The uniform asymptotic method "saddle point near an end point" revisited
| dc.contributor.author | López García, José Luis | |
| dc.contributor.author | Pagola Martínez, Pedro Jesús | |
| dc.contributor.author | Palacios Herrero, Pablo | |
| dc.contributor.department | Estadística, Informática y Matemáticas | es_ES |
| dc.contributor.department | Estatistika, Informatika eta Matematika | eu |
| dc.contributor.department | Institute for Advanced Materials and Mathematics - INAMAT2 | en |
| dc.contributor.funder | Universidad Pública de Navarra / Nafarroako Unibertistate Publikoa | es |
| dc.date.accessioned | 2024-05-24T14:09:15Z | |
| dc.date.available | 2024-05-24T14:09:15Z | |
| dc.date.issued | 2024 | |
| dc.date.updated | 2024-05-24T13:42:53Z | |
| dc.description.abstract | We continue the program initiated in [López & all, 2009–2011] to simplify asymptotic methods for integrals: in this paper we revise the uniform method ‘‘saddle point near an end point’’. We obtain a more systematic version of this uniform asymptotic method where the computation of the coefficients of the asymptotic expansion is remarkably simpler than in the classical method. On the other hand, as in the standard method, the asymptotic sequence is given in terms of parabolic cylinder functions. New asymptotic expansions of the confluent hypergeometric functions 𝑀(𝑐, 𝑥∕𝛼 + 𝑐 + 1, 𝑥) and 𝑈(𝑐, 𝛼𝑥 + 𝑐 + 1, 𝑥) for large 𝑥, 𝑐 fixed, uniformly valid for 𝛼 ∈ (0, ∞), are given as an illustration. | en |
| dc.description.sponsorship | This research was supported by the Ministerio de Ciencia, Innovación y Universidades, grant PID2022-136441NB-I00. Open access funding provided by Universidad Pública de Navarra. | en |
| dc.format.mimetype | application/pdf | en |
| dc.identifier.citation | López, J. L., Pagola, P. J., Palacios, P. (2024) The uniform asymptotic method "saddle point near an end point" revisited. Journal of Computational and Applied Mathematics, 443, 1-13. https://doi.org/10.1016/j.cam.2024.115764. | en |
| dc.identifier.doi | 10.1016/j.cam.2024.115764 | |
| dc.identifier.issn | 0377-0427 | |
| dc.identifier.uri | https://academica-e.unavarra.es/handle/2454/48191 | |
| dc.language.iso | eng | en |
| dc.publisher | Elsevier | en |
| dc.relation.ispartof | Journal of Computational and Applied Mathematics 443, 2024, 115764 | en |
| dc.relation.projectID | info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2021-2023/PID2022-136441NB-I00/ES/ | |
| dc.relation.publisherversion | https://doi.org/10.1016/j.cam.2024.115764 | |
| dc.rights | © 2024 The Authors. This is an open access article under the CC BY-NC license. | en |
| dc.rights.accessRights | info:eu-repo/semantics/openAccess | |
| dc.rights.uri | https://creativecommons.org/licenses/by-nc/4.0/ | |
| dc.subject | Asymptotic expansions | en |
| dc.subject | Special functions | en |
| dc.subject | Uniform expansions | en |
| dc.title | The uniform asymptotic method "saddle point near an end point" revisited | en |
| dc.type | info:eu-repo/semantics/article | |
| dc.type.version | info:eu-repo/semantics/publishedVersion | |
| dspace.entity.type | Publication | |
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