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Evaluating Jacquet's  Whittaker function
Author(s):
Kevin
A.
Broughan.
Journal:
Math. Comp.
78
(2009),
1061-1072.
MSC (2000):
Primary 33C15, 22E30, 11E57, 11E76
Posted:
August 28, 2008
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Additional information
Abstract:
Algorithms for the explicit symbolic and numeric evaluation of Jacquet's Whittaker function for the  based generalized upper half-plane for  , 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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Additional Information:
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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