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dc.contributor.authorGil Gómez, Amparo 
dc.contributor.authorSegura Sala, José Javier 
dc.contributor.authorTemme, Nicolaas Maria 
dc.contributor.otherUniversidad de Cantabriaes_ES
dc.identifier.otherMTM2012-34787 ; MTM2015-67142-P.es_ES
dc.description.abstractAn efficient algorithm and a Fortran 90 module (LaguerrePol) for computing Laguerre polynomials View the MathML source are presented. The standard three-term recurrence relation satisfied by the polynomials and different types of asymptotic expansions valid for n large and a small, are used depending on the parameter region. Based on tests of contiguous relations in the parameter a and the degree n satisfied by the polynomials, we claim that a relative accuracy close to or better than 10-12 can be obtained using the module LaguerrePol for computing the functions View the MathML source in the parameter range z=0, -1<a=5, n=0. Program summary Program Title: Module LaguerrePol Program Files doi: Licensing provisions: CC by 4.0 Programming language: Fortran 90 Nature of problem: Laguerre polynomials View the MathML source appear in a vast number of applications in physics, such as quantum mechanics, plasma physics, etc. Solution method: The algorithm uses asymptotic expansions or recurrence relations for computing the function values depending on the range of parameters. Restrictions: The admissible input parameter ranges for computing the Laguerre View the MathML source are z=0, -1<a=5, n=0.es_ES
dc.description.sponsorshipThe authors acknowledge financial support from Ministerio de Ciencia e Innovación, projects MTM2012-34787, MTM2015-67142-Pes_ES
dc.format.extent8 p.es_ES
dc.rightsAtribución-NoComercial-SinDerivadas 3.0 Españaes_ES
dc.sourceComputer Physics Communications Volume 210, January 2017, Pages 124–131es_ES
dc.titleEfficient computation of Laguerre polynomialses_ES

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Atribución-NoComercial-SinDerivadas 3.0 EspañaExcept where otherwise noted, this item's license is described as Atribución-NoComercial-SinDerivadas 3.0 España