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Well--Poised Macdonald Functions Wlambda and Jackson Coefficients omegalambda On BCn

Hasan Coskun, Robert A. Gustafson

math.COarXiv:math/0412153

Abstract

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

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