Algorithm 969: Computation of the Incomplete Gamma Function for Negative Values of the Argument

Ver/Abrir
Identificadores
URI: http://hdl.handle.net/10902/11338
ISSN: 0098-3500
ISSN: 1557-7295
Compartir
Estadísticas
Ver Estadísticas
Google Scholar
Registro completo
Mostrar el registro completo DC
Autoría
Gil Gómez, AmparoAutoridad Unican; Ruiz Antolín, DiegoAutoridad Unican; Segura Sala, José JavierAutoridad Unican; Temme, Nicolaas MariaAutoridad Unican
Fecha
2017-01
Derechos
© ACM, 2017. This is the author's version of the work. It is posted here for your personal use. Not for redistribution. The definitive Version of Record was published in ACM Transactions on Mathematical Software (TOMS), http://dx.doi.org/10.1145/10.1145/2972951
Publicado en
ACM Transactions on Mathematical Software V. 43 Issue 3, January 2017 Article No. 26
Editorial
Association for Computing Machinery (ACM)
Enlace a la publicación
Resumen/Abstract
An algorithm for computing the incomplete gamma function ?*(a, z) for real values of the parameter a and negative real values of the argument z is presented. The algorithm combines the use of series expansions, Poincaré-type expansions, uniform asymptotic expansions, and recurrence relations, depending on the parameter region. A relative accuracy ~10-13 in the parameter region (a, z) ? [- 500, 500] × [- 500, 0) can be obtained when computing the function ?*(a, z) with the Fortran 90 module IncgamNEG implementing the algorithm.
Colecciones a las que pertenece