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:
Dongguk Univ, Dept Math, Gyeongju 38066, South KoreaDongguk Univ, Dept Math, Gyeongju 38066, South Korea
Choi, Junesang
Nisar, Kottakkaran Sooppy
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Prince Sattam Bin Abdulaziz Univ, Coll Arts & Sci Wadi Aldawaser, Dept Math, Alkharj 11991, Saudi ArabiaDongguk Univ, Dept Math, Gyeongju 38066, South Korea
Nisar, Kottakkaran Sooppy
Rahman, Gauhar
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Hazara Univ, Dept Math & Stat, Mansehra 21120, Khyber Pakhtunk, PakistanDongguk Univ, Dept Math, Gyeongju 38066, South Korea
Rahman, Gauhar
COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY,
2021,
36
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: 705
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714