| dc.contributor.author | Gil Gómez, Amparo | es_ES |
| dc.contributor.author | Segura Sala, José Javier | es_ES |
| dc.contributor.author | Temme, Nicolaas Maria | es_ES |
| dc.contributor.other | Universidad de Cantabria | es_ES |
| dc.date.accessioned | 2017-02-10T13:18:13Z | |
| dc.date.available | 2017-11-15T03:45:09Z | |
| dc.date.issued | 2015-11-15 | es_ES |
| dc.identifier.issn | 0096-3003 | es_ES |
| dc.identifier.issn | 1873-5649 | es_ES |
| dc.identifier.other | MTM2012-34787 | es_ES |
| dc.identifier.uri | http://hdl.handle.net/10902/10277 | |
| dc.description.abstract | Abstract
We describe methods for computing the Kummer function U(a, b, z) for small values of z, with special attention to small values of b. For these values of b the connection formula that represents U(a, b, z) as a linear combination of two 1F1-functions needs a limiting procedure. We use the power series of the 1F1-functions and consider the terms for which this limiting procedure is needed. We give recursion relations for higher terms in the expansion, and we consider the derivative U′(a, b, z) as well. We also discuss the performance for small |z| of an asymptotic approximation of the Kummer function in terms of modified Bessel functions. | es_ES |
| dc.format.extent | 8 p. | es_ES |
| dc.language.iso | eng | es_ES |
| dc.publisher | Elsevier Inc. | es_ES |
| dc.rights | Atribución-NoComercial-SinDerivadas 3.0 España | * |
| dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/es/ | * |
| dc.source | Applied Mathematics and Computation, Volume 271, 15 November 2015, Pages 532–539 | es_ES |
| dc.title | Computing the Kummer function U(a, b, z) for small values of the arguments | es_ES |
| dc.type | info:eu-repo/semantics/article | es_ES |
| dc.relation.publisherVersion | https://doi.org/10.1016/j.amc.2015.09.047 | es_ES |
| dc.rights.accessRights | openAccess | es_ES |
| dc.identifier.DOI | 10.1016/j.amc.2015.09.047 | es_ES |
| dc.type.version | acceptedVersion | es_ES |
Excepto si se señala otra cosa, la licencia del ítem se describe como Atribución-NoComercial-SinDerivadas 3.0 España
