "v1", "published": "2018-11-13T13:21:55.000Z", "updated": "2018-11-13T13:21:55.000Z", "title": "Asymptotics of Integrals of Some Functions Related to the Degenerate Third Painlevé Equation", "authors": [ "A. V. Kitaev", "A. Vartanian" ], "categories": [ "math.CA" ], "abstract": "It is shown how to calculate asymptotics of integrals over the positive semi-axis of two functions related to the Degenerate Third Painlev\\'e Equation (dP3). As an example, the corresponding results for the meromorphic solution of the dP3 vanishing at the origin are presented.", "revisions": [ { "version": "v1", "updated": "2018-11-13T13:21:55.000Z" } ], "analyses": { "keywords": [ "asymptotics", "degenerate third painleve equation", "meromorphic solution", "corresponding results", "positive semi-axis" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }