Well--Poised Macdonald Functions W_lambda and Jackson Coefficients omega_lambda On BC_n

Details Well--Poised Macdonald Functions W_lambda and Jackson Coefficients omega_lambda On BC_n Well--Poised Macdonald Functions W_lambda and Jackson Coefficients omega_lambda On BC_n

2004-12-08

arxiv.org/abs/math/0412153v1

Mathematics

Combinatorics

29 pages

Scientific paper

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.

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