|
Archivo Abierto Institucional de la Universidad Carlos III de Madrid >
Investigación >
Departamentos >
Departamento de Matemáticas >
Grupo de Análisis Matemático Aplicado (GAMA) >
DM - GAMA - Artículos de Revistas >
Please use this identifier to cite or link to this item:
http://hdl.handle.net/10016/6737
|
| Title: | Computational properties of three-term recurrence relations for Kummer functions |
| Author(s): | Deaño, Alfredo
Segura, Javier
Temme, Nico M. |
| Publisher: | Elsevier |
| Issued date: | 15-Jan-2010 |
| Citation: | Journal of Computational and Applied Mathematics, 2010, vol. 233, n. 6, p. 1505-1510 |
| URI: | http://hdl.handle.net/10016/6737 |
| ISSN: | 0377-0427 |
| DOI: | 10.1016/j.cam.2008.03.051 |
| Description: | 6 pages, 3 figures.-- MSC2000 codes: 33C15; 39A11; 41A60; 65D20.-- Issue title: "Special Functions, Information Theory, and Mathematical Physics. Special issue dedicated to Professor Jesús Sánchez Dehesa on the occasion of his 60th birthday".
Zbl#: Zbl pre05650069 |
| Abstract: | Several three-term recurrence relations for confluent hypergeometric functions are analyzed from a numerical point of view. Minimal and dominant solutions for complex values of the variable z are given, derived from asymptotic estimates of the Whittaker functions with large parameters. The Laguerre polynomials and the regular Coulomb wave functions are studied as particular cases, with numerical examples of their computation. |
| Sponsor: | The authors acknowledge financial support from the Spanish Ministry of Education and Science (Ministerio de Educación y Ciencia), project MTM2006–09050. The first author acknowledges financial support from the program of postdoctoral research grants (Programa de becas postdoctorales) of the Spanish Ministry of Education and Science (Ministerio de Educación y Ciencia). |
| Review: | PeerReviewed |
| Publisher version: | http://dx.doi.org/10.1016/j.cam.2008.03.051 |
| Keywords: | Kummer functions
Confluent hypergeometric functions
Stability of recurrence relations
Numerical evaluation of special functions
Asymptotic analysis |
| Rights: | © Elsevier |
| Appears in Collections: | DM - GAMA - Artículos de Revistas
|
Items in E-Archivo are protected by copyright, with all rights reserved, unless otherwise indicated.
|
