Well–Poised Macdonald Functions Wλ and Jackson Coefficients ωλ On BCn

The very well–poised elliptic Macdonald functionsWλ/μ in n independent variables are defined and their properties are investigated. The Wλ/μ are generalized by introducing an extra parameter to the elliptic Jackson coefficients ωλ/μ and their properties are studied. BCn multivariable Jackson sums in terms of both Wλ and ωλ functions are proved.

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