Well--Poised Macdonald Functions W_lambda and Jackson Coefficients omega_lambda On BC_n
Combinatorics
2007-05-23 v1 Quantum Algebra
Abstract
The very well--poised elliptic Macdonald functions W_lambda in n independent variables are defined and their properties are investigated. The W_lambda are generalized by introducing an extra parameter to the elliptic Jackson coefficients omega_lambda and their properties are studied. BC_n multivariable Jackson sums in terms of both W_lambda and omega_lambda functions are proved.
Cite
@article{arxiv.math/0412153,
title = {Well--Poised Macdonald Functions W_lambda and Jackson Coefficients omega_lambda On BC_n},
author = {Hasan Coskun and Robert A. Gustafson},
journal= {arXiv preprint arXiv:math/0412153},
year = {2007}
}
Comments
29 pages