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.
机构:
Seikei Univ, Fac Sci & Technol, 3-3-1 Kichijoji Kitamachi, Tokyo 1808633, JapanSeikei Univ, Fac Sci & Technol, 3-3-1 Kichijoji Kitamachi, Tokyo 1808633, Japan