Broughan, Kevin A.2009-01-182009-01-182008Broughan, K.A.(2008). Evaluating Jacquet's GL(n) Whittaker function. Mathematics of computation.https://hdl.handle.net/10289/1797Algorithms for the explicit symbolic and numeric evaluation of Jacquet's Whittaker function for the GL(n,R)based generalized upper half-plane for n≥2, and an implementation for symbolic evaluation in the Mathematica package GL(n)pack, are described. This requires a comparison of the different definitions of Whittaker function which have appeared in the literature.application/pdfenThis article has already been published in the journal: Mathematics of computation. © 2008 American Mathematical Society.mathematicsK-Bessel functionWhittaker functionJacquet’s Whittaker functionsymbolic evaluationquadratureunbounded domainJournal Article10.1090/S0025-5718-08-02158-3