Mathematics of Computation

Author(s): Kevin A. Broughan.
Journal: Math. Comp.
MSC (2000): Primary 33C15, 22E30, 11E57, 11E76
Posted: August 28, 2008
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Abstract: Algorithms for the explicit symbolic and numeric evaluation of Jacquet's Whittaker function for the $GL(n,\mathbb{R})$ based generalized upper half-plane for $n\ge 2$ , 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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Retrieve articles in Mathematics of Computation with MSC (2000): 33C15, 22E30, 11E57, 11E76

Kevin A. Broughan
Affiliation: Department of Mathematics, University of Waikato, Hamilton, New Zealand
Email: kab@waikato.ac.nz

DOI: 10.1090/S0025-5718-08-02158-3
PII: S 0025-5718(08)02158-3
Keywords: K-Bessel function, Whittaker function, Jacquet Whittaker function, symbolic evaluation, quadrature, unbounded domain.
Received by editor(s): November 6, 2006
Received by editor(s) in revised form: March 3, 2008
Posted: August 28, 2008
Copyright of article: Copyright 2008, American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.

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