Evaluating Jacquet's GL(n) Whittaker function
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This article has already been published in the journal: Mathematics of computation. © 2008 American Mathematical Society.
Abstract
Algorithms 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.
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Broughan, K.A.(2008). Evaluating Jacquet's GL(n) Whittaker function. Mathematics of computation.
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American Mathematical Society